0
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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Is the product of 4 negative integers positive or negative?
Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.
Is the product of two positive integers always positive?
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.
Is the product of two negative integers always positive?
Yes
Without actually multiplying how can you decide whether the product of two integers is positive negative or 0?
the answer is a positive because two negative or two positive is always positive.
Is the product of 33 negative numbers and 3 positive numbers a positive or negative number?
The product of all those numbers will always be a negative number.
