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:

17/125

Step-by-step explanation:

17/125 because I think so this is non terminating recurring...

Answer 2

Step-by-step explanation:

Step-by-step explanation:We know that the divisor of the forms 2"5" always forma terminating decimal number. Let us simplify the expressions and find if the expansion have a terminating decimal expansion.

Option A:

77 / 210

= 7 x 11 / 2 x 3 x 5 x 7

=11 / 2 x 3 x 5

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

Option B:

23 / 30

=23 / 2 x 3 x 5

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

Option C:

125 / 441

=5 x 5 x 5 / 3 x 3 x 7 x 7

This is also non-terminating.

Option D:

23/8

=23/ 2 x 2 x 2

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

hope it helps you!!