the op-op property stands for the opposite of opposites property. the rule tells you: an odd number of negative numbers multiplied give you a negative answer. an even number of negative numbers multiplied gives you a positive answer. this rule only applies to NEGATIVE numbers. for example:
(-1)x(-1)x1x(-1)x(-1)x(-1)x(-1)x1x(-1)x(-1)x(-1) sounds pretty hard right? WRONG
there are seven negative numbers. seven is an ODD number. so the answer is -1.
if there was eight negative numbers the answer would be 1.
hope this helps
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The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
The commutative property of addition and the commutative property of multiplication.
Identity property of multiplication
reflexive property of congruence