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 10 ^{5} | ||

b. | 3.844 x 10 ^{7} | ||

c. | 3.844 x 10 ^{6} | ||

d. | None of the above |

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 10

[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 10

Correct answer : (1)

142.

Water occupies an area of 6800 m^{2} in the state of Texas. Write the number in scientific notation.

a. | 6.8 x 10 ^{3} m^{2} | ||

b. | 6.8 x 10 ^{2} m^{2} | ||

c. | 6.8 x 10 ^{4} m^{2} | ||

d. | None of the above |

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 10

[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 10

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 × 10 ^{7} | ||

b. | 2.522 × 10 ^{6} | ||

c. | 2.522 × 10 ^{5} | ||

d. | None of the above |

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 10

[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 × 10

Correct answer : (2)

144.

One hour is equal to 3600 seconds. Write the number in scientific notation.

a. | 3.6 x 10 ^{2} | ||

b. | 3.6 x 10 ^{3} | ||

c. | 3.6 x 10 ^{1} | ||

d. | None of the above |

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 10

[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 10

Correct answer : (2)

145.

One meter is equal to 100 centimeters. Write the number in scientific notation.

a. | 1 x 10 ^{2} cm | ||

b. | 1 x 10 ^{1} cm | ||

c. | 1 x 10 ^{3} cm | ||

d. | None of the above |

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 10

[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 10

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 10 ^{5} | ||

b. | 8.64 x 10 ^{3} | ||

c. | 8.64 x 10 ^{4} | ||

d. | None of the above |

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 10

[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 10

Correct answer : (3)

147.

Write 4.5 × 10^{5} in standard form.

a. | 450000 | ||

b. | 45000 | ||

c. | 4500000 | ||

d. | 4.5 |

[Multiplying by 100000 moves the decimal point 5 places to the right.]

The Standard form of 4.5 x 10

Correct answer : (1)

148.

Write 2.225 × 10^{4} in standard form.

a. | 22250 | ||

b. | 222500 | ||

c. | 2225 | ||

d. | None of the above |

[Multiplying by 10000 moves the decimal point 4 places to the right.]

The standard form of 2.225 x 10

Correct answer : (1)

149.

The total area occupied by the state of South Carolina is about 3.2 × 10^{4} square miles. Write the number in standard form.

a. | 3200 | ||

b. | 3,20,000 | ||

c. | 32,000 | ||

d. | None of the above |

[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 m

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 × 10 ^{3} | ||

b. | 7.5743 × 10 ^{6} | ||

c. | 7.5743 × 10 ^{7} | ||

d. | 75743 × 10 ^{7} |

Correct answer : (3)