Question

What is the sum of all the digits in all the numbers from 1 to 1000?

Answer 1

Answer:

500,500

Step-by-step explanation:

Let's look at some patterns:

1 + 1000 = 1001

2 + 999 = 1001

3 + 998 = 1001

4 + 997 = 1001

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.

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So there are 500 pairs of numbers that have a sum of 1001.

Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

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Answer 2

Formula
Sn = n/2(a+n)
=1000/2(1 + 1000)
= 500 * 1001
= 500,500