( 24 + 27 ) + 56
= (27 + 24) + 56 commutative...order was changed
= 27 + ( 24 + 56) associative..grouping was changed
= 27 + 80 addition property
An operation is associative if you can group numbers in any way without changing the answer. It doesn't matter how you combine them, the answer will always be the same. Addition and multiplication are both associative.
An operation is commutative if you can change the order of the numbers involved without changing the result. Addition and multiplication are both commutative. Subtraction is not commutative: 2 - 1 is not equal to 1 - 2.
When you distribute something, you give pieces of it to many different people. One example of distributing objects is handing out papers in class. In math, people usually talk about the distributive property of one operation over another.
The most common distributive property is the distribution of multiplication over addition. It says that when a number is multiplied by the sum of two other numbers, the first number can be handed out or distributed to both of those two numbers and multiplied by each of them separately. Here's the distributive property in symbols:
Now find out what the answers are
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