Chapter 5, Problem 71A

(a)

Interpretation Introduction

Interpretation:

For the given set of numbers, the number of significant figures must be given.

Concept Introduction :

Significant figures are those digits that having a meaning in the given number.

Calculation rule for the significant figure: -

1. It is a non-zero number.
2. The zeroes lie between the two non-zero digits are significant figure.
3. Zero lie before the non-zero number is not the significant number.
4. Zero lies after the non-zero number is the significant figure only in that case when number contains decimal point.
5. The zero lies after the non-zero number may or may not be a significant number in that case, where the number does not have a decimal point.
6. The placement of decimal at the trailing zero indicates the zero is significant.

Answer to Problem 71A

The significant figure is one.

Explanation of Solution

The given books contain over 500 pages. So, according to the significant calculation rule, the zeroes lie after the non-zero number is not a significant number in that case, where the number does not have a decimal point.

(b)

Interpretation Introduction

Interpretation:

For the given set of numbers, the number of significant figures must be given.

Concept Introduction :

Significant figures are those digits that having a meaning in the given number.

Calculation rule for the significant figure: -

1. It is a non-zero number.
2. The zeroes lie between the two non-zero digits are significant figure.
3. Zero lie before the non-zero number is not the significant number.
4. Zero lies after the non-zero number is the significant figure only in that case when number contains decimal point.
5. The zero lies after the non-zero number may or may not be a significant number in that case, where the number does not have a decimal point.
6. The placement of decimal at the trailing zero indicates the zero is significant.

Answer to Problem 71A

The significant figure is one.

Explanation of Solution

A mile is 5000 ft. So, according to the significant calculation rule, the zeroes lie after the non-zero number is not a significant number in that case, where the number does not have a decimal point.

(c)

Interpretation Introduction

Interpretation:

For the given set of numbers, the number of significant figures must be given.

Concept Introduction:

Significant figures are those digits that having a meaning in the given number.

Calculation rule for the significant figure: -

1. It is a non-zero number.
2. The zeroes lie between the two non-zero digits are significant figure.
3. Zero lie before the non-zero number is not the significant number.
4. Zero lies after the non-zero number is the significant figure only in that case when number contains decimal point.
5. The zero lies after the non-zero number may or may not be a significant number in that case, where the number does not have a decimal point.
6. The placement of decimal at the trailing zero indicates the zero is significant.
7. The placement of decimal at the trailing zero is indicates the zero is significant.

Answer to Problem 71A

The significant figure is four.

Explanation of Solution

Here, the given number is 1.059qt.

According to the significant calculation rules, there is a zero which lie between the two no-zero digits. Therefore, it is also a significant digit. So, the given number has 4 significant digits.

(d)

Interpretation Introduction

Interpretation:

For the given set of numbers, the number of significant figures must be given.

Concept Introduction :

Significant figures are those digits that having a meaning in the given number.

Calculation rule for the significant figure: -

1. It is a non-zero number.
2. The zeroes lie between the two non-zero digits are significant figure.
3. Zero lie before the non-zero number is not the significant number.
4. Zero lies after the non-zero number is the significant figure only in that case when number contains decimal point.
5. The zero lies after the non-zero number may or may not be a significant number in that case, where the number does not have a decimal point.
6. The placement of decimal at the trailing zero indicates the zero is significant.

Answer to Problem 71A

The significant figure is two.

Explanation of Solution

The given number is 310 million. So, according to the significant calculation rule, the zeroes lie after the non-zero number is not a significant number in that case, where the number does not have a decimal point. Therefore, the given number has two significant digits.

(e)

Interpretation Introduction

Interpretation:

For the given set of numbers, the number of significant figures must be given.

Concept Introduction :

Significant figures are those digits that having a meaning in the given number.

Calculation rule for the significant figure: -

1. It is a non-zero number.
2. The zeroes lie between the two non-zero digits are significant figure.
3. Zero lie before the non-zero number is not the significant number.
4. Zero lies after the non-zero number is the significant figure only in that case when number contains decimal point.
5. The zero lies after the non-zero number may or may not be a significant number in that case, where the number does not have a decimal point.
6. The placement of decimal at the trailing zero indicates the zero is significant.

Answer to Problem 71A

The significant digit is1.

Explanation of Solution

The given number is 1000g. So, according to the significant calculation rule, the zeroes lie after the non-zero number is not a significant number in that case, where the number does not have a decimal point. Therefore, it has only one significant digit.

(f)

Interpretation Introduction

Interpretation:

For the given set of numbers, the number of significant figures must be given.

Concept Introduction:

Significant figures are those digits that having a meaning in the given number.

Calculation rule for the significant figure: -

1. It is a non-zero number.
2. The zeroes lie between the two non-zero digits are significant figure.
3. Zero lie before the non-zero number is not the significant number.
4. Zero lies after the non-zero number is the significant figure only in that case when number contains decimal point.
5. The zero lies after the non-zero number may or may not be a significant number in that case, where the number does not have a decimal point.
6. The placement of decimal at the trailing zero indicates the zero is significant.

Answer to Problem 71A

The significant digit is one.

Explanation of Solution

The given number is $6\text{00 m/h}$ . So, according to the significant calculation rule, the zeroes lie after the non-zero number is not a significant number in that case, where the number does not have a decimal point. Therefore the given number has only one significant number.