Terminating and Repeating Decimals Worksheet

**Page 2**

11.

What type of the number is 0.135135135...?

a. | Terminating decimal | ||

b. | Both terminating and repeating decimal | ||

c. | Cannot be determined | ||

d. | Repeating decimal |

0.135135135...

[Original number.]

In the number 135 is repeating with out end.

The number is a repeating decimal number.

Correct answer : (4)

12.

What type of number is 0.12121212?

a. | Repeating decimal | ||

b. | Cannot be determined | ||

c. | Terminating decimal | ||

d. | Both terminating and repeating decimal |

[Original number.]

The number ends at 2. It just repeats the sequence of 12 for four times, after that it ends.

0.12121212... is a repeating decimal but 0.12121212 is a terminating decimal.

The number is a terminating decimal number.

Correct answer : (3)

13.

Which is a terminating decimal, $\frac{8}{11}$ or $\frac{11}{8}$?

a. | $\frac{11}{8}$ | ||

b. | $\frac{8}{11}$ | ||

c. | Both | ||

d. | None of the above |

[Place the decimal point in quotient. Then divide.]

So, the quotient of

The divisor of the fraction

The quotient is a terminating decimal number.

Among the two fractions, the quotient of

Correct answer : (1)

14.

Is 3 ÷ 12 a repeating or terminating decimal?

a. | Terminating decimal | ||

b. | Repeating decimal |

[Original expression.]

[Since dividend is less than divisor, place the decimal point in quotient then divide.]

Since there is no remainder left, 3 ÷ 12 is a terminating decimal.

Correct answer : (1)

15.

Total weight of 6 students is 250.66 kg. What is the average weight of each student? Is it a terminating decimal or repeating decimal?

a. | 41.77666..., repeating | ||

b. | 41.7766, terminating | ||

c. | 43.77666..., repeating | ||

d. | 43.776, terminating |

[Formula.]

=

[Substitute.]

[Divide 250.66 by 6.]

Average weight of each student = 41.77666...

As 6 is repeating in the quotient, it is a repeating decimal.

Correct answer : (1)