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How did Carl Friedrich Gauss add up 1 to 100 fast? - Answers

Carl Friedrich Gauss realized that the sum of the numbers from 1 to 100 could be calculated quickly by pairing the numbers. He noticed that pairing the first and last numbers (1 + 100), the second and second-to-last (2 + 99), and so on, each pair always summed to 101. Since there are 50 such pairs in the range from 1 to 100, he multiplied 101 by 50, resulting in a total of 5,050. This clever method significantly sped up the calculation.



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How did Carl Friedrich Gauss add up 1 to 100 fast? - Answers

https://math.answers.com/math-and-arithmetic/How_did_Carl_Friedrich_Gauss_add_up_1_to_100_fast

Carl Friedrich Gauss realized that the sum of the numbers from 1 to 100 could be calculated quickly by pairing the numbers. He noticed that pairing the first and last numbers (1 + 100), the second and second-to-last (2 + 99), and so on, each pair always summed to 101. Since there are 50 such pairs in the range from 1 to 100, he multiplied 101 by 50, resulting in a total of 5,050. This clever method significantly sped up the calculation.



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https://math.answers.com/math-and-arithmetic/How_did_Carl_Friedrich_Gauss_add_up_1_to_100_fast

How did Carl Friedrich Gauss add up 1 to 100 fast? - Answers

Carl Friedrich Gauss realized that the sum of the numbers from 1 to 100 could be calculated quickly by pairing the numbers. He noticed that pairing the first and last numbers (1 + 100), the second and second-to-last (2 + 99), and so on, each pair always summed to 101. Since there are 50 such pairs in the range from 1 to 100, he multiplied 101 by 50, resulting in a total of 5,050. This clever method significantly sped up the calculation.

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      Carl Friedrich Gauss realized that the sum of the numbers from 1 to 100 could be calculated quickly by pairing the numbers. He noticed that pairing the first and last numbers (1 + 100), the second and second-to-last (2 + 99), and so on, each pair always summed to 101. Since there are 50 such pairs in the range from 1 to 100, he multiplied 101 by 50, resulting in a total of 5,050. This clever method significantly sped up the calculation.

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