Scientific Notation Worksheets

**Page 12**

111.

One meter is equal to 100 centimeters. Identify this number in scientific notation.

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

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

c. | 1 x 10 ^{2} 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 : (3)

112.

One mean solar day is equal to 86400 mean solar seconds. Identify this number in scientific notation.

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

b. | 8.64 x 10 ^{5} | ||

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)

113.

Identify 5.2 × 10^{3} in standard form.

a. | 5.2 | ||

b. | 5200 | ||

c. | 520 | ||

d. | 52000 |

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

The standard form of 5.2 × 10

Correct answer : (2)

114.

Identify 5.619 × 10^{8} in standard form.

a. | 561900000 | ||

b. | 5619000000 | ||

c. | 56190000 | ||

d. | None of the above |

[Multiplying by 100000000 moves the decimal point 8 places to the right.]

The standard form of 5.619 × 10

Correct answer : (1)

115.

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

a. | 32,000 | ||

b. | 320,000 | ||

c. | 320 | ||

d. | 3,200 |

Correct answer : (1)

116.

The total men in the Civilian Labor Force in the U.S. in the year 2001 was about 7.5743 x 10^{7} . Identify this number written in standard form.

a. | 7,57,430 | ||

b. | 7,574,300 | ||

c. | 75,743,000 | ||

d. | None of the above |

[Multiplying by 10,000,000 moves the decimal point 7 places to the right.]

The total men Civilian Labor Force in the standard form is 75,743,000.

Correct answer : (3)

117.

One kilogram is equal to 1 × 10^{3} grams. Identify this number in standard form.

a. | 1000 gm | ||

b. | 100 gm | ||

c. | 10 gm | ||

d. | None of the above |

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

The representation of 1 × 10

Correct answer : (1)

118.

The total number of cellular phone subscribers in the U.S. in the year 2000 was about 1.1 × 10^{8}. Identify this number in standard form.

a. | 11,100,000 | ||

b. | 11,000,000 | ||

c. | 111,000,000 | ||

d. | 110,000,000 |

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

The total number of Cellular Phone Subscribers in standard form is 110,000,000.

Correct answer : (4)

119.

Write 0.00002 in scientific notation.

a. | 2 | ||

b. | 2 × 10 ^{-5} | ||

c. | 2 × 10 ^{6} | ||

d. | 2 × 10 ^{5} |

The first factor in the scientific notation of 0.00002 is 2.

[Move decimal point 5 places to the right to get a factor between 1 and 10.]

The second factor is 10

[As the decimal point is moved 5 places to the right, take exponent of 10 as - 5.]

So, the scientific notation of 0.00002 is 2 × 10

Correct answer : (2)

120.

Identify 434 × 10^{-2} in standard form.

a. | 4340 | ||

b. | 43.4 | ||

c. | 4.34 | ||

d. | 434 |

So, the number in standard form is 4.34.

[Move decimal point 2 places to the left.]

Correct answer : (3)