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Are there commutative and associative properties for Subtraction and division?
No.
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 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).
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.
Give an example showing that the commutative property does not hold for division of whole numbers?
Here is an example: 4/2 = 2 Commutative property is when you can move numbers around in a problem, and it wouldn't change. This is why it doesn't work in division 2/4 = 1/2 The commutative property applies to only addition and multiplication. It does not apply to division or subtraction. More examples: Addition: 2 + 3 = 3 + 2 = 5 Subtraction: 2 - 3 = -1, 3 - 2 = 1 Division: (see above) Multiplication: 3(5) = 5(3) = 15
