# Determining the Number of Significant Figures How many significant figures are in each of the following numbers? 0 .0087 4 .50 × 10 5 45 .5 164 .09 0 .98850

### Chemistry In Focus

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

### Chemistry In Focus

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

#### Solutions

Chapter A, Problem A1.1YT
Textbook Problem

## Determining the Number of Significant FiguresHow many significant figures are in each of the following numbers? 0 .0087 4 .50  ×  10 5 45 .5 164 .09 0 .98850

Expert Solution
Interpretation Introduction

Interpretation:

The number of significant figures in each of the given numbers is to be determined.

Concept Introduction:

Significant figures are those digits in a number that carry meaning towards the resolution of the measurement.

The digit which is not a zero is significant digit.

If the zero is lies between two non-zero digit then it is a significant digit.

If a zero is placed in left to the non-zero digit then it is not a significant digit.

If a zero is placed in right to the last non-zero digit in a decimal then it is a significant

Solution:

a) Two significant figures.

b) Three significant figures.

c) Three significant figures.

d) Five significant figures.

e) Five significant figures.

### Explanation of Solution

a) 0.0087

In 0.0087, 8 and 7 are significant but the leading zeros mark the decimalonly and are not significant. Therefore, the number has two significant figures.

b) 4.50×105

In 4.50×105, besides 4 and 5, the trailing zero is also significant. Therefore, the number has three significant figures.

c) 45.5

Since all the three digits in 45.5 are significant. Therefore, the number has three significant figures.

d) 164.09

Since all the give digits in 164.09 are significant, the number has five significant figures.

e) 0.98850

In 0.98850, all the four digits and the trailing 0 are significant. Therefore, the number has five significant figures.

### Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

### Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Find more solutions based on key concepts
Make the following temperature conversions:

Chemistry & Chemical Reactivity

Name three carbohydrates that can be built using only glucose monomers.

Biology: The Unity and Diversity of Life (MindTap Course List)

Both carbohydrates and protein have 4 calories per gram. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Figure P10.18 shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm l...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Why are coccolithophores more easily seen from space than diatoms?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin