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Question

Determine whether the given expression will result in a terminating or non-terminating decimal number.

113×26514÷217

A
Terminating decimal number.
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B
Non-terminating decimal number.
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C
Cannot be determined.
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Solution

The correct option is A Terminating decimal number.
Let's follow the PEMDAS rule and simplify it.

We know multiplication and division are of the same priority, followed by subtraction.

113×26514÷217
=113×2×13514×172
(canceling 13 from numerator and denominator)
=25178
Without solving further, we can infer that the denominator is a multiple of both 2 and 5 only.
It will result in a terminating decimal number.

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