Carry out the following operations as if they were calculations of experimental results, and express each answer in the correct units with the correct number of significant figures: (a) 5.6792 m + o.6 m + 4.33 m (b) 3.70 g − 2.9133 g (c) 4.51 cm × 3.6666 cm (d) (3 × 10 4 g + 6.827 g)/(0.043 cm 3 − 0.021 cm 3 )

Question

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Answer 1

Textbook Question

Chapter 1, Problem 1.35QP

Carry out the following operations as if they were calculations of experimental results, and express each answer in the correct units with the correct number of significant figures:

(a) 5.6792 m + o.6 m + 4.33 m
(b) 3.70 g − 2.9133 g
(c) 4.51 cm × 3.6666 cm
(d) (3 × 10⁴ g + 6.827 g)/(0.043 cm³ − 0.021 cm³)

(a)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

5.6792 m + 0.6 m + 4.33 m = ?

All the given terms are in same unit so conversions of units are not required. This addition operation can be done as follows,

5.6792 m + 0.6 m 4.33 m _10.6092 m

The answer with correct unit with the correct number of significant figures is 10.6092 m

(b)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

3.70 g − 2.9133 g = ?

All the given terms are in same unit so conversions of units are not required. This subtraction operation can be done as follows,

3.70 g −2.9133 g_0.7867 g

The answer with correct unit with the correct number of significant figures is 0.79 g

(c)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

4.51 cm × 3.6666 cm = ?

All the given terms are in same unit so conversions of units are not required. This multiplication operation can be done as follows,

4.51 cm ×3.6666 cm _16.53 cm2

The answer with correct unit with the correct number of significant figures is 16.5 cm2

(d)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

(3 × 104 g + 6.827 g) / (0.043 cm3 − 0.021 cm3) = ?

This division operation can be done as follows,

(3 × 104 g + 6.827 g) (0.043 cm3 − 0.021 cm3) = 1363946.68 = 1.3 × 106 g /cm3

The answer with correct unit with the correct number of significant figures is 1.3 × 106 g /cm3

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Answer 2

Textbook Question

Chapter 1, Problem 1.35QP

Carry out the following operations as if they were calculations of experimental results, and express each answer in the correct units with the correct number of significant figures:

(a) 5.6792 m + o.6 m + 4.33 m
(b) 3.70 g − 2.9133 g
(c) 4.51 cm × 3.6666 cm
(d) (3 × 10⁴ g + 6.827 g)/(0.043 cm³ − 0.021 cm³)

(a)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

5.6792 m + 0.6 m + 4.33 m = ?

All the given terms are in same unit so conversions of units are not required. This addition operation can be done as follows,

5.6792 m + 0.6 m 4.33 m _10.6092 m

The answer with correct unit with the correct number of significant figures is 10.6092 m

(b)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

3.70 g − 2.9133 g = ?

All the given terms are in same unit so conversions of units are not required. This subtraction operation can be done as follows,

3.70 g −2.9133 g_0.7867 g

The answer with correct unit with the correct number of significant figures is 0.79 g

(c)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

4.51 cm × 3.6666 cm = ?

All the given terms are in same unit so conversions of units are not required. This multiplication operation can be done as follows,

4.51 cm ×3.6666 cm _16.53 cm2

The answer with correct unit with the correct number of significant figures is 16.5 cm2

(d)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

(3 × 104 g + 6.827 g) / (0.043 cm3 − 0.021 cm3) = ?

This division operation can be done as follows,

(3 × 104 g + 6.827 g) (0.043 cm3 − 0.021 cm3) = 1363946.68 = 1.3 × 106 g /cm3

The answer with correct unit with the correct number of significant figures is 1.3 × 106 g /cm3

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Answer 3

Textbook Question

Chapter 1, Problem 1.35QP

Carry out the following operations as if they were calculations of experimental results, and express each answer in the correct units with the correct number of significant figures:

(a) 5.6792 m + o.6 m + 4.33 m
(b) 3.70 g − 2.9133 g
(c) 4.51 cm × 3.6666 cm
(d) (3 × 10⁴ g + 6.827 g)/(0.043 cm³ − 0.021 cm³)

(a)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

5.6792 m + 0.6 m + 4.33 m = ?

