﻿ Scientific Notation Worksheets | Problems & Solutions

# Scientific Notation Worksheets

Scientific Notation Worksheets
• Page 1
1.
The number of seconds in a week is 604,800. If this number expressed in scientific notation, the numerical value of the exponent will be:
 a. 3 b. 6 c. 2 d. 5

#### Solution:

A number is written in scientific notation as the product of the two factors.The first factor should be greater than one and less than 10 and the second factor should be a power of 10.

604,800 = 6.048 × 105

So, the numerical value of the exponent in scientific notation is 5.

2.
Express 3 × 10- 3 in standard notation.
 a. 0.03 b. 0.003 c. 3e-05 d. 0.0003

3.
Express 1.121 × 109 in standard notation.
 a. 112,100,000 b. 1,121,000,000 c. 1,121,000 d. 1,121,000,000,000

4.
The Gravitational constant G is 0.0000000000667 N m2 kg- 2. Express this in scientific form.
 a. 6.67 × 10-10 N m2 kg- 2 b. 667 × 10- 13 N m2 kg- 2 c. 6.67 × 10- 11 N m2 kg- 2 d. 0.0000000000667 N m2 kg- 2

5.
The population of Delaware was 184,000 in the year 1900. Choose the scientific notation of this number.
 a. 1.84 × 104 b. 1.84 × 103 c. 1.84 × 105 d. 1.84 × 106

6.
The diameter of an atom is 0.0000000125 cm. Which one of the following shows this number in scientific notation?
 a. 12.5 × 10 - 8 cm b. 1.25 × 10 - 10 cm c. 1.25 × 10 - 8 cm d. 125 × 10 - 8 cm

7.
The area of Europe is 9,938,000 sq km. Which one expresses the area in scientific notation rounded to the nearest hundredth?
 a. 9.94 × 106 sq km b. 9.94 × 107 sq km c. 99.40 × 106 sq km d. 994.0 × 104 sq km

8.
The diameter of Earth is 12,753,000 m. Which one expresses the diameter in scientific notation, rounded to the nearest hundredth?
 a. 12.80 × 107 m b. 128.0 × 105 m c. 1.28 × 108 m d. 1.28 × 107 m

9.
Identify the number 0.086731 in scientific notation rounded to one decimal place.
 a. 8.8 × 10-2 b. 8.7 × 102 c. 8.7 × 10-2 d. 8.6 × 10-3