In class, matthew stated "i think that a negative is like an opposite. that is why multiplying a negative times a negative equals a positive. the opposite of negative is positive, so it is just like multiplying the opposite of a negative twice, which is two positives." do you agree or disagree with this statement? what would you say in response to him?

Yes and no. A negative number and it's opposite are 'integers.' Yes, a negative and a negative multiplied together give you a positive. The two negative signs cancel out making it positive. But no, a positive and a positive multiplied together do not give you a negative. When you subtract positive numbers you can get a negative, but not when multiplying. If you were to do a positive times a negative it would be negative because the positive can't cancel it out. Example: -3 · -3 = 9. [] 3 · 3 = 9. [] -3 · 3 = -9. Other than the positive number part, the statement is true about the negatives. I hope that helped!

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