Question
Download Solution PDFIf you write down the first 100 natural numbers, how many times will 8 be repeated?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The first 100 natural numbers (1 to 100).
We need to count the number of times the digit '8' appears.
Calculations:
Let's list the numbers from 1 to 100 and identify where the digit '8' appears.
In the units place:
These are numbers ending in 8:
8, 18, 28, 38, 48, 58, 68, 78, 88, 98
Counting these, we find '8' appears 10 times in the units place.
In the tens place:
These are numbers where '8' is in the tens digit (from 80 to 89):
80, 81, 82, 83, 84, 85, 86, 87, 88, 89
Counting these, we find '8' appears 10 times in the tens place.
Total count:
Add the counts from the units place and the tens place:
Total = (Count in units place) + (Count in tens place)
Total = 10 + 10 = 20
∴ The digit '8' will be repeated 20 times when writing down the first 100 natural numbers.
Last updated on Feb 11, 2025
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