Assertion: If the denominator of (\frac{p}{q}) in lowest form is (2^a5^b), the decimal expansion terminates. Reason: In this case, the denominator can be changed into the form (10^k). Choose the correct option.
Answer and explanation
Correct answer: Both assertion and reason are true, and the reason explains the assertion
Step 1: A denominator made of powers of (2) and (5) can be converted into a power of (10). Step 2: When the denominator becomes like (10^k), the decimal terminates. Step 3: In assertion-reason questions, check whether the reason also explains the assertion.
Frequently asked questions
What is the correct answer to this question?
Both assertion and reason are true, and the reason explains the assertion
Why is this the correct answer?
Step 1: A denominator made of powers of (2) and (5) can be converted into a power of (10). Step 2: When the denominator becomes like (10^k), the decimal terminates. Step 3: In assertion-reason questions, check whether the reason also explains the assertion.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
