Question

Assertion(A): 13/3125 is a terminating decimal fraction.
Reason(R): If q = 2n.5m where n and m are non-negative integers, then p/q is a terminating decimal expansion.

1. Both Assertion(A) and Reason(R) are true and Reason is the correct explanation for Assertion. 2. Both Assertion and Reason are true but Reason is not the correct explanation for Assertion. 3. Assertion is true but Reason is false. 4. Assertion is false but Reason is true.

Answer 1

BOTH assertion and reason are correct and reason is correct explanation of assertion. Option a is correct.

● Because 13/3125 is terminating decimal number as if q= 2n.5m where n and m are non-negative integers, then p/q is a terminating decimal expansion.

● These numbers can easily be shown in decimal,fractional form that is (terminating and repeating).

● Here p and q are some integers ,q not equal to 0.

Answer 2

Answer:

Step-by-step explanation:

if the denominator of a fraction is of the form 2 ^n ×5 ^m then the fraction is is said to a terminating decimal expansion.

3125=2 ^0 ×5^ 5

Assertion is true

Reason is true and suitable reason for Assertion

∴ Option A is correct