Division games that teach your child to understand the:
Addition and multiplication are commutative over the set of real numbers.That means, for any two real numbers x and y, x + y = y + x and xy = yx. Ask your child why they think that is?
Subtraction and Division are not commutative.
The Math Dude has a super cool way of explaining communicative property to children.
The Commutative Property in Everyday Life.....
Does it matter if you put your right shoe on before your left? How about putting on your socks before your shoes, or vise versa? Does the final outcome depend upon the order in which you do these things? Hopefully the answers are obvious. Otherwise, you’re probably destined to receive more than one befuddled look when venturing outside.But the point is an important one. No, it does not matter if you put your left shoe on and then your right, or your right shoe on and then your left. The result is exactly the same. Namely, you go from a state of not wearing shoes, to a state of wearing shoes. However, the same thing cannot be said about socks and shoes. The outcome is very different when putting your socks on before your shoes versus putting your shoes on before your socks.So what’s the relationship to math? Well, the process of putting on your left and right shoes satisfies the commutative property. When two processes commute, or yield the same result regardless of order, the order in which you do them doesn't matter. So, putting on your left and rights shoes is a commutative process—the end result doesn't change whether you put the left one on before or after the right one. Putting on your socks and shoes is not a commutative process.