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[OLD]A German mathematician..


SoBeLiz

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There is a well known story of a famous German mathematician,

who showed his brilliance even as a young boy. While in

elementary school, he was given the problem of finding the sum

of all the whole numbers from one to 100. For most of use it

would be a long and difficult task of adding "1=2=3=4 etc."

This young lad, however, solved the problem in his head in just

a few moments. What is the answer and how did he manage to do

it in his head?

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100 x 101 = 10100 ÷ 2 = 5050

 

When adding numbers like that, it's often easier, simpler and more accurate to take the highest number, multiply it by one more than itself, then divide that result in half.

 

As an example, 5+4+3+2+1...

 

5+4+3+2+1 = (9 + 5 + 1 = 14 + 1) = 15

5 x 6 = 30 ÷ 2 = 15

 

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