(a) Interpretation: The number of significant digits in the answer should be determined by evaluating the given expression. ( 0.0432 ) ( 2.909 ) ( 4.43 × 10 8 ) . Concept Introduction: During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy. Decimal place is the position of digit right to the decimal point. In division and multiplication, the calculated values are always rounded up to minimum number of significant figures. Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations. Rules for rounding off numbers are as follows: If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up. If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 2, Problem 139AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.0432)(2.909)(4.43×108).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

0.557×108.

Explanation of Solution

The expression is (0.0432)(2.909)(4.43×108). By calculating it we get, 0.556712784×108

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 4.43×108 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 0.557×108.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.8922)/[(0.00932)(4.03×102)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

23.74×10−2.

Explanation of Solution

The given expression is (0.8922)/[(0.00932)(4.03×102)]. By calculating it we get, 23.7542465×10−2

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 0.8922 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 23.74×10−2.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(3.923×102)(2.94)(4.093×10−3)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

47.2×10−1.

Explanation of Solution

The given expression is (3.923×102)(2.94)(4.093×10−3). By calculating it we get, 47.20710666×10−1

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.94 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 47.2×10−1.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(4.9211)(0.04434)/[(0.000934)(2.892×10−7)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

80.78×107.

Explanation of Solution

The given expression is (4.9211)(0.04434)/[(0.000934)(2.892×10−7)]. By calculating it we get, 80.78164899997334×107

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.892×10−7 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 80.78×107.

Want to see more full solutions like this?

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

Students have asked these similar questions

These are in the wrong boxes. Why does the one on the left have a lower molar mass than the one on the right?

SYNTHESIS REACTIONS. For the following reactions, synthesize the given products from the given reactants. Multiple reactions/steps will be needed. For the one of the steps (ie reactions) in each synthesis, write out the mechanism for that reaction and draw an energy diagram showing the correct number of hills and valleys for that step's mechanism. CI b. a. Use acetylene (ethyne) and any alkyl halide as your starting materials Br C. d. "OH OH III. OH

Calculate the pH and the pOH of each of the following solutions at 25 °C for which the substances ionize completely: (a) 0.200 M HCl

Answer 2

Question

Chapter 2, Problem 139AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.0432)(2.909)(4.43×108).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

0.557×108.

Explanation of Solution

The expression is (0.0432)(2.909)(4.43×108). By calculating it we get, 0.556712784×108

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 4.43×108 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 0.557×108.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.8922)/[(0.00932)(4.03×102)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

23.74×10−2.

Explanation of Solution

The given expression is (0.8922)/[(0.00932)(4.03×102)]. By calculating it we get, 23.7542465×10−2

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 0.8922 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 23.74×10−2.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(3.923×102)(2.94)(4.093×10−3)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

47.2×10−1.

Explanation of Solution

The given expression is (3.923×102)(2.94)(4.093×10−3). By calculating it we get, 47.20710666×10−1

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.94 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 47.2×10−1.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(4.9211)(0.04434)/[(0.000934)(2.892×10−7)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

80.78×107.

Explanation of Solution

The given expression is (4.9211)(0.04434)/[(0.000934)(2.892×10−7)]. By calculating it we get, 80.78164899997334×107

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.892×10−7 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 80.78×107.

Want to see more full solutions like this?

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

Answer 3

Question

Chapter 2, Problem 139AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.0432)(2.909)(4.43×108).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

0.557×108.

Explanation of Solution

The expression is (0.0432)(2.909)(4.43×108). By calculating it we get, 0.556712784×108

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 4.43×108 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 0.557×108.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.8922)/[(0.00932)(4.03×102)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

23.74×10−2.

Explanation of Solution

The given expression is (0.8922)/[(0.00932)(4.03×102)]. By calculating it we get, 23.7542465×10−2

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 0.8922 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 23.74×10−2.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(3.923×102)(2.94)(4.093×10−3)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

47.2×10−1.

Explanation of Solution

The given expression is (3.923×102)(2.94)(4.093×10−3). By calculating it we get, 47.20710666×10−1

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.94 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 47.2×10−1.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(4.9211)(0.04434)/[(0.000934)(2.892×10−7)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

80.78×107.

Explanation of Solution

The given expression is (4.9211)(0.04434)/[(0.000934)(2.892×10−7)]. By calculating it we get, 80.78164899997334×107

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.892×10−7 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 80.78×107.

Want to see more full solutions like this?

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

Answer 4

Question

Chapter 2, Problem 139AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.0432)(2.909)(4.43×108).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

0.557×108.

Explanation of Solution

The expression is (0.0432)(2.909)(4.43×108). By calculating it we get, 0.556712784×108

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 4.43×108 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 0.557×108.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.8922)/[(0.00932)(4.03×102)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

23.74×10−2.

