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What does Associative Property not work for which operations?
It does not work with subtraction nor division.
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
Why does associative property does not work with subtraction?
Associative property does not work with subtraction because not all numbers can be subtracted and have the same results............
Are there Exceptions to the commutative property?
The commutative property works for adding and multiplying e.g. 2+4=4+2 and 3x4=4x3. But it doesn't work for subtraction and division so 5-3≠3-5 and 6÷2≠2÷6 so subtraction and division could be considered as exceptions.
What is the definition of the Commutative Property?
It means that in certain mathematical operations, you can turn around the order of the numbers without changing the result. Examples:3 + 4 = 4 + 3 (addition of real numbers is commutative)4 x 7 = 7 x 4 (multiplication of real numbers is commutative)3 - 1 is not the same as 1 - 3 (subtraction is not commutative)2 / 1 is not the same as 1 / 2 (division is not commutative)For vectors, A x B = - B x A (not commutative; however, the vector cross product is anticommutative).To help remember this property, think of the word commuteor commuter (like when somebody moves from one place to another, like from home to work).
