Which of the following has a terminating decimal representation? *
3⁄22
7⁄40
11⁄28
9⁄55
Answers
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Answer:
option (b) 7/40
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Answered by
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Correct option is
A
5/32
We know that a terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. For example
1/4
=0.25, it has only two decimal digits.
Now consider the fraction
5/32
whose decimal form will be:
5/32
=0.15625
The resulting decimal number ends with five decimal digits and therefore, it is terminating decimal.
Hence,
5/32
has a terminating decimal expansion.
While,
7/9
=0.7777..., non-terminating,
8/15
=0.5333..., non-terminating
and
7/9
=0.08333..., non-terminating
A
5/32
We know that a terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. For example
1/4
=0.25, it has only two decimal digits.
Now consider the fraction
5/32
whose decimal form will be:
5/32
=0.15625
The resulting decimal number ends with five decimal digits and therefore, it is terminating decimal.
Hence,
5/32
has a terminating decimal expansion.
While,
7/9
=0.7777..., non-terminating,
8/15
=0.5333..., non-terminating
and
7/9
=0.08333..., non-terminating
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