Scientific Notation Worksheets

**Page 7**

61.

It is estimated that 830,000 people were killed in an earthquake in central China. Write this number in scientific notation.

a. | 9.3 × 10 ^{5} | ||

b. | 8.3 × 10 ^{5} | ||

c. | 8.3 × 10 ^{4} | ||

d. | 8.3 × 10 ^{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 moved 5 places to the left. Use this number as the exponent of 10.]

The number 830,000 expressed in scientific notation is 8.3 × 10

Correct answer : (2)

62.

The distance between New York and Tampa is about 1 × 10^{3} miles. Write this number in standard notation.

a. | 100 miles | ||

b. | 10 miles | ||

c. | 10,000 miles | ||

d. | 1000 miles |

[Multiplying by 1000 moves the decimal point 3 places to the right.]

The distance between New York and Tampa expressed in standard notation is 1000 miles.

Correct answer : (4)

63.

The mean distance from the Venus to the Sun is about 1.08 × 10^{9} km. Express the number in standard form.

a. | 1,080,000,000 km | ||

b. | 180,000,000 km | ||

c. | 108,000,000 km | ||

d. | 18,000,000 km |

[Multiplying by 1,000,000,000 moves the decimal point 9 places to the right.]

The mean distance from Venus to the Sun expressed in standard form is 1,080,000,000 km.

Correct answer : (1)

64.

The U.S. has approximately 2.5 × 10^{5} number of rivers. Identify the number in standard form.

a. | 205,000 | ||

b. | 250,000 | ||

c. | 255,000 | ||

d. | 200,000 |

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

The number of rivers in U.S can be expressed in standard form as 250000.

Correct answer : (2)

65.

The flow volume of the Mississippi river was about 5.93 × 10^{5} ft^{3} per second at its mouth. Identify it in the standard form.

a. | 5,930 ft ^{3} | ||

b. | 593,000 ft ^{3} | ||

c. | 59,300 ft ^{3} | ||

d. | 5,093 ft ^{3} |

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

The flow volume of Mississippi river in standard notation is 593000 ft

Correct answer : (2)

66.

The length of the main span of the Niagara Falls Bridge is about 8.21 × 10^{2} ft. Choose the number in standard form.

a. | 82.1 ft | ||

b. | 8.2100 ft | ||

c. | 821 ft | ||

d. | 8,210 ft |

[Multiplying by 100 moves the decimal point 2 places to the right.]

The length of the main span of the Niagara Falls Bridge in standard form is 821 ft.

Correct answer : (3)

67.

The total extent of the farm land in the U.S. is about 9.87 × 10^{8} acres. Identify the number in standard form.

a. | 978,000,000 acres | ||

b. | 989,000,000 acres | ||

c. | 9,870,000 acres | ||

d. | 987,000,000 acres |

[Multiplying by 100,000,000 moves the decimal point 8 places to the right.]

The total extent of farm land expressed in standard form is 987,000,000 acres.

Correct answer : (4)

68.

The total number of air passengers in the year 2001 is about 6.22 × 10^{8}. Identify the number in standard form.

a. | 620,000,000 | ||

b. | 622,000,000 | ||

c. | 62,200,000 | ||

d. | 6,220,000 |

[Multiplying by 100,000,000 moves the decimal point 8 places to the right.]

The total number of air passengers expressed in standard form is 622,000,000.

Correct answer : (2)

69.

The average number of earthquakes detected in the world each year is about 5 × 10^{5}. Identify this number in standard form.

a. | 5000 | ||

b. | 500,000 | ||

c. | 50,000 | ||

d. | 50,500 |

[Multiplying by 100,000 moves the decimal point 5 places to the right.]

The average number of earthquakes detected in the world each year expressed in standard form is 5,00,000.

Correct answer : (2)

70.

Which of the following numbers is in the correct form of scientific notation?

a. | 32.5 x 10 ^{2} | ||

b. | 3.25 x 10 ^{2} | ||

c. | 0.325 x 10 ^{2} | ||

d. | None of the above |

In choice A, 32.5 x 10

In choice B, 3.25 x 10

In choice C, 0.325 x 10

Correct answer : (2)