Explanation of Solution

The given expression is (0.8922)/[(0.00932)(4.03×102)]. By calculating it we get, 23.7542465×10−2

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 0.8922 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 23.74×10−2.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(3.923×102)(2.94)(4.093×10−3)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

47.2×10−1.

Explanation of Solution

The given expression is (3.923×102)(2.94)(4.093×10−3). By calculating it we get, 47.20710666×10−1

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.94 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 47.2×10−1.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(4.9211)(0.04434)/[(0.000934)(2.892×10−7)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

80.78×107.

Explanation of Solution

The given expression is (4.9211)(0.04434)/[(0.000934)(2.892×10−7)]. By calculating it we get, 80.78164899997334×107

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.892×10−7 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 80.78×107.

Want to see more full solutions like this?

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

Answer 5

Chapter 2, Problem 139AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.0432)(2.909)(4.43×108).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

0.557×108.

Explanation of Solution

The expression is (0.0432)(2.909)(4.43×108). By calculating it we get, 0.556712784×108

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 4.43×108 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 0.557×108.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.8922)/[(0.00932)(4.03×102)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

23.74×10−2.

Explanation of Solution

The given expression is (0.8922)/[(0.00932)(4.03×102)]. By calculating it we get, 23.7542465×10−2

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 0.8922 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 23.74×10−2.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(3.923×102)(2.94)(4.093×10−3)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

47.2×10−1.

Explanation of Solution

The given expression is (3.923×102)(2.94)(4.093×10−3). By calculating it we get, 47.20710666×10−1

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.94 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 47.2×10−1.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(4.9211)(0.04434)/[(0.000934)(2.892×10−7)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

80.78×107.

Explanation of Solution

The given expression is (4.9211)(0.04434)/[(0.000934)(2.892×10−7)]. By calculating it we get, 80.78164899997334×107

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.892×10−7 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 80.78×107.

Answer 6

Chapter 2, Problem 139AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.0432)(2.909)(4.43×108).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

0.557×108.

Explanation of Solution

The expression is (0.0432)(2.909)(4.43×108). By calculating it we get, 0.556712784×108

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 4.43×108 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 0.557×108.

Answer 7

Chapter 2, Problem 139AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.0432)(2.909)(4.43×108).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 8

Expert Solution

Answer to Problem 139AP

0.557×108.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The expression is (0.0432)(2.909)(4.43×108). By calculating it we get, 0.556712784×108

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 4.43×108 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 0.557×108.

Answer 13

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.8922)/[(0.00932)(4.03×102)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

23.74×10−2.

Explanation of Solution

The given expression is (0.8922)/[(0.00932)(4.03×102)]. By calculating it we get, 23.7542465×10−2

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 0.8922 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 23.74×10−2.

Answer 14

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(0.8922)/[(0.00932)(4.03×102)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 15

Expert Solution

Answer to Problem 139AP

23.74×10−2.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The given expression is (0.8922)/[(0.00932)(4.03×102)]. By calculating it we get, 23.7542465×10−2

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 0.8922 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 23.74×10−2.

Answer 20

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(3.923×102)(2.94)(4.093×10−3)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

47.2×10−1.

Explanation of Solution

The given expression is (3.923×102)(2.94)(4.093×10−3). By calculating it we get, 47.20710666×10−1

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.94 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 47.2×10−1.

Answer 21

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(3.923×102)(2.94)(4.093×10−3)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 22

Expert Solution

Answer to Problem 139AP

47.2×10−1.

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The given expression is (3.923×102)(2.94)(4.093×10−3). By calculating it we get, 47.20710666×10−1

In multiplication, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.94 thus, minimum number of significant figure is 3, thus, final answer should be rounded off up to three significant figures which is equal to 47.2×10−1.

Answer 27

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(4.9211)(0.04434)/[(0.000934)(2.892×10−7)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution

Answer to Problem 139AP

80.78×107.

Explanation of Solution

The given expression is (4.9211)(0.04434)/[(0.000934)(2.892×10−7)]. By calculating it we get, 80.78164899997334×107

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.892×10−7 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 80.78×107.

Answer 28

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(4.9211)(0.04434)/[(0.000934)(2.892×10−7)]

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 29

Expert Solution

Answer to Problem 139AP

80.78×107.

Answer 30

Expert Solution

Answer 31

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

The given expression is (4.9211)(0.04434)/[(0.000934)(2.892×10−7)]. By calculating it we get, 80.78164899997334×107

In multiplication and division, the number of significant figures in final answer should be equal to the minimum number of significant figures in the calculation. The number with minimum number of significant figure is 2.892×10−7 thus, minimum number of significant figure is 4, thus, final answer should be rounded off up to four significant figures which is equal to 80.78×107.