Scientific Notation Worksheets

**Page 8**

71.

Choose the scientific notation of 0.00023 .

a. | 2.3 × 10 ^{- 3} | ||

b. | 2.3 × 10 ^{4} | ||

c. | 2.3 × 10 ^{- 5} | ||

d. | 2.3 × 10 ^{- 4} |

The first factor in the scientific notation of 0.00023 is 2.3.

[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 4 places to the right. The negative of this number is used as the exponent of 10.]

The scientific notation of the number is 2.3 × 10

Correct answer : (4)

72.

The annual rainfall in Alabama is about 0.000898 mi. Identify the scientific form.

a. | 8.98 × 10 ^{-4} | ||

b. | 8.98 × 10 ^{-5} | ||

c. | 8.98 × 10 ^{-3} | ||

d. | 8.98 × 10 ^{4} |

The first factor in the scientific notation of 0.000898 is 8.98.

[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 4 places to the right. The negative of this number is used as the exponent of 10.]

The annual rainfall in Alabama expressed in scientific notation is 8.98 × 10

Correct answer : (1)

73.

Identify the scientific notation of 0.000003 .

a. | 3 × 10 ^{-4} | ||

b. | 3 × 10 ^{-7} | ||

c. | 3 × 10 ^{-6} | ||

d. | 3 × 10 ^{-5} |

The first factor in the scientific notation of 0.000003 is 3.

[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 right. The negative of this number is used as the exponent of 10.]

The scientific notation of the number is 3 × 10

Correct answer : (3)

74.

The weight of a book was 0.0035 pounds. Identify the scientific notation for this number.

a. | 3.5 × 10 ^{-2} | ||

b. | 3.5 × 10 ^{-3} | ||

c. | 3.5 × 10 ^{-4} | ||

d. | 3.5 × 10 ^{-5} |

The first factor in the scientific notation of 0.0035 is 3.5.

[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 3 places to the right. Use this number as the exponent of 10.]

The weight of the book in scientific notation is 3.5 × 10

Correct answer : (2)

75.

The radius of a circle is 0.003 meters. Identify this number in scientific notation.

a. | 3 × 10 ^{- 4} meters | ||

b. | 3 × 10 ^{- 2} meters | ||

c. | 3 × 10 ^{- 3} meters | ||

d. | 3 × 10 ^{- 5} meters |

The first factor in the scientific notation of 0.003 is 3.

[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 right. The negative of this number is used as the exponent of 10.]

The radius of the circle in scientific notation is 3 × 10

Correct answer : (3)

76.

The ratio of the mass of the planet Mercury to that of the Earth is 0.0553. Choose the standard form.

a. | 5.53 × 10 ^{-3} | ||

b. | 5.53 × 10 ^{-4} | ||

c. | 5.53 × 10 ^{-2} | ||

d. | 5.53 × 10 ^{-1} |

The first factor in the scientific notation of 0.0553 is 5.53.

[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 2 places to the right. The negative of this number is used as the exponent of 10.]

Expressed in scientific notation, the ratio of mass of Mercury to that of Earth is 5.53 × 10

Correct answer : (3)

77.

Choose the standard form of 3.3 × 10^{-4}.

a. | 0.00033 | ||

b. | 0.033 | ||

c. | 0.000033 | ||

d. | 0.0033 |

[Multiplying by 0.0001 moves the decimal point 4 places to the left.]

The standard form of 3.3 × 10

Correct answer : (1)

78.

The diameter of a cable is 3.73 × 10^{-3} meters. Identify the standard form.

a. | 0.000373 | ||

b. | 0.373 | ||

c. | 0.0373 | ||

d. | 0.00373 |

[Multiplying by 0.001 moves the decimal point 3 places to the left.]

The diameter of the cable in standard notation is 0.00373 meters.

Correct answer : (4)

79.

Express 4 × 10^{- 3} in standard notation.

a. | 0.004 | ||

b. | 0.0004 | ||

c. | 0.04 | ||

d. | 0.00004 |

[Multiplying by 0.001 moves the decimal point 3 places to the left.]

The standard form of 4 × 10

Correct answer : (1)

80.

The area of square ABCD is 2 × 10^{-2} square meter. Express the number in standard form.

a. | 0.02 | ||

b. | 0.2 | ||

c. | 0.002 | ||

d. | 2 |

[Multiplying by 0.01 moves the decimal point 2 places to the left.]

The area of square ABCD in standard form is 0.02 m

Correct answer : (1)