Cool Commutativity
This Week We Are Learning About Commutativity.
I know this sounds like a tricky word to say and even harder to learn but really, it's not!
This is what commutativity is:
Commutativity is a property of an operation over a particular set of numbers.
When we say that addition is commutative over the set of real numbers we mean that:
5 + 6 = 6 + 5
Multiplication is also commutative over the set real numbers because:
7 x 6 = 6 x 7
However Subtraction and Division are not because:
5 - 6 isn't the same as 6 - 5
42 divided by 6 isn't the same as 42 divided by 7
More Information About What You Can Do With Commutativity
Rearranging:
Rearranging is exactly like it says it is. Rearranging is rearranging the numbers around to make the question that little bit easier.
For Example:
2 x 16 x 5 = (2 x 5) x 16 = 10 x 16 = 160
Distributing:
Distributing Example:
3 x (2 + 4) = 3 x 6 = 18
3 x 2 + 3 x 4 = 6 + 12 = 18
Distributing is changing the equation slightly to make it easier to work out with out making it a different question.

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