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Scientific Notation Worksheets
• Page 6
51.
The mean distance between Earth and the Moon is about 384,400 km. Identify the distance in scientific notation. a. 3.844 × 107 b. 38.44 × 104 c. 3.844 × 105 d. 3.844 × 106

#### Answer: (c)

Correct answer : (3)
52.
Identify 280000000 in scientific notation. a. 2.8 × 107 b. 2.8 × 106 c. 2.8 × 109 d. 2.8 × 108

#### Solution:

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

The first factor in the scientific notation of 280000000 is 2.8.
[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.]

So, the scientific notation of 280000000 is 2.8 × 108.

Correct answer : (4)
53.
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 × 109 km b. 5.91352 × 108 km c. 5.91352 × 107 km d. 5.91352 × 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 × 109 km.

Correct answer : (1)
54.
The total number of automobiles registered in the year 1999 was 132,432,000. Express the number in scientific notation. a. 1.32432 × 109 b. 1.32432 × 107 c. 1.32432 × 106 d. 1.32432 × 108

#### 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 × 108.

Correct answer : (4)
55.
The total enrollment in the colleges and universities in the U.S. in the year 2000 was 14,979,000. Express the number in scientific notation. a. 1.4979 × 108 b. 1.4979 × 105 c. 1.4979 × 106 d. 1.4979 × 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 14,979,000 is 1.4979.
[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 point moved 7 places to the left. Use this number as the exponent of 10.]

The total enrollment in the colleges and universities in U.S. expressed in scientific notation is 1.4979 × 107.

Correct answer : (4)
56.
About 2,980,000 people visited the Yellow Stone National Park in the year 2002. Express the number in scientific notation. a. 2.98 × 106 b. 2.89 × 105 c. 2.98 × 105 d. 2.89 × 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 2,980,000 is 2.98.
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 106.
[The decimal point moved 6 places to the left. Use this number as the exponent of 10.]

Therefore, the number 2,980,000 expresssed in scientific notation is 2.98 × 106.

Correct answer : (1)
57.
The population of Delaware was 783,600 in the year 2000. Express the number in scientific notation. a. 7.836 × 104 b. 7.836 × 106 c. 7.836 × 105 d. 7.836 × 103

#### Solution:

A number is written in scientific notation as the product of two factors. The first factor should be greater than 1 and less than 10 and the second factor should be a power 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 × 105.

Correct answer : (3)
58.
The height of the Empire State Building in New York is 1,250 ft. Express the number in scientific notation. a. 1.25 × 103 ft b. 1.25 × 104 ft c. 1.25 × 102 ft d. 1.25 × 102 ft

#### Solution:

A number in scientific notation is the product of two factors. The first factor is a number between 1 and 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 × 103 ft.

Correct answer : (1)
59.
The radius of the Sun is about 695,000 km. Express the number in scientific notation. a. 6.95 × 106 b. 6.95 × 103 c. 6.95 × 104 d. 6.95 × 105

#### 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 Sun in scientific notation is 6.95 × 105 km.

Correct answer : (4)
60.
The average daily newspaper circulation in the U.S. in the year 2000 was 55,800,000. Express the number in scientific notation. a. 5 × 108 b. 55.8 × 107 c. 0.558 × 107 d. 5.58 × 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 × 107.

Correct answer : (4)

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