The ____ property allows you to regroup terms using parentheses when adding or multiplying, without changing the answer.
1 answer:
The property you're thinking off is called the <em>associative property</em>. When stated formally for addition and subtraction, it means:
What this boils down to is that it doesn't matter whether you add/multiply a-and-b and c or a and then b-and-c - you'll end up with the same value from either. Once you understand it for addition, multiplication follows naturally, since one of the ways we define multiplication is as repeated addition. Notice that this property is also what lets us write expressions like 3 + 4 + 5 unambiguously, and without parentheses.
What this boils down to is that it doesn't matter whether you add/multiply a-and-b and c or a and then b-and-c - you'll end up with the same value from either. Once you understand it for addition, multiplication follows naturally, since one of the ways we define multiplication is as repeated addition. Notice that this property is also what lets us write expressions like 3 + 4 + 5 unambiguously, and without parentheses.
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