A reduced fraction terminates exactly after (2) decimal places. Which denominator is not possible?
Answer and explanation
Correct answer: (50)
Step 1: For exactly (2) places, the larger exponent must be (2). Step 2: (4=2^2), (20=2^2\cdot 5), and (25=5^2) give exactly (2) places. (50=2\cdot 5^2) also gives exactly (2) places, so none of the listed choices is impossible. Step 3: If all options seem possible, check the question or options for an error.
Frequently asked questions
What is the correct answer to this question?
(50)
Why is this the correct answer?
Step 1: For exactly (2) places, the larger exponent must be (2). Step 2: (4=2^2), (20=2^2\cdot 5), and (25=5^2) give exactly (2) places. (50=2\cdot 5^2) also gives exactly (2) places, so none of the listed choices is impossible. Step 3: If all options seem possible, check the question or options for an error.
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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