Why does multiplying or dividing two negative numbers produce a positive?

Question

Why does multiplying or dividing two negative numbers produce a positive?

In: Mathematics

Answer 1

My teacher used to say “use the word ‘of’ instead of ‘times’ when you’re multiplying. So 2 of 2 = 4. When it comes to multiplying negatives, think of it like a “opposite negative.”

So, if we have 2 of -2, I’m doubling the amount of deficit. If we have -2 of -2 it’s like reversing amount of deficit since it’s the opposite.