(a) Interpretation: The number 25,401 needs to be rounded off up to 3 significant figures. Concept Introduction: The rules to determine the significant figures in a number are as follows: Digits which are non-zero are always significant. Between two significant digits, if there is any non-zero digit present then it is significant. The trailing zeroes or final zero within the decimal portion are only significant.

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Answer 1

Question

Chapter 1, Problem 1.51P

Interpretation Introduction

(a)

Interpretation:

The number 25,401 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(b)

Interpretation:

The number 1,248,486 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(c)

Interpretation:

The number 0.001265982 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(d)

Interpretation:

The number 0.123456 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(e)

Interpretation:

The number 195.371 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(f)

Interpretation:

The number 196.814 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

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Answer 2

Question

Chapter 1, Problem 1.51P

Interpretation Introduction

(a)

Interpretation:

The number 25,401 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(b)

Interpretation:

The number 1,248,486 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(c)

Interpretation:

The number 0.001265982 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(d)

Interpretation:

The number 0.123456 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(e)

Interpretation:

The number 195.371 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(f)

Interpretation:

The number 196.814 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

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Answer 3

Question

Chapter 1, Problem 1.51P

Interpretation Introduction

(a)

Interpretation:

The number 25,401 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(b)

Interpretation:

The number 1,248,486 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(c)

Interpretation:

The number 0.001265982 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(d)

Interpretation:

The number 0.123456 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(e)

Interpretation:

The number 195.371 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(f)

Interpretation:

The number 196.814 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

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Answer 4

Question

Chapter 1, Problem 1.51P

Interpretation Introduction

(a)

Interpretation:

The number 25,401 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(b)

Interpretation:

The number 1,248,486 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(c)

Interpretation:

The number 0.001265982 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(d)

Interpretation:

The number 0.123456 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(e)

Interpretation:

The number 195.371 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(f)

Interpretation:

The number 196.814 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

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Answer 5

Chapter 1, Problem 1.51P

Interpretation Introduction

(a)

Interpretation:

The number 25,401 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(b)

Interpretation:

The number 1,248,486 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(c)

Interpretation:

The number 0.001265982 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(d)

Interpretation:

The number 0.123456 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(e)

Interpretation:

The number 195.371 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Interpretation Introduction

(f)

Interpretation:

The number 196.814 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 6

Chapter 1, Problem 1.51P

Interpretation Introduction

(a)

Interpretation:

The number 25,401 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 7

Chapter 1, Problem 1.51P

Interpretation Introduction

(a)

Interpretation:

The number 25,401 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The number 1,248,486 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The number 1,248,486 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 10

Interpretation Introduction

(c)

Interpretation:

The number 0.001265982 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 11

Interpretation Introduction

(c)

Interpretation:

The number 0.001265982 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 12

Interpretation Introduction

(d)

Interpretation:

The number 0.123456 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 13

Interpretation Introduction

(d)

Interpretation:

The number 0.123456 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 14

Interpretation Introduction

(e)

Interpretation:

The number 195.371 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 15

Interpretation Introduction

(e)

Interpretation:

The number 195.371 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 16

Interpretation Introduction

(f)

Interpretation:

The number 196.814 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 17

Interpretation Introduction

(f)

Interpretation:

The number 196.814 needs to be rounded off up to 3 significant figures.

Concept Introduction:

The rules to determine the significant figures in a number are as follows:

Digits which are non-zero are always significant.

Between two significant digits, if there is any non-zero digit present then it is significant.

The trailing zeroes or final zero within the decimal portion are only significant.

Answer 18

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Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

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Solution Summary: The author explains the rules to determine the significant figures in a number: Digits which are non-zero are always significant, trailing zeroes or final zero within the decimal portion are only significant.

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