Why does a negative divided by a negative equal a positive?

Thank you! I love math, but I haven’t looked at this concept since I was quite young, so I only learned it by memory, so it was great to understand it now from your explanation.

A smaller negative number will still fit into a larger one a certain amount of times.

Great video, Howie!

I love your videos, but I think this one is a bit risky: if we consider division as 'how many times the divisor fits into the dividend', when I ask about -6 ÷ 2, my students will say the answer is 0, because there's no 2 in -6...😅 how would you fix that misconception?

My thoughts : Negatives are the reflection of the positives over the origin on a # line. We would flip 1 over to get -1, then flip -1 over to get 1, symbolized as -(-1) = 1. Then connected it to -(-1) = -1•-1 = 1 etc