Math, asked by vicky04150, 6 months ago

15. A rational number can be expressed as terminating decimal when the factors of the
denominator are.........or.........only​

Answers

Answered by vruthigaks
2

Answer:

15

Step-by-step explanation:

Any rational number with its denominator is in the form of 2

m

×5

n

, where m,n are positive integers and are terminating decimals. The examples are shown below:

(i)

8

15

=

2×2×2

15

=

2

3

15

=

2

3

×5

3

15×5

3

=

8×125

15×125

=

1000

1875

=1.875

(ii)

20

31

=

2×2×5

31

=

2×2×5×5

31×5

=

100

155

=1.55

In both the examples, the result is a terminating decimal because terminating decimal is a decimal which can be expressed in a finite number of figures.

Hence, a rational number can be expressed as a terminating decimal if the denominator has factors 2 or 5.

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