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Friday, February 23, 2018

Hindsight is 5050...................50 is halfway to 100.............from 0...........


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What is the sum of the first 100 whole numbers? Gauss noticed that if he was to split the numbers into two groups (1 to 50 and 51 to 100), he could add them together vertically to get a sum of 101. Gauss realized then that his final total would be 50(101) = 5050.

What is the sum of the first 100 whole numbers? - Math Central

mathcentral.uregina.ca/qq/database/qq.02.06/jo1.html
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What is the sum of the first 100 whole numbers? - Math Central

mathcentral.uregina.ca/qq/database/qq.02.06/jo1.html
What is the sum of the first 100 whole numbers? Gauss noticed that if he was to split the numbers into two groups (1 to 50 and 51 to 100), he could add them together vertically to get a sum of 101. Gauss realized then that his final total would be 50(101) = 5050.

Techniques for Adding the Numbers 1 to 100 – BetterExplained

https://betterexplained.com/articles/techniques-for-adding-the-numbers-1-to-100/
average = sum / number of items. which we can rewrite to. sum = average * number of items. So let's figure out the sum. If we have 100 numbers (1…100), then we clearly have 100 items. That was easy. To get the average, notice that the numbers are all equally distributed. For every big number, there's a small number on ...
Posted by Ramsey Paul Williams at 11:23 AM
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