Question

Assertion :The denominator of $34.12345$ is of the form $2^n\times 5^m$, where $m,n$ are non-negative integers. Reason: $34.12345$ is a terminating decimal fraction.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
• B. Both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion.
• C. Assertion is correct, but Reason is incorrect.
• D. Assertion is incorrect, but Reason is correct.

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

In a fraction, if the denominator is of the form $2^n\times 5^m$ then the fraction is always terminating.
In this case, $34.12345=\frac{3412345}{100000}$
Denominator is $100000={10}^5=2^5\times 5^5$
Denominator is of the form $2^n\times 5^m$
So, it is terminating and reason is the correct explanation to assertion.
Option $A$