If the denominator of a fraction in lowest form is (2^2\times5^4), after at most how many decimal places will the decimal expansion terminate?
Answer and explanation
Correct answer: (4)
Step 1: The denominator has only (2) and (5) as prime factors, so the decimal terminates. Step 2: The exponents are (2) and (4), and the larger exponent is (4). Step 3: Exam tip: For a terminating decimal, use the larger exponent of (2) and (5) to count decimal places.
Frequently asked questions
What is the correct answer to this question?
(4)
Why is this the correct answer?
Step 1: The denominator has only (2) and (5) as prime factors, so the decimal terminates. Step 2: The exponents are (2) and (4), and the larger exponent is (4). Step 3: Exam tip: For a terminating decimal, use the larger exponent of (2) and (5) to count decimal places.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.
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