Digit Sum

Algebra Level 3

What is the sum of all digits needed to write each whole number from 0 to 1000?


The answer is 13501.

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1 solution

Brian Dela Torre
Oct 12, 2015

Solutions are the following;

Try to pair these numbers... (0, 999), (1, 998), (2, 997),..., (499, 500). There are 500 pairs of numbers. Each pair of number add up 27. As an example... (0, 999) has digit sum of 27.

Since there are 500 pairs, the result follows.

500 × \times 27 = 13500

Add 1 to 13500 since the last number is 1000.

Hence the answer is 13501 \boxed{13501} .

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