All the given terms are in same unit so conversions of units are not required. This addition operation can be done as follows,

5.6792 m + 0.6 m 4.33 m _10.6092 m

The answer with correct unit with the correct number of significant figures is 10.6092 m

(b)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

3.70 g − 2.9133 g = ?

All the given terms are in same unit so conversions of units are not required. This subtraction operation can be done as follows,

3.70 g −2.9133 g_0.7867 g

The answer with correct unit with the correct number of significant figures is 0.79 g

(c)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

4.51 cm × 3.6666 cm = ?

All the given terms are in same unit so conversions of units are not required. This multiplication operation can be done as follows,

4.51 cm ×3.6666 cm _16.53 cm2

The answer with correct unit with the correct number of significant figures is 16.5 cm2

(d)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

(3 × 104 g + 6.827 g) / (0.043 cm3 − 0.021 cm3) = ?

This division operation can be done as follows,

(3 × 104 g + 6.827 g) (0.043 cm3 − 0.021 cm3) = 1363946.68 = 1.3 × 106 g /cm3

The answer with correct unit with the correct number of significant figures is 1.3 × 106 g /cm3

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 1, Problem 1.35QP

Carry out the following operations as if they were calculations of experimental results, and express each answer in the correct units with the correct number of significant figures:

(a) 5.6792 m + o.6 m + 4.33 m
(b) 3.70 g − 2.9133 g
(c) 4.51 cm × 3.6666 cm
(d) (3 × 10⁴ g + 6.827 g)/(0.043 cm³ − 0.021 cm³)

(a)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

5.6792 m + 0.6 m + 4.33 m = ?

All the given terms are in same unit so conversions of units are not required. This addition operation can be done as follows,

5.6792 m + 0.6 m 4.33 m _10.6092 m

The answer with correct unit with the correct number of significant figures is 10.6092 m

(b)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

3.70 g − 2.9133 g = ?

All the given terms are in same unit so conversions of units are not required. This subtraction operation can be done as follows,

3.70 g −2.9133 g_0.7867 g

The answer with correct unit with the correct number of significant figures is 0.79 g

(c)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

4.51 cm × 3.6666 cm = ?

All the given terms are in same unit so conversions of units are not required. This multiplication operation can be done as follows,

4.51 cm ×3.6666 cm _16.53 cm2

The answer with correct unit with the correct number of significant figures is 16.5 cm2

(d)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

(3 × 104 g + 6.827 g) / (0.043 cm3 − 0.021 cm3) = ?

This division operation can be done as follows,

(3 × 104 g + 6.827 g) (0.043 cm3 − 0.021 cm3) = 1363946.68 = 1.3 × 106 g /cm3

The answer with correct unit with the correct number of significant figures is 1.3 × 106 g /cm3

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

5.6792 m + 0.6 m + 4.33 m = ?

All the given terms are in same unit so conversions of units are not required. This addition operation can be done as follows,

5.6792 m + 0.6 m 4.33 m _10.6092 m

The answer with correct unit with the correct number of significant figures is 10.6092 m

(b)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

3.70 g − 2.9133 g = ?

All the given terms are in same unit so conversions of units are not required. This subtraction operation can be done as follows,

3.70 g −2.9133 g_0.7867 g

The answer with correct unit with the correct number of significant figures is 0.79 g

(c)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

4.51 cm × 3.6666 cm = ?

All the given terms are in same unit so conversions of units are not required. This multiplication operation can be done as follows,

4.51 cm ×3.6666 cm _16.53 cm2

The answer with correct unit with the correct number of significant figures is 16.5 cm2

(d)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

(3 × 104 g + 6.827 g) / (0.043 cm3 − 0.021 cm3) = ?

This division operation can be done as follows,

(3 × 104 g + 6.827 g) (0.043 cm3 − 0.021 cm3) = 1363946.68 = 1.3 × 106 g /cm3

The answer with correct unit with the correct number of significant figures is 1.3 × 106 g /cm3

Answer 8

(a)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

5.6792 m + 0.6 m + 4.33 m = ?

All the given terms are in same unit so conversions of units are not required. This addition operation can be done as follows,

5.6792 m + 0.6 m 4.33 m _10.6092 m

The answer with correct unit with the correct number of significant figures is 10.6092 m

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Answer 13

Explanation of Solution

Given,

5.6792 m + 0.6 m + 4.33 m = ?

