   # Express each of the following in decimal notation: a. 149 × 10 6 km (average distance between Earth and the Sun) b. 7.9 × 10 − 11 m (radius of a hydrogen atom) c. 4.54 × 10 9 yr (age of Earth) d. 6.4 × 10 6 m (radius of Earth) ### 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 2, Problem 17E
Textbook Problem
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## Express each of the following in decimal notation:a. 149 × 10 6 km (average distance between Earth and the Sun)b. 7.9 × 10 − 11 m (radius of a hydrogen atom)c. 4.54 × 10 9 yr (age of Earth)d. 6.4 × 10 6 m (radius of Earth)

Interpretation Introduction

Interpretation:

Each of the given number is to be expressed in decimal notation.

Concept introduction:

Decimal notation is a system in which the numbers expressed in the scientific notation are written in the form of large or small numbers containing many zeros.

If the exponent is positive, the decimal is shifted to the right to many places and zeros are written, if there are not enough digits.

If the exponent is negative, the decimal is shifted to left to many places and zeros are written, if there are not enough digits.

### Explanation of Solution

a) 149×106 km (average distance between Earth and the Sun)

To convert 149×106 km into decimal notation, multiply 149 by 1000000 because the exponent is positive in this case. The expression for 149×106 km in decimal notation is written as follows:

149×1000000= 149000000

Thus, decimal notation for 149×106 km is 149,000,000 km.

b) 7.9×1011 m (radius of a hydrogen atom)

To convert 7.9×1011 m into decimal notation, divide 7.9 by 1000,000,000,00 because the exponent is negative in this case. The expression for 7.9×1011 m in decimal notation is written as follows:

7.9 m×11000,000,000,00= 0.000000000079 m

Thus, the decimal notation of 7.9×1011 m is 0.000000000079 m

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