Scientific Notation Worksheets

**Page 17**

161.

The total college and university enrollment in the U.S. in the year 2000 was 14,979,000. Write this number in scientific notation.

a. | 1.4979 x 10 ^{5} | ||

b. | 1.4979 x 10 ^{6} | ||

c. | 1.4979 x 10 ^{7} | ||

d. | 1.4979 x 10 ^{8} |

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 college and University enrollment expressed in scientific notation is 1.4979 x 10

Correct answer : (3)

162.

About 2,980,000 people visited the Yellow Stone National Park during the year 2002. Write this number in scientific notation.

a. | 2.98 x 10 ^{5} | ||

b. | 2.89 x 10 ^{6} | ||

c. | 2.89 x 10 ^{5} | ||

d. | 2.98 x 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.]

The scientific notation of 2,980,000 is 2.98 x 10

Correct answer : (4)

163.

An estimated 830,000 people were killed in a flood in India. Identify the number in scientific notation.

a. | 9.3 × 10 ^{5} | ||

b. | 8.3 × 10 ^{4} | ||

c. | 8.3 × 10 ^{5} | ||

d. | 8.3 × 10 ^{6} |

The first factor in the scientific notation of 830,000 is 8.3.

[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 5 places to the left. Use this number as the exponent of 10.]

The number 830,000 expressed in scientific notation is

Correct answer : (3)

164.

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

a. | 1000 miles | ||

b. | 10 miles | ||

c. | 100 miles | ||

d. | 10,000 miles |

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

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

Correct answer : (1)

165.

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

a. | 180,000,000 km | ||

b. | 108,000,000 km | ||

c. | 18,000,000 km | ||

d. | 1,080,000,000 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 : (4)

166.

The number of hotels in a particular state in the U.S. is approximately 2.5 × 10^{5} . Identify this number in standard form.

a. | 205,000 | ||

b. | 255,000 | ||

c. | 250,000 | ||

d. | 200,000 |

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

The number of hotels in a particular state in the U.S can be expressed in standard form as 250,000.

Correct answer : (3)

167.

The traveling speed of the Earth in the Space is 1.08 × 10^{5} kilometer/hour . Identify this number in standard form.

a. | 1,080 kilometer/hour | ||

b. | 108,000 kilometer/hour | ||

c. | 10,800 kilometer/hour | ||

d. | 1,800 kilometer/hour |

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

The traveling speed of the Earth in the space in standard form is 108,000 km per hour.

Correct answer : (2)

168.

The diameter of a proton is about 1 × 10 ^{- 12} mm. Write this number in standard form.

a. | 0.00000000001 | ||

b. | 0.0000000001 | ||

c. | 0.0000000000001 | ||

d. | 0.000000000001 |

[Multiplying by 0.000000000001 moves the decimal point 12 places to the left.]

The diameter of a proton expressed in standard form is 0.000000000001 mm.

Correct answer : (4)

169.

The lowest temperature in a lab setting is about 2.8 × 10 ^{- 10} ^{o}k. Write this number in standard form.

a. | 0.000000000028 | ||

b. | 0.00000000028 | ||

c. | 0.0000000028 | ||

d. | 0.000000028 |

[Multiplying by 0.0000000001 moves the decimal point 10 places to the left.]

The lowest temperature in a lab setting expressed in standard form is 0.00000000028

Correct answer : (2)

170.

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

a. | 593000 ft ^{3} | ||

b. | 5093 ft ^{3} | ||

c. | 5930 ft ^{3} | ||

d. | 59300 ft ^{3} |

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

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

Correct answer : (1)