# Terminating and Repeating Decimals Worksheet - Page 2

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

#### Solution:

When the same block of digits in a decimal repeats without end, the decimal is called a repeating decimal.

0.135135135...
[Original number.]

In the number 135 is repeating with out end.

The number is a repeating decimal number.

12.
What type of number is 0.12121212?
 a. Repeating decimal b. Cannot be determined c. Terminating decimal d. Both terminating and repeating decimal

#### Solution:

0.12121212
[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.

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

#### Solution:

The divisor in the fraction 8 / 11 is 11 and the dividend is 8.

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

So, the quotient of 8 / 11 is a repeating decimal.

The divisor of the fraction 11 / 8 is 8 and the dividend is 11.

The quotient is a terminating decimal number.

Among the two fractions, the quotient of 11 / 8 is a terminating decimal.

14.
Is 3 ÷ 12 a repeating or terminating decimal?
 a. Terminating decimal b. Repeating decimal

#### Solution:

3 ÷ 12
[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.

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

#### Solution:

Average weight = Total weight / Number of students.
[Formula.]

= 250.66 / 6
[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.