The difference of the number of 4 digit numbers and the number of 3 digit numbers in base 10 system is
Question
The difference of the number of 4 digit numbers and the number of 3 digit numbers in base 10 system is
Solution
In the base 10 system:
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The smallest 3-digit number is 100 and the largest 3-digit number is 999. So, there are 999 - 100 + 1 = 900 three-digit numbers.
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The smallest 4-digit number is 1000 and the largest 4-digit number is 9999. So, there are 9999 - 1000 + 1 = 9000 four-digit numbers.
The difference between the number of 4-digit numbers and 3-digit numbers is 9000 - 900 = 8100.
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