(a) 52.20 mL helium, (b) 17.963 g nitrogen, (c) 78.45 mg MSG, (d) 23, 642, 000 mm wavelength, (e) 0.0041962 kg lead.

Question

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Answer 1

Textbook Question

Chapter 3, Problem 58E

(a) 52.20 mL helium, (b) 17.963 g nitrogen, (c) 78.45 mg MSG, (d) 23, 642, 000 mm wavelength, (e) 0.0041962 kg lead.

Expert Solution

Interpretation Introduction

(a)

Interpretation:

To round off the given quantity to three significant figure for 52.20 mL helium

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates a single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.2 mL helium

Expert Solution

Interpretation Introduction

(b)

Interpretation:

To round off the given quantity to three significant figure for 17.963 g nitrogen

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figure for 17.963 g nitrogen is 18.9 g nitrogen

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Expert Solution

Interpretation Introduction

(c)

Interpretation:

To round off the given quantity to three significant figure for 78.45 mg MSG

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 78.45 mg MSG is 78.5 mg MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 78.45 mg MSG is 78.5 mg MSG

Conclusion

Thus round off the quantity to three significant figure for 78.45 mg MSG is 78.5 mg MSG

Expert Solution

Interpretation Introduction

(d)

Interpretation:

To round off the given quantity to three significant figure for 23, 642, 000 mm wavelength

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 23, 642, 000 mm wavelength is 23.6×105 mm wavelength MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Conclusion

Thus round off the quantity to three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Expert Solution

Interpretation Introduction

(e)

Interpretation:

To round off the given quantity to three significant figures for 0.0041962 kg lead.

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 0.0041962 kg lead is 4.20×10−5 kg lead

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 0.0041962 kg lead is 4.20×105 kg lead

Conclusion

Thus round off the quantity to three significant figure for 0.0041962 kg lead is 4.20×105 kg lead

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Answer 2

Textbook Question

Chapter 3, Problem 58E

(a) 52.20 mL helium, (b) 17.963 g nitrogen, (c) 78.45 mg MSG, (d) 23, 642, 000 mm wavelength, (e) 0.0041962 kg lead.

Expert Solution

Interpretation Introduction

(a)

Interpretation:

To round off the given quantity to three significant figure for 52.20 mL helium

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates a single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.2 mL helium

Expert Solution

Interpretation Introduction

(b)

Interpretation:

To round off the given quantity to three significant figure for 17.963 g nitrogen

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figure for 17.963 g nitrogen is 18.9 g nitrogen

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Expert Solution

Interpretation Introduction

(c)

Interpretation:

To round off the given quantity to three significant figure for 78.45 mg MSG

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 78.45 mg MSG is 78.5 mg MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 78.45 mg MSG is 78.5 mg MSG

Conclusion

Thus round off the quantity to three significant figure for 78.45 mg MSG is 78.5 mg MSG

Expert Solution

Interpretation Introduction

(d)

Interpretation:

To round off the given quantity to three significant figure for 23, 642, 000 mm wavelength

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 23, 642, 000 mm wavelength is 23.6×105 mm wavelength MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Conclusion

Thus round off the quantity to three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Expert Solution

Interpretation Introduction

(e)

Interpretation:

To round off the given quantity to three significant figures for 0.0041962 kg lead.

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 0.0041962 kg lead is 4.20×10−5 kg lead

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 0.0041962 kg lead is 4.20×105 kg lead

Conclusion

Thus round off the quantity to three significant figure for 0.0041962 kg lead is 4.20×105 kg lead

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Answer 3

Textbook Question

Chapter 3, Problem 58E

(a) 52.20 mL helium, (b) 17.963 g nitrogen, (c) 78.45 mg MSG, (d) 23, 642, 000 mm wavelength, (e) 0.0041962 kg lead.

Expert Solution

Interpretation Introduction

(a)

Interpretation:

To round off the given quantity to three significant figure for 52.20 mL helium

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates a single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.2 mL helium

Expert Solution

Interpretation Introduction

(b)

Interpretation:

To round off the given quantity to three significant figure for 17.963 g nitrogen

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figure for 17.963 g nitrogen is 18.9 g nitrogen

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Expert Solution

Interpretation Introduction

(c)

Interpretation:

To round off the given quantity to three significant figure for 78.45 mg MSG

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 78.45 mg MSG is 78.5 mg MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 78.45 mg MSG is 78.5 mg MSG

Conclusion

Thus round off the quantity to three significant figure for 78.45 mg MSG is 78.5 mg MSG

Expert Solution

Interpretation Introduction

(d)

Interpretation:

To round off the given quantity to three significant figure for 23, 642, 000 mm wavelength

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 23, 642, 000 mm wavelength is 23.6×105 mm wavelength MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Conclusion

Thus round off the quantity to three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Expert Solution

Interpretation Introduction

(e)

Interpretation:

To round off the given quantity to three significant figures for 0.0041962 kg lead.

