   # Perform the following calculations to the correct number of significant figures: a . 89 .3 × 77 .0 × 0 .08 b . 5 .01 × 10 5 / 7.8 × 10 2 c . 4 .005 × 74 × 0 .007 d . 453/2 .031 e . 9 .5 × 10 3 / 34.56 ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter A, Problem 4E
Textbook Problem
1 views

## Perform the following calculations to the correct number of significant figures: a . 89 .3 × 77 .0 × 0 .08 b . 5 .01 × 10 5 / 7.8 × 10 2 c . 4 .005 × 74 × 0 .007 d . 453/2 .031 e . 9 .5 × 10 3 / 34.56

Interpretation Introduction

Interpretation:

The correct significant figures are to be determined for the given calculations.

Concept Introduction:

Significant figures represent the number of significant single digits in the coefficient of an expression in scientific notation.

The outcome of a multiplication or division should contain an equivalent number of significant digits as the factor which contains the least number of significant figures.

The required degree of precision is expressed by each of the digits of a number which begins from the first non-zero digit.

### Explanation of Solution

a) 89.3×77.0×0.08

The given calculation can be done to the correct number of significant figures as:

89.3×77.0×0.08=550.088=550.1

The intermediate answer, which is in parentheses, is rounded to one significant figure in order to reflect the least number of significant figures that is represented by the factor 0.08.

b) 5.01×105/7.8×102

The given calculation can be done to the correct number of significant figures as follows:

5.01×105/7.8×102=(0.642307)×103=0.64×103

The intermediate answer, which is in parentheses, is rounded to two significant figures in order to reflect the least number of significant figures that is represented by the factor 7.8.

c) 4.005×74×0.007

The given calculation can be done to the correct number of significant figures as follows:

4.005×74×0

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