yes
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The best way to figure this out would be to use an example. So suppose you had a -20 and divided that by a positive 5. That would give you a -4. Take that -4 and divide it by a -2 which would give you a positive 2 (knowing that two negative numbers cancel out to make a positive number). Thus a negative divided by a positive divided by a negative would give you a positive number.
Yes, when a positive is divided by a negative, it is negative. ex: 4/-2 would equal -2. It takes two negatives to make a positive in math when you are multiplying or dividing.
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Any two positive and negative numbers of equal value would equal zero, for example -2 + 2 = 0 or -937 + 937 =0 and so on.
We have negative numbers, because if there were no negative numbers, people wouldn't lose profit, they would always gain.