(a) Interpretation: The number 1.2735 should be rounded off to two significant figures. Concept Introduction: Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows: Non-zero digits are considered as significant figures. (1 to 9) Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.) Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.) On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.) On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.) The rules for rounding off numbers are as follows: If the figure after the decimal is less than 5, then the digit remains unchanged. If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place. If the figure after the decimal is even, then the digit remains unchanged. If the figure after the decimal is odd, then 1 is added to the tenths place.

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Answer 1

Question

Chapter 1.5, Problem 1.13P

Interpretation Introduction

(a)

Interpretation:

The number 1.2735 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(b)

Interpretation:

The number 0.00253622 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(c)

Interpretation:

The number 3,836.9 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

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Answer 2

Question

Chapter 1.5, Problem 1.13P

Interpretation Introduction

(a)

Interpretation:

The number 1.2735 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(b)

Interpretation:

The number 0.00253622 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(c)

Interpretation:

The number 3,836.9 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

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Answer 3

Question

Chapter 1.5, Problem 1.13P

Interpretation Introduction

(a)

Interpretation:

The number 1.2735 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(b)

Interpretation:

The number 0.00253622 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(c)

Interpretation:

The number 3,836.9 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

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Answer 4

Question

Chapter 1.5, Problem 1.13P

Interpretation Introduction

(a)

Interpretation:

The number 1.2735 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(b)

Interpretation:

The number 0.00253622 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(c)

Interpretation:

The number 3,836.9 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

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Answer 5

Chapter 1.5, Problem 1.13P

Interpretation Introduction

(a)

Interpretation:

The number 1.2735 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(b)

Interpretation:

The number 0.00253622 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Interpretation Introduction

(c)

Interpretation:

The number 3,836.9 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Answer 6

Chapter 1.5, Problem 1.13P

Interpretation Introduction

(a)

Interpretation:

The number 1.2735 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Answer 7

Chapter 1.5, Problem 1.13P

Interpretation Introduction

(a)

Interpretation:

The number 1.2735 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The number 0.00253622 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The number 0.00253622 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Answer 10

Interpretation Introduction

(c)

Interpretation:

The number 3,836.9 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Answer 11

Interpretation Introduction

(c)

Interpretation:

The number 3,836.9 should be rounded off to two significant figures.

Concept Introduction:

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)

The rules for rounding off numbers are as follows:

If the figure after the decimal is less than 5, then the digit remains unchanged.

If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.

If the figure after the decimal is even, then the digit remains unchanged.

If the figure after the decimal is odd, then 1 is added to the tenths place.

Answer 12

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Answer 13

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Answer 14

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Answer 15

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Solution Summary: The author explains that significant figures are used to express the degree of accuracy of an answer.

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