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If (N=2^a \times 5^b) has (4) trailing zeros, which statement about (a) and (b) is correct?
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Answer and explanation
Correct answer: (\min(a,b)=4)
Step 1: Trailing zeros are formed by pairs of (2) and (5). Step 2: The number of pairs equals the smaller exponent of (a) and (b), so (\min(a,b)=4). Step 3: For trailing zeros, count the minimum exponent, not the sum.
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What is the correct answer to this question?
(\min(a,b)=4)
Why is this the correct answer?
Step 1: Trailing zeros are formed by pairs of (2) and (5). Step 2: The number of pairs equals the smaller exponent of (a) and (b), so (\min(a,b)=4). Step 3: For trailing zeros, count the minimum exponent, not the sum.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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