(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 37P

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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Students have asked these similar questions

Round each number to three significant figures. 25,401 1,248,486 0.001265982 0.123456 195.371 196.814

How many significant figures does each number contain? 16.00 160 0.00160 1,600,000 1.06 0.1600 1.060x1010 1.6x10-6

56. Round the number on the left to the number of significant figures indicated by the example in the first row. (Use scientific notation as needed to avoid ambiguity.) Rounded to 4 Rounded to 2 Rounded to 1 Significant Figures Significant Figures Significant Figure Number 9 × 101 94.52118 94.52 95 105.4545 0.455981 0.009999991

Answer 2

Question

Chapter 1, Problem 37P

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 37P

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 37P

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 37P

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 37P

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 37P

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

Ch. 1.1 - Prob. 1.1P Ch. 1.2 - Characterize each process as a physical change or...Ch. 1.2 - Does the molecular art represent a chemical change...Ch. 1.3 - Classify each example of molecular art as a pure...Ch. 1.3 - (a) Which representation(s) of molecular art...Ch. 1.3 - Classify each item as a pure substance or a...Ch. 1.3 - Classify each item as an element or a compound:...Ch. 1.4 - What term is used for each of the following units:...Ch. 1.4 - If a nanometer is one-billionth of a meter...Ch. 1.4 - Prob. 1.8P

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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