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What Is the Sum of All Numbers From 1 to 100?
What is the sum of all integers from 1 to 100?
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What is the answer to the sum of all numbers from 1 to 100?
The answer is 5050. Use the formula n×(n+1)÷2, so 100×101÷2 = 5050.
How did a child solve 1 to 100 faster than the teacher?
As a 7-year-old, Carl Friedrich Gauss spotted that 1+100, 2+99, 3+98 and so on make 50 pairs of 101 — that's 50×101 = 5050 in seconds, no adding line by line.
What is the quick trick to add 1 to 100?
Pair the numbers (1+100, 2+99, 3+98…) to get 50 pairs of 101, which equals 5050. This is the famous Gauss method.