A negative can be thought of as being the opposite of something. The opposite of a negative is positive so the negative of a negative is positive.
Example:
(-2)(-3)
= (-1)(2)(-1)(3)
= (-1)(-1)(2)(3)
= (-1)2(6)
= (1)(6)
= 6
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A positive
A negative multiplied by a negative is a positive.
A negative number multiplied by a negative yields a positive answer.
Because two negative multiplied together equal a positive. So after the first multiplication we have a positive and a negative. When we multiply these we have a negative.
All negative integers, when multiplied by a positive integer, or vice versa, will result in a negative integer. I. E. 5*-5=-25