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To write it out: -10 + -9 + ... + 9 + 10 = 0. It's pretty easy to just add it out or use a calculator. However, there is a simpler, more logical solution. We must realize that additive inverses add to 0. Meaning -10 + 10 = 0 - 9 + 9 = 0 And so on. Note that all numbers except the 0 will be reduced to 0. All of these 0s equal 0.

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Q: Why is the sum of all integers from -10 to 10 is 0?
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