Multiplication with negative numbers also requires a little thought. First consider negative one (−1). For any positive integer m:
(−1)m = (−1) + (−1) +...+ (−1) = −m
This is an interesting fact that shows that any negative number is just negative one multiplied by a positive number. So multiplication with any integers can be represented by multiplication of whole numbers and (−1)'s.
All that remains is to explicitly define (−1)·(−1):
(−1)·(−1) = −(−1) = 1
However, from a formal viewpoint, multiplication between two negative numbers is (again) directly received by means of the distributive property, e.g: (−1)·(−1)
= (−1)·(−1) + (−2) + 2
= (−1)·(−1) + (−1)·2 + 2
= (−1)·(−1 + 2) + 2
= (−1)·1 + 2
= (−1) + 2
= 1
My children are autistic, misshissyfit, you know that. Their schools are completely different.
My old high school had no uniform, as I posted, I don't recall bullying being a problem because of it.. and we had a wide social and racial mix at that school.
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