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How do you calculate the sum of all three-digit positive numbers?
Wiki User
∙ 14y ago
The highest 3-digit number is 999. It's the 999th counting number.
The first 99 counting numbers have fewer than 3 digits.
So there are (999 - 99) = 900 positive 3-digit numbers.
The first is 100, the last is 999.
100 + 999 = 1,099
101 + 998 = 1,099
102 + 997 = 1,099
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There are (900/2) = 450 pairs; each pair adds up to 1,099.
The sum of all pairs is (450 x 1,099) = 494,550 .
Wiki User
∙ 14y ago
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