#### Solved Examples and Worksheet for Repeating and Terminating Decimals

Q1Identify the terminating decimal.
A. 0.0545454...
B. 0.055
C. 0.0655...
D. 0.155...

Step: 1
A decimal that terminates or stops after a finite number of decimal places is a terminating decimal.
Step: 2
Among the choices, except 0.055, all are repeating decimals.
Step: 3
So, 0.055 is a terminating decimal.
Q2Mr. Paul bought three books from a shop and he paid a total amount of $42.85 to the shopkeeper. All the three books are of the same price. Find the price of each book and find whether the price of the book is a terminating or repeating decimal. A.$14.283..., repeating
B. $14.238..., repeating C.$14.283, terminating
D. $14.238, terminating Step: 1 The price of three books =$42.85.
Step: 2
Price of each book = 42.853.
Step: 3

Step: 4
The price of a book is $14.28333... Step: 5 It is a repeating decimal. Correct Answer is :$14.283..., repeating
Q3What type of the number is 0.114114114...?

A. Terminating decimal
B. Both terminating and repeating decimal
C. Cannot be determined
D. Repeating decimal

Step: 1
When the same block of digits in a decimal repeats without end, the decimal is called a repeating decimal.
Step: 2
0.114114114...
[Original number.]
Step: 3
In the number 114 is repeating with out end.
Step: 4
The number is a repeating decimal number.
Correct Answer is :   Repeating decimal
Q4Identify a repeating decimal.

A. 710
B. 112
C. 45
D. 38

Step: 1
When a digit or sequence of digits keep repeating, it is a repeating decimal.
Step: 2
For 45, when 4 is divided by 5 the quotient is 0.8.
Step: 3
For 38, when 3 is divided by 8 the quotient is 0.375.
Step: 4
For 310, when 3 is divided by 10 the quotient is 0.3.
Step: 5
For 112, when 1 is divided by 12, the quotient is 0.08333. . . and the digit 3 is repeating.
Step: 6
Therefore, 112 is a repeating decimal.
Q5Find the quotient of 12.6 ÷ 3 and write what type of quotient it is.

A. 2.4 repeating decimal
B. 3.2 repeating decimal
C. 5.2 repeating decimal
D. 4.2 terminating decimal

Step: 1
12.6 ÷ 3
Step: 2
Divisor = 3 and dividend = 12.6.
Step: 3

Step: 4
Quotient = 4.2. It is a terminating decimal.
Correct Answer is :   4.2 terminating decimal