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# Perform each calculation to the correct number of ISBN: 9780321910295 34

## Solution for problem 57P Chapter 2

Introductory Chemistry | 5th Edition

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Problem 57P

Perform each calculation to the correct number of significant figures.

(a) 4.5 × 0.03060 × 0.391

(b) 5.55 ÷ 8.97

(c) (7.890 × 1012) ÷ (6.7 × 104)

(d) 67.8 × 9.8 ÷ 100.04

Step-by-Step Solution:

Solution 57P

Step 1:

First let’s see the rules for significant numbers :

All non-zero digits are considered significant. For example, 81 has two significant figures- 8 and 1, while 123.45 has five significant figures -1, 2, 3, 4 and 5.Zeros appearing anywhere between two non-zero digits are significant.

Example: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3.

Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2.Trailing zeros in a number containing a decimal point are significant. For example : 12.2300 has six significant figures: 1, 2, 2, 3, 0 and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120.00 has five significant figures since it has three trailing zeros.

Rules for Rounding Off :

1. If the first digit to be dropped is 4 or less, then it and all following digits are simply dropped from the number.

2. If the first digit to be dropped is 5 or greater, then the last retained digit of the number is increased by 1.

Step 2 of 2

##### ISBN: 9780321910295

This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5. This full solution covers the following key subjects: calculation, correct, figures, perform, significant. This expansive textbook survival guide covers 19 chapters, and 2045 solutions. Introductory Chemistry was written by and is associated to the ISBN: 9780321910295. Since the solution to 57P from 2 chapter was answered, more than 358 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 57P from chapter: 2 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. The answer to “Perform each calculation to the correct number of significant figures.(a) 4.5 × 0.03060 × 0.391(b) 5.55 ÷ 8.97(c) (7.890 × 1012) ÷ (6.7 × 104)(d) 67.8 × 9.8 ÷ 100.04” is broken down into a number of easy to follow steps, and 30 words.

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