If you write down all the numbers from 1 to 100, then how many times do you write 3 ?Options11202118
Question
If you write down all the numbers from 1 to 100, then how many times do you write 3 ?
Options:
- 1
- 2
- 20
- 18
Solution
To solve this problem, we need to consider the numbers from 1 to 100 and count how many times the digit '3' appears.
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First, consider the tens place. The digit '3' will appear in the tens place 10 times for every 100 numbers (i.e., 30-39, 130-139, etc.). Since we are only considering numbers from 1 to 100, '3' will appear 10 times in the tens place.
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Next, consider the ones place. The digit '3' will appear in the ones place once for every 10 numbers (i.e., 3, 13, 23, etc.). Since we are considering numbers from 1 to 100, '3' will appear 10 times in the ones place.
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Add the number of times '3' appears in the tens place and the ones place. 10 (from the tens place) + 10 (from the ones place) = 20.
So, the digit '3' appears 20 times in numbers from 1 to 100.
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