What is a synonym for commutative property?
In the case of addition: Commutative property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Note that (1) the commutative property involves two numbers; the associative property involves three; and (2) the commutative property changes the order of the operands; the associative property doesn't. Repeatedly applying the two properties allow you to rearrange an addition that involves several numbers in any order.
There is no commutative property of division. Commutative means to exchange places of numbers. If you exchange the place of numbers in a division problem, you would affect the answer. So, commutative property applies only to addition or multiplication. Not really; for example, 2/1 = 2, and 1/2 = 0.5. However, you can convert any division into a multiplication, and apply the commutative property of multiplication. For example, 6 / 3 = 6 x (1/2)…
What is the associative property of multiplication and commutative property of multiplication and distributive property of multiplication?
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.