   Chapter 16, Problem 81AP ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
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# . The number of________ in the logarithm of a number is equal to the number of significant figures in the number.

Interpretation Introduction

Interpretation: Interpretation: The number of significant figures in a number and in the logarithm of that number should be compared.

Concept Introduction:

For writing significant figures, following rules should be followed:

1. Every non-zero digits are significant. For example, the number 2356 has 4 significant figures.

2. Any zero between two non-zero digits are significant. For example, the number 205 has 3 significant figures.

3. The trailing zeros after the decimal are significant. For example, 0.450 has 3 significant figures, 100 has 1 significant figure and 0.025 has 2 significant figures.

Explanation

The number of digits in the log’s mantissa is equal to the number of significant figures in the given original number.

For example: If the original number is 0.2375, taking log of the number,

log0

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