Chapter 1, Problem 1.69P

(a)

Interpretation Introduction

Interpretation:

Whether the statement “the speed of light in a vacuum is a physical constant; to six significant figures, it is $2.99792\times {10}^8\text{ m/s}$ ” include an exact number or not is to be determined.

Concept introduction:

A number with no uncertainty and that has a certain value is called an exact number. It has an infinite number of significant figures and does not limit or affect the number of significant figures in the final answer of the calculation.

For an example $\text{1 dozen}$ of bananas is an exact number because in $\text{1 dozen}$ of bananas there are exactly 12 bananas.

(b)

Interpretation Introduction

Interpretation:

Whether the statement “the density of mercury at $25°\text{C}$ is $13.53\text{g/mL}$” include an exact number or not is to be determined.

Concept introduction:

A number with no uncertainty and that has a certain value is called an exact number. It has an infinite number of significant figures and does not limit or affect the number of significant figures in the final answer of the calculation.

For an example $\text{1 dozen}$ of bananas is an exact number because in $\text{1 dozen}$ of bananas there are exactly 12 bananas.

(c)

Interpretation Introduction

Interpretation:

Whether the statement “there are $3600\text{ s}$ in $1\text{ h}$” include an exact number or not is to be determined.

Concept introduction:

A number with no uncertainty and that has a certain value is called an exact number. It has an infinite number of significant figures and does not limit or affect the number of significant figures in the final answer of the calculation.

For an example $\text{1 dozen}$ of bananas is an exact number because in $\text{1 dozen}$ of bananas there are exactly 12 bananas.

(d)

Interpretation Introduction

Interpretation:

Whether the statement “In 2016, the united state had 50 states” include an exact number or not is to be determined.

Concept introduction:

A number with no uncertainty and that has a certain value is called an exact number. It has an infinite number of significant figures and does not limit or affect the number of significant figures in the final answer of the calculation.

For an example $\text{1 dozen}$ of bananas is an exact number because in $\text{1 dozen}$ of bananas there are exactly 12 bananas.