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 0.0041962 kg lead is 4.20×10−5 kg lead

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 0.0041962 kg lead is 4.20×105 kg lead

Conclusion

Thus round off the quantity to three significant figure for 0.0041962 kg lead is 4.20×105 kg lead

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Answer 4

Textbook Question

Chapter 3, Problem 58E

(a) 52.20 mL helium, (b) 17.963 g nitrogen, (c) 78.45 mg MSG, (d) 23, 642, 000 mm wavelength, (e) 0.0041962 kg lead.

Expert Solution

Interpretation Introduction

(a)

Interpretation:

To round off the given quantity to three significant figure for 52.20 mL helium

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates a single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.2 mL helium

Expert Solution

Interpretation Introduction

(b)

Interpretation:

To round off the given quantity to three significant figure for 17.963 g nitrogen

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figure for 17.963 g nitrogen is 18.9 g nitrogen

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Expert Solution

Interpretation Introduction

(c)

Interpretation:

To round off the given quantity to three significant figure for 78.45 mg MSG

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 78.45 mg MSG is 78.5 mg MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 78.45 mg MSG is 78.5 mg MSG

Conclusion

Thus round off the quantity to three significant figure for 78.45 mg MSG is 78.5 mg MSG

Expert Solution

Interpretation Introduction

(d)

Interpretation:

To round off the given quantity to three significant figure for 23, 642, 000 mm wavelength

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 23, 642, 000 mm wavelength is 23.6×105 mm wavelength MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Conclusion

Thus round off the quantity to three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Expert Solution

Interpretation Introduction

(e)

Interpretation:

To round off the given quantity to three significant figures for 0.0041962 kg lead.

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 0.0041962 kg lead is 4.20×10−5 kg lead

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 0.0041962 kg lead is 4.20×105 kg lead

Conclusion

Thus round off the quantity to three significant figure for 0.0041962 kg lead is 4.20×105 kg lead

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

Interpretation Introduction

(a)

Interpretation:

To round off the given quantity to three significant figure for 52.20 mL helium

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates a single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.2 mL helium

Expert Solution

Interpretation Introduction

(b)

Interpretation:

To round off the given quantity to three significant figure for 17.963 g nitrogen

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figure for 17.963 g nitrogen is 18.9 g nitrogen

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Expert Solution

Interpretation Introduction

(c)

Interpretation:

To round off the given quantity to three significant figure for 78.45 mg MSG

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 78.45 mg MSG is 78.5 mg MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 78.45 mg MSG is 78.5 mg MSG

Conclusion

Thus round off the quantity to three significant figure for 78.45 mg MSG is 78.5 mg MSG

Expert Solution

Interpretation Introduction

(d)

Interpretation:

To round off the given quantity to three significant figure for 23, 642, 000 mm wavelength

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 23, 642, 000 mm wavelength is 23.6×105 mm wavelength MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Conclusion

Thus round off the quantity to three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Expert Solution

Interpretation Introduction

(e)

Interpretation:

To round off the given quantity to three significant figures for 0.0041962 kg lead.

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 0.0041962 kg lead is 4.20×10−5 kg lead

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 0.0041962 kg lead is 4.20×105 kg lead

Conclusion

Thus round off the quantity to three significant figure for 0.0041962 kg lead is 4.20×105 kg lead

Answer 8

Expert Solution

Interpretation Introduction

(a)

Interpretation:

To round off the given quantity to three significant figure for 52.20 mL helium

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates a single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.2 mL helium

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Interpretation Introduction

(a)

Interpretation:

To round off the given quantity to three significant figure for 52.20 mL helium

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates a single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer 13

Answer to Problem 58E

Round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Answer 14

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Answer 15

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.2 mL helium

Answer 16

Expert Solution

Interpretation Introduction

(b)

Interpretation:

To round off the given quantity to three significant figure for 17.963 g nitrogen

