(a) Interpretation: The given number should be rounded off to three significant digits. 0.00042557 Concept Introduction: 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. For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40. If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down. For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Question

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Answer 1

Question

Chapter 2, Problem 136AP

Interpretation Introduction

(a)

Interpretation:

The given number should be rounded off to three significant digits.

0.00042557

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(b)

Interpretation:

The given number should be rounded off to three significant digits.

4.0235×10−5

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(c)

Interpretation:

The given number should be rounded off to three significant digits.

5, 991, 556

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

399.85

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

0.0059998

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

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Students have asked these similar questions

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

Write each of the following numbers as “ordinary” decimal numbers. 6.244 x 10^3 9.117 x 10^-2 8.299 x 10^1 1.771 x 10^-4 5.451 x 10^2 2.934 x 10^-5

In which of the following numbers are all the zeroes significant? 104.040 1040 0.1480 200 0.08090

Answer 2

Question

Chapter 2, Problem 136AP

Interpretation Introduction

(a)

Interpretation:

The given number should be rounded off to three significant digits.

0.00042557

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(b)

Interpretation:

The given number should be rounded off to three significant digits.

4.0235×10−5

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(c)

Interpretation:

The given number should be rounded off to three significant digits.

5, 991, 556

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

399.85

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

0.0059998

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 2, Problem 136AP

Interpretation Introduction

(a)

Interpretation:

The given number should be rounded off to three significant digits.

0.00042557

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(b)

Interpretation:

The given number should be rounded off to three significant digits.

4.0235×10−5

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(c)

Interpretation:

The given number should be rounded off to three significant digits.

5, 991, 556

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

399.85

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

0.0059998

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2, Problem 136AP

Interpretation Introduction

(a)

Interpretation:

The given number should be rounded off to three significant digits.

0.00042557

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(b)

Interpretation:

The given number should be rounded off to three significant digits.

4.0235×10−5

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(c)

Interpretation:

The given number should be rounded off to three significant digits.

5, 991, 556

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

399.85

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

0.0059998

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 2, Problem 136AP

Interpretation Introduction

(a)

Interpretation:

The given number should be rounded off to three significant digits.

0.00042557

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(b)

Interpretation:

The given number should be rounded off to three significant digits.

4.0235×10−5

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(c)

Interpretation:

The given number should be rounded off to three significant digits.

5, 991, 556

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

399.85

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

0.0059998

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 6

Chapter 2, Problem 136AP

Interpretation Introduction

(a)

Interpretation:

The given number should be rounded off to three significant digits.

0.00042557

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 7

Chapter 2, Problem 136AP

Interpretation Introduction

(a)

Interpretation:

The given number should be rounded off to three significant digits.

0.00042557

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The given number should be rounded off to three significant digits.

4.0235×10−5

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The given number should be rounded off to three significant digits.

4.0235×10−5

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 10

Interpretation Introduction

(c)

Interpretation:

The given number should be rounded off to three significant digits.

5, 991, 556

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 11

Interpretation Introduction

(c)

Interpretation:

The given number should be rounded off to three significant digits.

5, 991, 556

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 12

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

399.85

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 13

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

399.85

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 14

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

0.0059998

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 15

Interpretation Introduction

(d)

Interpretation:

The given number should be rounded off to three significant digits.

0.0059998

Concept Introduction:

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.

For example: Rounding off number 38, the number is followed by digit 8 which is greater than 5 thus; the number will be rounded up to the nearest ten that is 40.

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

For example: Rounding off number 33, the number is followed by digit 3 which is less than 5 thus; the number will be rounded down to the nearest ten that is 30.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Check out a sample textbook solution

See solution

Answer 19

Ch. 2.1 - Exercise 2.1 Write the numbers 357 and 0.0055 in...Ch. 2.2 - What if you were not allowed to use units for one...Ch. 2.5 - Exercise 2.2 Give the number of significant...Ch. 2.5 - Exercise 2.3 Give the answer for each calculation...Ch. 2.6 - Exercise 2.4 Wine is often bottled in 0.750-L...Ch. 2.6 - Exercise 2.5 Racing cars at the Indianapolis Motor...Ch. 2.7 - Exercise 2.6 Which temperature is colder, 172 K or...Ch. 2.7 - Exercise 2.7 Hot tubs are often maintained at 41...Ch. 2.7 - Exercise 2.8 An antifreeze solution in a car’s...Ch. 2.8 - Exercise 2.9A student wants to identify the main...

Solution Summary: The author explains that the given number should be rounded off to three significant digits.

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