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Why is it that a negative number when multiplied by a negative number becomes positive?

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Why is it that a negative number when multiplied by a negative number becomes positive?

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I suppose you can think of it this way. Negative number just means some number with an opposite direction of where you’re going. for example -x * -y On a number line, since you starts out with a negative number, you’re going left(-) at some magnitude x, then you’re multiplying it by another negative number, meaning you’re scaling the original magnitude(x) by a scaling factor(y), since y is negative, you are now going in the opposite direction(right) and since right is represent by +, -x * -y = +xy I guess that’s how i would explain it from a vector point of view.

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