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That's because it is defined to be that way. This definition is quite logical; consider the following sequence:
3 x 10 = 30
2 x 10 = 20
1 x 10 = 10
0 x 10 = 0
-1 x 10 = ???
What number would you expect to replace the question marks? Look for a pattern. The numbers in the first column decrease by one at a time; the numbers in the last column decrease by ten at a time in this example, so you would expect the next number to be -10.
Defining multiplication this way makes many mathematical laws consistent, not only for positive numbers, but only for negative numbers - for example, the distributive law.
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What does a positive times a positive times a negative equal?
A negative times a positive is a negative.
Does a negative times a negative number equal?
A negative number multiplied by a negative yields a positive answer.
Does a double negative equal a positive?
two times a negative number does not equal 0.
How do you multyply integers?
when you have a negative times a negative it will equal a positive but when you have a negative times a positive it will equal a negative no matter what!
Why is a negative number times a negative number always equal a positive number?
because you are dividing with same signs
