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What is the sum of all the whole numbers between 0 and 100?

Published in Mathematics 1 min read

The sum of all the whole numbers between 0 and 100 (inclusive) is 4950.

To calculate this, we need to sum the numbers from 1 to 99. We can use the formula for the sum of an arithmetic series:

S = n(a1 + an) / 2

Where:

  • S = the sum of the series
  • n = the number of terms
  • a1 = the first term
  • an = the last term

In this case:

  • n = 99 (since we're summing from 1 to 99)
  • a1 = 1
  • an = 99

So, S = 99(1 + 99) / 2
S = 99(100) / 2
S = 9900 / 2
S = 4950

Therefore, the sum of all whole numbers between 0 and 100 (exclusive of 0 and 100) is 4950. If the question included 0 and 100, then the question would be the sum of the first 100 natural numbers (excluding zero) plus 100. As stated by Unacademy, the sum of the first 100 natural numbers is 5050. If the question included 0, and all numbers up to and including 99, then that sum would also be 4950 as zero adds no value. Since the question asks specifically "between" 0 and 100, only those numbers that are more than zero and less than 100, whole numbers 1 through 99, are relevant to the calculation.

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