   # Perform the following calculations to the correct number of significant figures: a . 1459 .3+9 .77 ÷ 4 .32 b . 0 .004+0 .09879 c . 432 ÷ 7 .3-28 .523 d . 2 .4-1 .777 e . 0 .00456 ÷ 1 .0936 ### 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 6E
Textbook Problem
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## Perform the following calculations to the correct number of significant figures: a . 1459 .3+9 .77 ÷ 4 .32 b . 0 .004+0 .09879 c . 432 ÷ 7 .3-28 .523 d . 2 .4-1 .777 e . 0 .00456 ÷ 1 .0936

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 written in scientific notation.

The outcome of an addition or subtraction should contain an equivalent number of decimal places as the quantity containing the least number of decimal places.

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) 1459.3+9.77÷4.32

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

1459.3+9.77÷4.32=(1461.56157)=1461.6

The intermediate answer, which is in parentheses, is rounded to one decimal place because the quantity 1459.3 contains the least number of decimal places, that is, one.

b) 0.004+0.09879

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

0.004+0.09879=(0.10279)=0.103

The intermediate answer, which is in parentheses, is rounded to three decimal places because the quantity 0.004 contains the least number of decimal places, that is, three.

c) 432÷7.328.523

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

432÷7.328.523=(30

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