﻿ Scientific Notation Worksheets - Page 15 | Problems & Solutions
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# Scientific Notation Worksheets - Page 15

Scientific Notation Worksheets
• Page 15
141.
The mean distance of the Earth from the Moon is about 384,400 km. Write the distance in scientific notation.
 a. 3.844 x 105 b. 3.844 x 107 c. 3.844 x 106 d. None of the above

#### 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 384,400 is 3.844
[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 point is moved 5 places to the left. Use this number as the exponent of 10.]

The mean distance of the Earth from the Moon in scientific notation is about 3.844 x 105 km.

Correct answer : (1)
142.
Water occupies an area of 6800 m2 in the state of Texas. Write the number in scientific notation.
 a. 6.8 x 103 m2 b. 6.8 x 102 m2 c. 6.8 x 104 m2 d. None of the above

#### Solution:

A number in scientific notation is a 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 6800 is 6.8
[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 point is moved 3 places to the left. Use this number as the exponent of 10.]

Area occupied by water in the state of Texas in scientific notation is 6.8 x 103 m2.

Correct answer : (1)
143.
The total number of farms in the year 2000 in the U.S. was about 2,522,000. Write the number in scientific notation.
 a. 2.522 × 107 b. 2.522 × 106 c. 2.522 × 105 d. None of the above

#### Solution:

A number in scientific notation is a 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 2,522,000 is 2.522.
[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 is moved 6 places to the left. Use this number as the exponent of 10.]

The total number of farms in scientific notation is 2.522 × 106.

Correct answer : (2)
144.
One hour is equal to 3600 seconds. Write the number in scientific notation.
 a. 3.6 x 102 b. 3.6 x 103 c. 3.6 x 101 d. None of the above

#### 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 3600 is 3.6
[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 point is moved 3 places to the left. Use this number as the exponent of 10.]

The representation of one hour in scientific notation is 3.6 x 103 seconds.

Correct answer : (2)
145.
One meter is equal to 100 centimeters. Write the number in scientific notation.
 a. 1 x 102 cm b. 1 x 101 cm c. 1 x 103 cm d. None of the above

#### Solution:

A number in scientific notation is a 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 100 is 1
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 102
[The decimal point is moved 2 places to the left. Use this number as the exponent of 10.]

100 centimeters in scientific notation is 1 x 102 centimeters.

Correct answer : (1)
146.
One mean Solar day is equal to 86400 mean Solar seconds. Write the number in scientific notation.
 a. 8.64 x 105 b. 8.64 x 103 c. 8.64 x 104 d. None of the above

#### Solution:

A number in scientific notation is a 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 86400 is 8.64
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

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

One mean Solar day in scientific notation is equal to 8.64 x 104 mean Solar seconds.

Correct answer : (3)
147.
Write 4.5 × 105 in standard form.
 a. 450000 b. 45000 c. 4.5e+06 d. 4.5

#### Solution:

4.5 x 105 = 450000
[Multiplying by 100000 moves the decimal point 5 places to the right.]

The Standard form of 4.5 x 105 is 450000.

Correct answer : (1)
148.
Write 2.225 × 104 in standard form.
 a. 22250 b. 222500 c. 2225 d. None of the above

#### Solution:

2.225 x 104 = 22250
[Multiplying by 10000 moves the decimal point 4 places to the right.]

The standard form of 2.225 x 104 is 22250.

Correct answer : (1)
149.
The total area occupied by the state of South Carolina is about 3.2 × 104 square miles. Write the number in standard form.
 a. 3200 b. 3,20,000 c. 32,000 d. None of the above

#### Solution:

3.2 x 104 = 32,000
[Multiplying by 10,000 moves the decimal point 4 places to the right.]

The total area occupied by the state South Carolina in standard form is 32,000 m2.

Correct answer : (3)
150.
The total men in the U.S Civilian Labor Force in the year 2001 was about 75,743,000. Which of the following represents the number in scientific notation?
 a. 7.5743 × 103 b. 7.5743 × 106 c. 7.5743 × 107 d. 75743 × 107