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 × 10 ^{7} | ||

b. | 38.44 × 10 ^{4} | ||

c. | 3.844 × 10 ^{5} | ||

d. | 3.844 × 10 ^{6} |

Correct answer : (3)

52.

Identify 280000000 in scientific notation.

a. | 2.8 × 10 ^{7} | ||

b. | 2.8 × 10 ^{6} | ||

c. | 2.8 × 10 ^{9} | ||

d. | 2.8 × 10 ^{8} |

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 10

[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 × 10

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 × 10 ^{9} km | ||

b. | 5.91352 × 10 ^{8} km | ||

c. | 5.91352 × 10 ^{7} km | ||

d. | 5.91352 × 10 ^{10} km |

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 10

[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 × 10

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 × 10 ^{9} | ||

b. | 1.32432 × 10 ^{7} | ||

c. | 1.32432 × 10 ^{6} | ||

d. | 1.32432 × 10 ^{8} |

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 10

[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 × 10

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 × 10 ^{8} | ||

b. | 1.4979 × 10 ^{5} | ||

c. | 1.4979 × 10 ^{6} | ||

d. | 1.4979 × 10 ^{7} |

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 10

[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 × 10

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 × 10 ^{6} | ||

b. | 2.89 × 10 ^{5} | ||

c. | 2.98 × 10 ^{5} | ||

d. | 2.89 × 10 ^{6} |

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 10

[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 × 10

Correct answer : (1)

57.

The population of Delaware was 783,600 in the year 2000. Express the number in scientific notation.

a. | 7.836 × 10 ^{4} | ||

b. | 7.836 × 10 ^{6} | ||

c. | 7.836 × 10 ^{5} | ||

d. | 7.836 × 10 ^{3} |

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 10

[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 × 10

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 × 10 ^{3} ft | ||

b. | 1.25 × 10 ^{4} ft | ||

c. | 1.25 × 10 ^{2} ft | ||

d. | 1.25 × 10 ^{2} ft |

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 10

[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 × 10

Correct answer : (1)

59.

The radius of the Sun is about 695,000 km. Express the number in scientific notation.

a. | 6.95 × 10 ^{6} | ||

b. | 6.95 × 10 ^{3} | ||

c. | 6.95 × 10 ^{4} | ||

d. | 6.95 × 10 ^{5} |

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 10

[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 × 10

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 × 10 ^{8} | ||

b. | 55.8 × 10 ^{7} | ||

c. | 0.558 × 10 ^{7} | ||

d. | 5.58 × 10 ^{7} |

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 10

[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 × 10

Correct answer : (4)