
Concept explainers
(a)
Interpretation:
To express the significant figure for the given quantity 4.5609 g salt.
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 56E
The significant figure for 4.5609 g salt is 5.
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.
So for the given question 4.5609 g salt, all is non-zero digit with the significant figure is 5.
Thus the significant figure for 4.5609 g salt is 5
(b)
Interpretation:
To express the significant figure for the given quantity 0.10 in. diameter wire.
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 56E
The significant figure for 0.10 in. diameter wire is 2.
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.
So for the given question 0.10 in. diameter wire, leading zero with digit with the significant figure is 2
Thus the significant figure for 0.10 in. diameter wire is 2
(c)
Interpretation:
To express the significant figure for the given quantity
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 56E
The significant figure for
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.
So for the given question
Thus the significant figure for
(d)
Interpretation:
To express the significant figure for the given quantity
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 56E
The significant figure for
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.
So for the given question
Thus the significant figure for 5310 cm 3 copper is 4.
(e)
Interpretation:
To express the significant figure for the given quantity 0.0231 ft licorice.
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 56E
The significant figure for 0.0231 ft licorice is 3.
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.
So for the given question 0.0231 ft licorice, leading zero with digit with the significant figure is 3.
Thus the significant figure for 0.0231 ft licorice is 3.
(f)
Interpretation:
To express the significant figure for the given quantity
Concept introduction:
The measurement is a characteristic number to the object 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 has 7 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 several forms with various choices of the basic units. The metric system indicates a single basic unit for number of physical quantities. Other quantities are derived from the SI units. 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 56E
The significant figure for
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.
So for the given question
Thus the significant figure for
(g)
Interpretation:
To express the significant figure for the given quantity 328 mL ginger ale.
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 56E
The significant figure for 328 mL ginger ale is 3.
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.
So for the given question 328 mL ginger ale, leading zero with digit with the significant figure is 3.
Thus the significant figure for 328 mL ginger ale is 3.
(h)
Interpretation:
To express the significant figure for the given quantity 1200.0 mg dye.
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 56E
The significant figure for 1200.0 mg dye is 5.
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.
So for the given question 1200.0 mg dye, leading zero with digit with the significant figure is 5.
Thus the significant figure for 1200.0 mg dye is 5.
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Chapter 3 Solutions
Introductory Chemistry: An Active Learning Approach
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