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

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

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Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.

No the product of two integers will not always be a positive, because if you multiply a positive and a negative you'll get a negative.

Yes

the answer is a positive because two negative or two positive is always positive.

The product of all those numbers will always be a negative number.

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Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.

No the product of two integers will not always be a positive, because if you multiply a positive and a negative you'll get a negative.

That is false. The product of two negative integers is always positive.

always a negative

Yes

When multiplying integers, multiplying by the same sign will always produce a positive integer. Such as a negative times a negative equals a positive. If the signs are different then the product will be a negative.

the answer is a positive because two negative or two positive is always positive.

It will always be negative.

No, always positive.

The question cannot be answered because it is based on the wrong premise that "the product of two negative integers always negative".

It will always be positive.

No, always negative