Scientific Notation Worksheets

**Page 10**

91.

An hour is equal to 3600 seconds. Identify this number in scientific notation.

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

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

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 : (1)

92.

The diameter of the Saturn is about 119,300 km. Choose the scientific notation for this number.

a. | 1.193 × 10 ^{5} | ||

b. | 0.1193 × 10 ^{3} | ||

c. | 1.193 × 10 ^{6} | ||

d. | 11.93 × 10 ^{6} |

[Move the decimal point 5 places to the left, to get a factor greater than or equal to 1 and less than 10.]

= 1.193 × 10

[The exponent of 10 is 5.]

The diameter of the Saturn is about 1.193 × 10

Correct answer : (1)

93.

The radius of Uranus is about 25,560 km. Express 25,560 in scientific notation.

a. | 2.556 × 10 ^{-4} | ||

b. | 2.556 × 10 ^{4} | ||

c. | 0.2556 × 10 ^{6} | ||

d. | 2.556 × 10 ^{3} |

Correct answer : (2)

94.

Express 3.6 × 10^{8} in standard form.

a. | 360,000,000 | ||

b. | 36,000,000 | ||

c. | 0.00000036 | ||

d. | 3,600,000,000 |

[A positive exponent indicates a large number. Move the decimal point 8 places to the right.]

= 360,000,000

The standard form of 3.6 × 10

Correct answer : (1)

95.

The speed of light is about 1.86 ×10^{5} mi/s. Identify the standard form of this number.

a. | 18,600,000 | ||

b. | 186,000 | ||

c. | 1,860,000 | ||

d. | 0.0000186 |

Correct answer : (2)

96.

The mass of the Earth is about 5.976 x 10^{24} kg. Write this number in standard form.

a. | 59,760,000,000,000,000,000,000,000 | ||

b. | 5,976,000,000,000 | ||

c. | 5,976,000,000,000,000,000,000,000 | ||

d. | 597,600,000,000,000,000,000,000 |

[A positive exponent indicates a large number. Move the decimal point 24 places to the right.]

= 5,976,000,000,000,000,000,000,000

The mass of Earth in the standard form is 5,976,000,000,000,000,000,000,000 kg.

Correct answer : (3)

97.

The 1^{st} electron-affinity of chlorine is - 3.64 × 10^{2} kj/mole. Write this number in standard form.

a. | - 364000 kj/mole | ||

b. | - 364 kj/mole | ||

c. | - 36400 kj/mole | ||

d. | - 3640 kj/mole |

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

The 1

Correct answer : (2)

98.

Express - 4.4 × 10^{6} in standard form.

a. | - 4,400,000 | ||

b. | 4,400,000 | ||

c. | - 44,000,000 | ||

d. | - 440,000 |

[Multiplying by 1,000,000 moves the decimal point 6 places to the right.]

The standard form of - 4.4 x 10

Correct answer : (1)

99.

Express 0.004 in scientific notation.

a. | 4 × 10 ^{-5} | ||

b. | 4 × 10 ^{-2} | ||

c. | 4 × 10 ^{-3} | ||

d. | 4 × 10 ^{-4} |

[Move the decimal point 3 places right to get a factor greater than or equal to 1 and less than 10.]

= 4 × 10

[The exponent of 10 is - 3.]

The scientific notation of 0.004 is 4 × 10

Correct answer : (3)

100.

The diameter of a Hydrogen atom is 0.00000001 mm. Express this number in scientific notation.

a. | 1 × 10 ^{-8} mm | ||

b. | 0.1 × 10 ^{-7} mm | ||

c. | 1 × 10 ^{-9} mm | ||

d. | 1 × 10 ^{8} mm |

0.00000001

[Move the decimal point 8 places to the right to get a factor greater than or equal to 1 and less than 10.]

= 1 × 0.00000001

= 1 × 10

[0.00000001 =

The diameter of a Hydrogen atom is about 1 × 10

Correct answer : (1)