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This is not just integers, but negative numbers in general.Look at this sequence:3 x (-10) = -30

2 x (-10) = -20

1 x (-10) = -10

0 x (-10) = 0

(-1) x (-10) = ???

On the left, the numbers go down one at a time. On the right, they go up ten at a time. You would expect this sequence to continue. So, the question marks would logically be replaced by +10, in this case.

Defining the product of two negative numbers as positive will also make certain laws of operations with numbers more consistent. If you define multiplication this way, you won't have to define lots of exceptions.

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8y ago
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8y ago

Multiplying by a negative "negates" whatever the first one was. Positive times negative is negative. Negative times negative is positive.

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Q: Why is the product of two negative integers always positive?
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