Without actually performing divisions state 11/12 is terminating or non terminating decimal
Answers
Answered by
18
Given: The number 11/12
To find: Whether the given number is terminating or non terminating decimal.
Solution:
- Now we have given the rational number 11/12.
- Now for the number to be termination, the condition which needs to be satisfied is:
- Denominator should be in the form of: 2^m x 5^n
- Else the number is non terminating.
- Now we have 12 in denominator of the given number.
- Factors of 12 are 2 x 2 x 3 = 2^2 x 3^1
- Now these factors are not in the form of 2^m x 5^n.
- So the number is non terminating.
Answer:
So the given number 11/12 is non terminating.
Answered by
0
Answer:
12
11
=
4∗3
11
=
2
2
∗3
11
∴ The denominator can not be written in the form 2
n
5
m
.
∴
12
11
has a non terminating repeating decimal form.
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