Chapter 15, Problem 100A

a.

Interpretation Introduction

Interpretation: To give the significant figures in each measurement.

Concept Introduction: Significant figures consist of certain digits and one estimated digit. The estimated degree of error in a measurement is referred to as the measurement's uncertainty. All the number known with absolute certainty plus one estimated digit is considered to have some degree of uncertainty.

Answer to Problem 100A

The number of significant figures is five.

Explanation of Solution

The rules of the significant figure are as follows:

1. Non-zero is always significant.
2. Between two significant numbers, any zeros are significant.
3. Only trailing zeros or a final zero in the decimal part are significant.

The given measurement is 56.003 g.

Thus, the significant figures are five in this measurement.

b.

Interpretation Introduction

Interpretation: To give the significant figures in each measurement.

Concept Introduction: Significant figures consist of certain digits and one estimated digit. The estimated degree of error in a measurement is referred to as the measurement's uncertainty. All the number known with absolute certainty plus one estimated digit is considered to have some degree of uncertainty.

The rules of the significant figure are as follows:

1. Non-zero is always significant.
2. Between two significant numbers, any zeros are significant.
3. Only trailing zeros or a final zero in the decimal part are significant.

Answer to Problem 100A

The number of significant figures is two.

Explanation of Solution

The rules of the significant figure are as follows:

1. Non-zero is always significant.
2. Between two significant numbers, any zeros are significant.
3. Only trailing zeros or a final zero in the decimal part are significant.

The given measurement is 750 mL.

Thus, the significant figures are two in this measurement.

c.

Interpretation Introduction

Interpretation: To give the significant figures in each measurement.

Concept Introduction: Significant figures consist of certain digits and one estimated digit. The estimated degree of error in a measurement is referred to as the measurement's uncertainty. All the number known with absolute certainty plus one estimated digit is considered to have some degree of uncertainty.

The rules of the significant figure are as follows:

1. Non-zero is always significant.
2. Between two significant numbers, any zeros are significant.
3. Only trailing zeros or a final zero in the decimal part are significant.

Answer to Problem 100A

The number of significant figures is two.

Explanation of Solution

The rules of the significant figure are as follows:

1. Non-zero is always significant.
2. Between two significant numbers, any zeros are significant.
3. Only trailing zeros or a final zero in the decimal part are significant.

The given measurement is 0.0056 cm.

Thus, the significant figures are two in this measurement.

d.

Interpretation Introduction

Interpretation: To give the significant figures in each measurement.

Concept Introduction: Significant figures consist of certain digits and one estimated digit. The estimated degree of error in a measurement is referred to as the measurement's uncertainty. All the number known with absolute certainty plus one estimated digit is considered to have some degree of uncertainty.

The rules of the significant figure are as follows:

1. Non-zero is always significant.
2. Between two significant numbers, any zeros are significant.
3. Only trailing zeros or a final zero in the decimal part are significant.

Answer to Problem 100A

The number of significant figures is four.

Explanation of Solution

The rules of the significant figure are as follows:

1. Non-zero is always significant.
2. Between two significant numbers, any zeros are significant.
3. Only trailing zeros or a final zero in the decimal part are significant.

The given measurement is 0.4005 dg.

Thus, the significant figures are four in this measurement.