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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

#### Answer: (c)

Correct answer : (3)
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

#### Answer: (b)

Correct answer : (2)
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.

Correct answer : (3)
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.

Correct answer : (2)
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

Correct answer : (2)
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.

Correct answer : (4)
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.

Correct answer : (1)
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.

Correct answer : (2)
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.

Correct answer : (2)
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.

Correct answer : (2)

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