﻿ Scientific Notation Worksheets - Page 2 | Problems & Solutions

# Scientific Notation Worksheets - Page 2

Scientific Notation Worksheets
• Page 2
11.
The annual rainfall in Alabama is about 0.000898 mi. Identify the scientific notation.
 a. 8.98 × 10-5 b. 8.98 × 10-3 c. 8.98 × 10-4 d. 8.98 × 104

12.
The mean distance from Venus to Sun is about 1.08 × 109 km. Express the number in standard form.
 a. 1,080,000,000 km b. 108,000,000 km c. 180,000,000 km d. 18,000,000 km

13.
Choose the scientific notation of 0.00025.
 a. 2.5 × 104 b. 2.5 × 10-5 c. 2.5 × 10-3 d. 2.5 × 10-4

14.
Express the quotient in scientific notation. Express the answer in decimal form with the same number of significant digits as in the least accurate number given.
 a. 11.4787 × 104 b. 5.73 × 104 c. 1.147 × 105 d. 12.468 × 104

15.
The height of a building in New York is 2,125 ft. Express the number in scientific notation.
 a. 2.125 × 102 ft b. 2.125 × 103 ft c. 2.125 × 104 ft d. 2.125 × 105 ft

16.
The mean distance from Mars to Earth is about 2.98 × 108 km. Express the number in standard form.
 a. 298,000,000 km b. 2,980,000,000 km c. 29,800,000 km d. 290,800,000 km

17.
Simplify and express the result in scientific notation.

 a. - 3.5 × 10 - 6 b. - 3.5 × 106 c. 3.5 × 106 d. 3.5 × 10 - 6

18.
Express the quotient in scientific notation. Express the answer in decimal form with the same number of significant digits as in the least accurate number given.
 a. 4.74 × 108 b. 9.5037 × 108 c. 10.493 × 108 d. 9.49 × 108

19.
Simplify and express the result in scientific notation.
(7.2 × 108) (6.7 × 109)
 a. 4.824 ×1018 b. 4.824 × 1016 c. 4.824 × 1017 d. 4.824

20.
Identify the largest number.
 a. 9.61 × 102 b. 9.21 × 104 c. 9.81 × 103 d. 9.41 × 104

#### Solution:

Order the exponents.

4 > 3 > 2
So, 104 > 103 > 102.

Compare numbers with the same exponent.

9.41 > 9.21
So, 9.41 × 104 > 9.21 × 104 > 9.81 × 103 > 9.61 × 102.

Therefore, the largest number is 9.41 × 104.