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figure for 17.963 g nitrogen is 18.9 g nitrogen

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Expert Solution

Answer 20

Interpretation Introduction

(b)

Interpretation:

To round off the given quantity to three significant figure for 17.963 g nitrogen

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer 21

Answer to Problem 58E

Round off the quantity to three significant figure for 17.963 g nitrogen is 18.9 g nitrogen

Answer 22

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 52.20 mL helium is 52.0 mL helium

Answer 23

Conclusion

Thus round off the quantity to three significant figures for 52.20 mL helium is 52.0 mL helium

Answer 24

Expert Solution

Interpretation Introduction

(c)

Interpretation:

To round off the given quantity to three significant figure for 78.45 mg MSG

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 78.45 mg MSG is 78.5 mg MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 78.45 mg MSG is 78.5 mg MSG

Conclusion

Thus round off the quantity to three significant figure for 78.45 mg MSG is 78.5 mg MSG

Answer 25

Expert Solution

Answer 26

Expert Solution

Answer 27

Expert Solution

Answer 28

Interpretation Introduction

(c)

Interpretation:

To round off the given quantity to three significant figure for 78.45 mg MSG

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer 29

Answer to Problem 58E

Round off the quantity to three significant figures for 78.45 mg MSG is 78.5 mg MSG

Answer 30

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 78.45 mg MSG is 78.5 mg MSG

Answer 31

Conclusion

Thus round off the quantity to three significant figure for 78.45 mg MSG is 78.5 mg MSG

Answer 32

Expert Solution

Interpretation Introduction

(d)

Interpretation:

To round off the given quantity to three significant figure for 23, 642, 000 mm wavelength

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 23, 642, 000 mm wavelength is 23.6×105 mm wavelength MSG

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Conclusion

Thus round off the quantity to three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Answer 33

Expert Solution

Answer 34

Expert Solution

Answer 35

Expert Solution

Answer 36

Interpretation Introduction

(d)

Interpretation:

To round off the given quantity to three significant figure for 23, 642, 000 mm wavelength

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer 37

Answer to Problem 58E

Round off the quantity to three significant figures for 23, 642, 000 mm wavelength is 23.6×105 mm wavelength MSG

Answer 38

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Answer 39

Conclusion

Thus round off the quantity to three significant figure for 23, 642, 000 mm wavelength is 23.6×105.

Answer 40

Expert Solution

Interpretation Introduction

(e)

Interpretation:

To round off the given quantity to three significant figures for 0.0041962 kg lead.

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer to Problem 58E

Round off the quantity to three significant figures for 0.0041962 kg lead is 4.20×10−5 kg lead

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 0.0041962 kg lead is 4.20×105 kg lead

Conclusion

Thus round off the quantity to three significant figure for 0.0041962 kg lead is 4.20×105 kg lead

Answer 41

Expert Solution

Answer 42

Expert Solution

Answer 43

Expert Solution

Answer 44

Interpretation Introduction

(e)

Interpretation:

To round off the given quantity to three significant figures for 0.0041962 kg lead.

Concept introduction:

The significant figures are also known as the significant digits. It is the uncertainty associate with the measurement by rounding the results. Moreover the significant figures are defined in a number of the digits with certainty and first uncertain digit. The measurement is a characteristic number to the object or event that can be compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system defines seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in the several forms with different choices of the basic units. The metric system indicates the single basic unit for the number of physical quantities. Other quantities are derived from the SI units.

Answer 45

Answer to Problem 58E

Round off the quantity to three significant figures for 0.0041962 kg lead is 4.20×10−5 kg lead

Answer 46

Explanation of Solution

To identifying the significant figures;

Number system having all non-zero digits is significant i.e., 1, 2, 3…

Zero between the numbers having non-zero are said to be significant: 102, 2005…

Leading zeros are never significant figures: 0.02, 001.887…

In a number system with a decimal point that is trailing zeros are significant figures: 2.02000, 5.4000….

In a number system without a decimal point that is trailing number zero may or may not said to be a significant figure.

To round the n significant figures

Identify the significant figure before rounding it. If the digit that is coming immediately right side of the final significant number greater than five digit number followed by other non-zero digit. Then add number 1 to the last or final significant figure. If digit that is coming immediately to the right of the last significant figure is a 5 not followed by any other number digits or followed only by number zero then rounding off the number to nearest one.

The three significant figures for 0.0041962 kg lead is 4.20×105 kg lead