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anonymous

  • 5 years ago

One of the greatest mathematicians in history, Karl Friedrich Gauss was asked a question by his teacher when he was 8 years old. The teacher told the class to sum up all the numbers from 1 to 100, like this: 1+2+3+4+...+98+99+100. The teacher thought this would keep them occupied for a few hours at the very least...When Gauss shouted 5050 the teacher fell back in his chair! Here is how the child did it: He wrote two sums like this, one going forwards, the other going backwards: \[1 + 2 + 3 + .... + 97 + 98 + 99 + 100 = S\] \[100 + 99 + 98 + 97 + .... + 3 + 2 + 1 = S\] Next he added them up:

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  1. anonymous
    • 5 years ago
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    \[101 + 101 + 101 + ... + 101 = 2S\] and noticed that there are 100 101's! Therefore \[10100 = 2S\] meaning \[S = 5050\] Not bad for an 8 year old!

  2. 2bornot2b
    • 5 years ago
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    Thanks for sharing

  3. anonymous
    • 5 years ago
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    This is considered as an apocryphal story.

  4. anonymous
    • 5 years ago
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    :D

  5. anonymous
    • 5 years ago
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    Cool! Such a brilliant kid!

  6. 2bornot2b
    • 5 years ago
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    Even "Newtons apple" is considered as an apocryphal story

  7. anonymous
    • 5 years ago
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    I was not there at the time of Newton, so that's not apocryphal :P

  8. 2bornot2b
    • 5 years ago
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    I was so it is...

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