﻿ Scientific Notation Worksheets - Page 16 | Problems & Solutions

Scientific Notation Worksheets - Page 16

Scientific Notation Worksheets
• Page 16
151.
The Orbital Period of Pluto is about 91,000 days. Identify the number in scientific notation.
 a. 91 × 104 b. 0.91 × 104 c. 9.1 × 104 d. 9.1 × 103

152.
The length of the Snake river is about 1.04 × 103 miles. Express the length in standard form.
 a. 140 miles b. 1,040 miles c. 1,400 miles d. 104 miles

153.
The population of Delaware was 783,600 in the year 2000. Write this number in scientific notation.
 a. 7.836 x 104 b. 7.836 x 106 c. 7.836 x 105 d. 7.836 x 103

Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 783,600 is 7.836
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 105
[The decimal is moved 5 places to the left. Use this number as the exponent of 10.]

The population of Delaware in scientific notation is 7.836 x 10 5.

154.
The height of the Empire State building in New York is 1,250 ft. Write this number in scientific notation.

 a. 1.25 x 104 b. 1.25 x 103 c. 1.25 x 102 d. None of the above

Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 1,250 is 1.25
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 103
[The decimal is moved to 3 places to the left. Use this number as the exponent of 10.]

So, the height of the Empire state building in scientific notation is 1.25 x 103.

155.
The population growth rate in the world is about 10,800 people per hour. Write this number in scientific notation.
 a. 10.8 x 104 b. 1.08 x 104 c. 1.06 x 104 d. 10.6 x 104

Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 10,800 is 1.08.
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

Second factor is 104.
[The decimal point is moved 4 places to the left. Use this number as the exponent of 10.]

So, the population growth rate in the world expressed in scientific notation is 1.08 x 104

156.
The length of the river Missouri is 2,540 miles. Write this number in scientific notation.
 a. 2.54 x 102 b. 25.4 x 103 c. 25.4 x 104 d. 2.54 x 103

Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of the number 2,540 is 2.54
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 103
[The decimal is moved 3 places to the left. So the power of 10 in the second factor is 3.]

So, the length of the river Missouri expressed in scientific notation is 2.54 x 103 miles.

157.
The radius of the sun is about 695000 km. Write this number in scientific notation.
 a. 6.95 x 105 b. 6.95 x 103 c. 6.95 x 104 d. 6.95 x 106

Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 695,000 is 6.95
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 105
[The decimal is moved 5 places to the left. Use this number as the exponent of 10.]

So, the radius of the sun in scientific notation is 6.95 x 105 km.

158.
The average daily newspaper circulation in the U.S. in the year 2000 was 55,800,000. Write this number in scientific notation.
 a. 55.8 x 107 b. 5.58 x 107 c. 5 x 108 d. 0.558 x 107

Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 55,800,000 is 5.58
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 107
[The decimal is moved 7 places to the left. Use this number as the exponent of 10.]

So, the average daily newspaper circulation expressed in scientific notation is 5.58 x 107.

159.
The mean distance from the Pluto to the Sun is about 5,913,520,000 km. Write this number in scientific notation.
 a. 5.91352 x 107 km b. 5.91352 x 109 km c. 5.91352 x 108 km d. 5.91352 x 1010 km

Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 5,913,520,000 is 5.91352
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 109.
[The decimal is moved 9 places to the left. Use this number as the exponent of 10.]

So, the mean distance from the Pluto to the Sun in scientific notation is 5.91352 x 109 km.

160.
The total number of automobiles registered in the year 1999 was 132,432,000. Write this number in scientific notation.
 a. 1.32432 x 107 b. 1.32432 x 108 c. 1.32432 x 106 d. 1.32432 x 109

Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 132,432,000 is 1.32432
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 108
[The decimal point moved 8 places to the left. Use this number as the exponent of 10.]

The total number of automobiles registered expressed in scientific notation is 1.32432 x 108.