Scientific Notation Worksheets

**Page 11**

101.

Find the standard form of 6.32 × 10^{-5} .

a. | 632,000 | ||

b. | 632 × 10 ^{-7} | ||

c. | 0.0000632 | ||

d. | 0.00000632 |

Correct answer : (3)

102.

The radius of a Hydrogen atom is equal to 1 × 10^{-1} angstrom. Write this number in standard form.

a. | 0.01 | ||

b. | 0.001 | ||

c. | 0.0001 | ||

d. | 0.1 |

[A negative exponent indicates a small number. Move the decimal point 1 place to the left.]

The radius of a Hydrogen atom in standard form is 0.1 angstrom.

Correct answer : (4)

103.

The viscosity of ethanol at 30^{o}c is 1 × 10^{- 3} NSM^{- 2}. Write this number in standard form.

a. | 0.01 | ||

b. | 0.1 | ||

c. | 0.0001 | ||

d. | 0.001 |

[A negative exponent indicates a small number. Move the decimal point 3 places to the left]

= 0.001

[10

The viscosity of ethanol at 30

Correct answer : (4)

104.

What is the value of $n$, if 0.00023 = 2.3 × 10^{$n$}?

a. | - 6 | ||

b. | - 5 | ||

c. | - 4 | ||

d. | - 3 |

[Move the decimal point 4 places to the right to get a factor greater than or equal to 1 and less than 10.]

2.3 × 10

[Substitute the value of 0.00023 = 2.3 × 10

Since the two factors are equal, the exponents of 10 are equal.

The value of

Correct answer : (3)

105.

Which of the following is equivalent to 2.2 × 10^{- 3}?

a. | 0.022 | ||

b. | 0.22 | ||

c. | 0.0022 | ||

d. | 0.00022 |

[A negative exponent indicates a small number. Move the decimal point 3 places to the left.]

From the choices, the choice C is equivalent to the expression.

Correct answer : (3)

106.

Arrange the numbers 7^{0}, 7^{7}, 7^{5}, 7^{9} from the least to the greatest.

a. | 7 ^{0}, 7^{7}, 7^{9}, 7^{5} | ||

b. | 7 ^{5}, 7^{0}, 7^{9}, 7^{7} | ||

c. | 7 ^{9}, 7^{0}, 7^{7}, 7^{5} | ||

d. | 7 ^{0}, 7^{5}, 7^{7}, 7^{9} |

[Order the exponents.]

So, 7

The order of the numbers from least to highest is 7

Correct answer : (4)

107.

The mean distance of the Earth from the Moon is about 384,400 km. Write this number in scientific notation.

a. | 3.844 x 10 ^{7} | ||

b. | 3.844 x 10 ^{6} | ||

c. | 3.844 x 10 ^{5} | ||

d. | None of the above |

The first factor in the scientific notation of 384,400 is 3.844

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

The mean distance of the Earth from the Moon in scientific notation is about 3.844 x 10

Correct answer : (3)

108.

An area of 6800 m^{2} in the State of Texas is covered with water. Write this number in scientific notation.

a. | 6.8 x 10 ^{4} | ||

b. | 6.8 x 10 ^{3} | ||

c. | 6.8 x 10 ^{2} | ||

d. | None of the above |

The first factor in the scientific notation of 6800 is 6.8

[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 area covered with water in the state of Texas in scientific notation is 6.8 x 10

Correct answer : (2)

109.

Write $\frac{62}{1000000}$ in scientific notation.

a. | 6.2 x 10 ^{-4} | ||

b. | 6.2 x 10 ^{-3} | ||

c. | 6.2 x 10 ^{-5} | ||

d. | 6.2 x 10 ^{-6} |

[Write in decimal form.]

= 6.2 x 0.00001

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

= 6.2 x 10

[The exponent of 10 is -5.]

The scientific notation of

Correct answer : (3)

110.

The total number of farms in the year 2000 in the U.S. was about 1,423,000. Write this number in scientific notation.

a. | 1.423 x 10 ^{7} | ||

b. | 1.423 x 10 ^{5} | ||

c. | 1.423 x 10 ^{6} | ||

d. | None of the above |

The first factor in the scientific notation of 1,423,000 is 1.423

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

The total number of farms in scientific notation is 1.423 x 10

Correct answer : (3)