Chapter 3, Problem 57A

a)

Interpretation Introduction

Interpretation : The number of significant figures in each of the following measurements.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Measurements must always be reported to the right number of significant figures.

Answer to Problem 57A

The number of significant figures is unlimited.

Explanation of Solution

There is a set of rules to detect the digits in a significant measured value.

According to rule-6, In some cases, a number may have an infinite number of significant figures. The situation where precisely defined quantities, as those found in a measurement instrument.

The given measurement is $60\text{s}\text{=}\text{1}\text{min}$ .

The given measurement is a defined quantity. According to rule 6, the significant figure is unlimited.

b)

Interpretation Introduction

Interpretation : The number of significant figures in each of the following measurements.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Measurements must always be reported to the right number of significant figures.

Answer to Problem 57A

The number of significant figures is 4.

Explanation of Solution

There is a set of rules to detect the digits in a significant measured value. The rules are as follows:

1. It is assumed that every nonzero digit in a given measurement is significant.
2. Zeros that come in between nonzero numbers are significant.
3. The leftmost zeros that exist before nonzero digits are not significant.
4. A zero following a decimal point and to the right of it are both always significant.
5. Zeros that are to the left of an understandable decimal point at the rightmost end of measurement are not significant.
6. In some cases, a number may have an infinite number of significant figures.

The given measurement is $47.70\text{g}$ .

According to rules 1 and 4, the significant figure is 4.

c)

Interpretation Introduction

Interpretation : The number of significant figures in each of the following measurements.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Measurements must always be reported to the right number of significant figures.

Answer to Problem 57A

The number of significant figures is unlimited.

Explanation of Solution

There is a set of rules to detect the digits in a significant measured value.

According to rule-6, In some cases, a number may have an infinite number of significant figures. The situation where precisely defined quantities, as those found in a measurement instrument.

The given measurement is $1\text{km}\text{=}\text{1000}\text{m}$ .

The given measurement is a defined quantity. According to rule 6, the significant figure is unlimited.

d)

Interpretation Introduction

Interpretation : The number of significant figures in each of the following measurements.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Measurements must always be reported to the right number of significant figures.

Answer to Problem 57A

The number of significant figures is unlimited.

Explanation of Solution

There is a set of rules to detect the digits in a significant measured value.

According to rule-6, In some cases, a number may have an infinite number of significant figures. The counted numbers are exact.

The given measurement is $25\text{computers}$ .

The given measurement is the exact count. According to rule 6, the significant figure is unlimited.

e)

Interpretation Introduction

Interpretation : The number of significant figures in each of the following measurements.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Measurements must always be reported to the right number of significant figures.

Answer to Problem 57A

The number of significant figures is unlimited.

Explanation of Solution

There is a set of rules to detect the digits in a significant measured value.

According to rule-6, In some cases, a number may have an infinite number of significant figures. The counted numbers are exact.

The given measurement is $9\text{innings}$ .

The given measurement is the exact count. According to rule 6, the significant figure is unlimited.

f)

Interpretation Introduction

Interpretation : The number of significant figures in each of the following measurements.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement. Measurements must always be reported to the right number of significant figures.

Answer to Problem 57A

The number of significant figures is 3.

Explanation of Solution

There is a set of rules to detect the digits in a significant measured value. The rules are as follows:

1. It is assumed that every nonzero digit in a given measurement is significant.
2. Zeros that come in between nonzero numbers are significant.
3. The leftmost zeros that exist before nonzero digits are not significant.
4. A zero following a decimal point and to the right of it are both always significant.
5. Zeros that are to the left of an understandable decimal point at the rightmost end of measurement are not significant.
6. In some cases, a number may have an infinite number of significant figures.

The given measurement is $0.0950\text{m}$ .

According to rules 1,3 and 4, the significant figure is 3.