All the given terms are in same unit so conversions of units are not required. This addition operation can be done as follows,

5.6792 m + 0.6 m 4.33 m _10.6092 m

The answer with correct unit with the correct number of significant figures is 10.6092 m

Answer 14

(b)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

3.70 g − 2.9133 g = ?

All the given terms are in same unit so conversions of units are not required. This subtraction operation can be done as follows,

3.70 g −2.9133 g_0.7867 g

The answer with correct unit with the correct number of significant figures is 0.79 g

Answer 15

(b)

Expert Solution

Answer 16

(b)

Expert Solution

Answer 17

Expert Solution

Answer 18

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Answer 19

Explanation of Solution

Given,

3.70 g − 2.9133 g = ?

All the given terms are in same unit so conversions of units are not required. This subtraction operation can be done as follows,

3.70 g −2.9133 g_0.7867 g

The answer with correct unit with the correct number of significant figures is 0.79 g

Answer 20

(c)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

4.51 cm × 3.6666 cm = ?

All the given terms are in same unit so conversions of units are not required. This multiplication operation can be done as follows,

4.51 cm ×3.6666 cm _16.53 cm2

The answer with correct unit with the correct number of significant figures is 16.5 cm2

Answer 21

(c)

Expert Solution

Answer 22

(c)

Expert Solution

Answer 23

Expert Solution

Answer 24

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Answer 25

Explanation of Solution

Given,

4.51 cm × 3.6666 cm = ?

All the given terms are in same unit so conversions of units are not required. This multiplication operation can be done as follows,

4.51 cm ×3.6666 cm _16.53 cm2

The answer with correct unit with the correct number of significant figures is 16.5 cm2

Answer 26

(d)

Expert Solution

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Explanation of Solution

Given,

(3 × 104 g + 6.827 g) / (0.043 cm3 − 0.021 cm3) = ?

This division operation can be done as follows,

(3 × 104 g + 6.827 g) (0.043 cm3 − 0.021 cm3) = 1363946.68 = 1.3 × 106 g /cm3

The answer with correct unit with the correct number of significant figures is 1.3 × 106 g /cm3

Answer 27

(d)

Expert Solution

Answer 28

(d)

Expert Solution

Answer 29

Expert Solution

Answer 30

Interpretation Introduction

Interpretation:

The given mathematical operation has to be done in right way and the answer should be written in correct unit with the correct number of significant figures.

Concept Introduction:

Significant figures are all the digits in a measurement that are known with certainty.

Rules for significant digits

Digits from 1 to 9 are always significant
Zeros between two other significant digits are always significant.
One or more additional zeroes to the right of both the decimal place and other significant digits are significant.
Zeroes used solely for spacing the decimal point are not significant.

Rules for rounding off numbers

If the digits to the immediate right of the last significant figure are less than five do not change.

Example: 2.532 → 2.53

If the digit to the immediate right of the last significant figures is greater than five, round up the last significant figures.

Example: 2.536 → 2.54

Answer 31

Explanation of Solution

Given,

(3 × 104 g + 6.827 g) / (0.043 cm3 − 0.021 cm3) = ?

This division operation can be done as follows,

(3 × 104 g + 6.827 g) (0.043 cm3 − 0.021 cm3) = 1363946.68 = 1.3 × 106 g /cm3

The answer with correct unit with the correct number of significant figures is 1.3 × 106 g /cm3

Answer 32

Ch. 1.3 - Which of the following statements is true? (a) A...Ch. 1.4 - Which of the following diagrams represent elements...Ch. 1.5 - An ice cube is placed in a closed container. On...Ch. 1.6 - The diagram in (a) shows a compound made up of...Ch. 1.7 - A piece of platinum metal with a density of 21.5...Ch. 1.7 - The density of sulfuric acid in a certain car...Ch. 1.7 - Convert (a) 327.5C (the melting point of lead) to...Ch. 1.7 - The density of copper is 8.94 g/cm3 at 20C and...Ch. 1.8 - Determine the number of significant figures in...Ch. 1.8 - Carry out the following arithmetic operations and...

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