Question

Which of the following has a terminating decimal expansion?
81
17
343
(b)
41
63
(c)
(d)
95​

Answer 1

Answer:

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9th

Maths

Number Systems

Real Numbers and their Decimal Expansion

Which one of the following ...

MATHS

Which one of the following has a terminating decimal expansion?

MEDIUM

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ANSWER

We know that a terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. For example

4

1

=0.25, it has only two decimal digits.

Now consider the fraction

32

5

whose decimal form will be:

32

5

=0.15625

The resulting decimal number ends with five decimal digits and therefore, it is terminating decimal.

Hence,

32

5

has a terminating decimal expansion

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