Chapter 3, Problem 55E

Interpretation Introduction

(a)

Interpretation:

To express the significant figure for the given quantity 75.9 g sugar.

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 55E

The significant figure for 75.9 g sugar is 3

Explanation of Solution

Identifying the significant figures;

All non-zero digits are 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.

So for the given question 75.9 g sugar, all is non-zero digit with the significant figure is 3

Conclusion

Thus the significant figure for 75.9 g sugar is 3

Interpretation Introduction

(b)

Interpretation:

To express the significant figure for the given quantity 89.583 mL weed killer.

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 55E

The significant figure for 89.583 mL weed killer is 5

Explanation of Solution

Identifying the significant figures;

All non-zero digits are 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.

So for the given question 89.583 mL weed killer, all are non-zero digit with the significant figure is 5

Conclusion

Thus the significant figure for 89.583 mL weed killer is 5

Interpretation Introduction

(c)

Interpretation:

To express the significant figure for the given quantity 0.366 in. diameter glass fiber.

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 55E

The significant figure for 0.366 in. diameter glass fiber is 3

Explanation of Solution

Identifying the significant figures;

All non-zero digits are 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.

So for the given question 0.366 in. diameter glass fiber, leading zero before a digit with the significant figure is 3.

Conclusion

Thus the significant figure for 0.366 in. diameter glass fiber is 3

Interpretation Introduction

(d)

Interpretation:

To express the significant figure for the given quantity 48, 000 cm wire, (e) 0.80 ft spaghetti.

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 55E

The significant figure for 48, 000 cm wire is uncertain with significant figure-2 to 5

Explanation of Solution

Identifying the significant figures;

All non-zero digits are 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.

So for the given question 48, 000 cm wire, post zero along digit with the significant figure is is uncertain with significant figure-2 to 5.

Conclusion

Thus the significant figure for 48, 000 cm wire is uncertain with significant figure-2 to 5

Interpretation Introduction

(e)

Interpretation:

To express the significant figure for the given quantity 0.80 ft spaghetti.

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 55E

The significant figure for 0.80 ft spaghetti is 2

Explanation of Solution

Identifying the significant figures;

All non-zero digits are 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.

So for the given question 0.80 ft spaghetti, leading zero with digit left to the significant figure is 2

Conclusion

Thus the significant figure for 0.80 ft spaghetti is 2.

Interpretation Introduction

(f)

Interpretation:

To express the significant figure for the given quantity 0.625 kg silver.

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 55E

The significant figure for 0.625 kg silver is 3

Explanation of Solution

Identifying the significant figures;

All non-zero digits are 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.

So for the given question 0.625 kg silver, leading zero with digit the significant figure is 3.

Conclusion

Thus the significant figure for 0.625 kg silver is 3.

Interpretation Introduction

(g)

Interpretation:

To express the significant figure for the given quantity 9.6941 x 10 ⁶ cm thread.

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 55E

The significant figure for 9.6941 x 10 ⁶ cm thread is 5

Explanation of Solution

Identifying the significant figures;

All non-zero digits are 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.

So for the given question 9.6941 x 10 ⁶ cm thread, non-zero digit left to the significant figure is 5.

Conclusion

Thus the significant figure for 9.6941 x 10 ⁶ cm thread is 5

Interpretation Introduction

(h)

Interpretation:

To express the significant figure for the given quantity 8.010 x 10 ^-3 L acid.

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 55E

The significant figure for 8.010 x 10 ^-3 L acid is 4

Explanation of Solution

Identifying the significant figures;

All non-zero digits are 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.

So for the given question 8.010 x 10 ^-3 L acid, zero and digit combined the significant figure is 4.

Conclusion

Thus the significant figure for 8.010 x 10 ^-3 L acid is 4