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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.


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


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.


Correct answer : (3)
 13.  
Which is a terminating decimal, 8 11 or 11 8?
a.
11 8
b.
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.


Correct answer : (1)
 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.


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


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.


Correct answer : (1)

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