Chapter 3.1, Problem 16LC

a)

Interpretation Introduction

Interpretation : The number of significant figures in each of the following measurements is to be determined.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement.

Answer to Problem 16LC

The number of significant figures is unlimited.

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

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 and at the rightmost end of measurement are not significant.
6. In some cases, a number may have an infinite number of significant figures. The first situation is counting, and the other situation is defined quantities within a system.

The given measurement is 11 soccer players.

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

b)

Interpretation Introduction

Interpretation : The number of significant figures in the given measurement is to be determined.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement.

Answer to Problem 16LC

The number of significant figures is 5.

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

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 each 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 0.070020.

According to rule 2,3,4, the significant figure is 5.

c)

Interpretation Introduction

Interpretation : The number of significant figures in the given measurement is to be determined.

Concept Introduction : The known digits plus the last, estimated digit make up the significant figures in a measurement.

Answer to Problem 16LC

The number of significant figures is 3.

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

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 each 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 and 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 10,800 meters.

According to rule 5, the significant figure is 3.

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.

Answer to Problem 16LC

The number of significant figures is 2.

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

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 is 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 0.010 square meters.

According to rules 3,4, the significant figure is 2.

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.

Answer to Problem 16LC

The number of significant figures is 3.

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

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 is 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 5.00 cubic meters.

According to rule 4, the significant figure is 3.

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.

Answer to Problem 16LC

The number of significant figures is unlimited.

Explanation of Solution

The known digits plus the last, estimated digit make up the significant figures in a measurement.

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 507 thumbtacks.

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