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Commutative means things can move or commute. For example A+B=B+A But A-B does NOT equal B-A. The example A+B=B+A is an example of the commutative property of addition. More formally: An operation is commutative if you can change the order of the numbers involved without changing the result. Subtraction does NOT have a commutative property because you cannot change the order. Here is one last concrete example. 5-4=1 and 4-5 =-1 If you know about absolute value, then you might know that |5-4|=|4-5|=1 and in general |a-b|=|b-a|, but this does not mean that subtraction commutes.
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Why doesn't the commutative property work for subtraction?
you can not use commutative property for subtraction because if you switch them around you will end up with a negative number.
Why is there no commutative property for subtraction or division?
There is no commutative property in subtraction or division because the order of the numbers cannot be change. This means that when multiplying or adding it does not matter the order of the numbers because the answer comes out the same.
What is the commutative property in math?
The commutative property of a binary operator states that the order of the operands does not affect the result. Thus x ^ y = y ^ x where ^ is the binary operator. Addition and multiplication of numbers are two common operators that are commutative. Subtraction and division are two common ones that are not commutative.
Why division is not commutative property?
It is because a/b does not necessarily equal b/a. If this were true, then a2 = b2, which implies a = +/- b, which does not have to be true.Likewise, subtraction is not commutative, because a-b does not have to be equal to b-a. Here, subtraction is anticommutative because a-b = -(b-a).
Is subtraction commutative justify your answer?
yes
