Principles of General Chemistry
Principles of General Chemistry
3rd Edition
ISBN: 9780073402697
Author: SILBERBERG, Martin S.
Publisher: McGraw-Hill College
Question
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Chapter 1, Problem 1.45P

a)

Interpretation Introduction

Interpretation: The significant zeroes in 5.08 should be underlined.

Concept introduction: Significant figures refer to each digit in any number that is used to write specific number to desired accuracy. These figures include all non-zero digits available in number system. More the number of significant figures, higher will be the accuracy and certainty in measurement of particular number. Generally, all non-zero digits are considered as significant. But zero also becomes significant in some situations.

Below mentioned are some rules that account for consideration of zero as significant or non-significant figure.

1. Zeroes become significant figure when it occurs between two non-zero significant figures. For example, zero present in 609 is significant as both 6 and 9 are non-zero significant figures.

2. Zeroes that occur before every non-zero digits can never be significant. For example, zeroes in 00005 are non-significant.

3. If number has no decimal points in it, zeroes after non-zero digits become non-significant. For example, zeroes in 560000 are non-significant.

4. If number has decimal points in it, zeroes after non-zero digits become significant. For example, zeroes in 5600.46 are significant.

5. If number has decimal points in it and all zeroes come after decimal, all of these become significant. For example, zeroes in 56.000 are significant.

b)

Interpretation Introduction

Interpretation: The significant zeroes in 508 should be underlined.

Concept introduction: Significant figures refer to each digit in any number that is used to write specific number to desired accuracy. These figures include all non-zero digits available in number system. More the number of significant figures, higher will be the accuracy and certainty in measurement of particular number. Generally, all non-zero digits are considered as significant. But zero also becomes significant in some situations.

Below mentioned are some rules that account for consideration of zero as significant or non-significant figure.

1. Zeroes become significant figure when it occurs between two non-zero significant figures. For example, zero present in 609 is significant as both 6 and 9 are non-zero significant figures.

2. Zeroes that occur before every non-zero digits can never be significant. For example, zeroes in 00005 are non-significant.

3. If number has no decimal points in it, zeroes after non-zero digits become non-significant. For example, zeroes in 560000 are non-significant.

4. If number has decimal points in it, zeroes after non-zero digits become significant. For example, zeroes in 5600.46 are significant.

5. If number has decimal points in it and all zeroes come after decimal, all of these become significant. For example, zeroes in 56.000 are significant.

c)

Interpretation Introduction

Interpretation: The significant zeroes in 5.080×103 should be underlined.

Concept introduction: Significant figures refer to each digit in any number that is used to write specific number to desired accuracy. These figures include all non-zero digits available in number system. More the number of significant figures, higher will be the accuracy and certainty in measurement of particular number. Generally, all non-zero digits are considered as significant. But zero also becomes significant in some situations.

Below mentioned are some rules that account for consideration of zero as significant or non-significant figure.

1. Zeroes become significant figure when it occurs between two non-zero significant figures. For example, zero present in 609 is significant as both 6 and 9 are non-zero significant figures.

2. Zeroes that occur before every non-zero digits can never be significant. For example, zeroes in 00005 are non-significant.

3. If number has no decimal points in it, zeroes after non-zero digits become non-significant. For example, zeroes in 560000 are non-significant.

4. If number has decimal points in it, zeroes after non-zero digits become significant. For example, zeroes in 5600.46 are significant.

5. If number has decimal points in it and all zeroes come after decimal, all of these become significant. For example, zeroes in 56.000 are significant.

d)

Interpretation Introduction

Interpretation: The significant zeroes in 0.05080 should be underlined.

Concept introduction: Significant figures refer to each digit in any number that is used to write specific number to desired accuracy. These figures include all non-zero digits available in number system. More the number of significant figures, higher will be the accuracy and certainty in measurement of particular number. Generally, all non-zero digits are considered as significant. But zero also becomes significant in some situations.

Below mentioned are some rules that account for consideration of zero as significant or non-significant figure.

1. Zeroes become significant figure when it occurs between two non-zero significant figures. For example, zero present in 609 is significant as both 6 and 9 are non-zero significant figures.

2. Zeroes that occur before every non-zero digits can never be significant. For example, zeroes in 00005 are non-significant.

3. If number has no decimal points in it, zeroes after non-zero digits become non-significant. For example, zeroes in 560000 are non-significant.

4. If number has decimal points in it, zeroes after non-zero digits become significant. For example, zeroes in 5600.46 are significant.

5. If number has decimal points in it and all zeroes come after decimal, all of these become significant. For example, zeroes in 56.000 are significant.

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Students have asked these similar questions
Underline the significant zeros in the following numbers:(a) 0.41     (b) 0.041     (c) 0.0410     (d) 4.0100×104
Express the results of the following multiplications and divisions to the proper number of significant figures. All of the numbers are measured quantities. (a) 129.587 × 32.33 = 4.7791 (b) 3.21 × 5.793 10566.9 (c) 3.584 × 1029 (d) (5.247 × 10'3) × (1.3 × 10-17) =
How many significant figures are there in each of the following?(a) 81.0 ± 0.8  (b) 3.827 ✕ 109 (c) 2.94 ✕ 10−6 (d) 0.0015

Chapter 1 Solutions

Principles of General Chemistry

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