Question

4) Decimal expansion of __________ is non terminating recurring a) 4/5 b) 9/16 c) 5/11 d) 17/125 (/ means upon)​

Answer 1

Answer:

9/16 maybe, is the answer cause I think that is non terminating recurring !!

Answer 2

Answer:

We know that the divisor of the forms 2

n

5

m

always form a terminating decimal number. Let us simplify the expressions and find if the expansion have a terminating decimal expansion.

Option A :

210

77

=

2×3×5×7

7×11

=

2×3×5

11

Since there is a factor of 3 in the denominator, the decimal expansion will not be terminating.

Option B :

30

23

=

2×3×5

23

Since, the denominator contains a power of 3 , it is non-terminating.

Option C :

441

125

=

3×3×7×7

5×5×5

This is also non-terminating.

Option D :

8

23

=

2×2×2

23

This contains power of 2 in the denominator. Hence, the decimal expansion is terminating.

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