# Associative law of multiplication to write an equivalent expression

Either way, you get In mathematics, we say that these situations are commutativeâ€”the outcome will be the same the coffee is prepared to your liking; you leave the house with both shoes on no matter the order in which the tasks are done. Now, the associative law of multiplication, once again, it sounds like a very fancy thing.

Simplify both expressions to show that they have identical results.

### Commutative and associative property of multiplication

So this is going to be the exact same thing. The order that you add ingredients does not matter. This is the exact same thing as-- we could write it this way. The properties of real numbers provide tools to help you take a complicated expression and simplify it. Almost always people write the larger digit on top, or the digit with more digits, or the number with more digits on top. Now whenever something is in parentheses, that means do that first. But the associative law tells as, well, you know what? I could add this first and then add it to 77, and it's going to be the exact same thing as if I added these two guys first and then add the 3. As long as you are wearing both shoes when you leave your house, you are on the right track! You get Now, the associative law of addition tells us it doesn't matter whether we add 77 and 2 first or whether we add 2 and 3 first.

Introduction There are many times in algebra when you need to simplify an expression. You will want to have a good understanding of these properties to make the problems in algebra easier to work.

And 79 plus 3 is 82, so this is equal to If we were to do 12 times 3 times 10, if we just wrote it like this without parentheses, if we just went left to right, that would essentially be exactly what we just did here on the left.

You can do the 12 times 3 first or you can do the 3 times 10 first. Now, the associative law of addition tells us it doesn't matter whether we add 77 and 2 first or whether we add 2 and 3 first.

## Associative property of multiplication with variables

Let me write them all. Now whenever something is in parentheses, that means do that first. The order does not matter. This is the exact same thing as-- we could write it this way. But let's do it this way. Commutative property of multiplication Video transcript Use the commutative law of multiplication to write 2 times 34 in a different way. Either way, you get

So this associative law of addition, which sounds very fancy and complicated, literally means that you can associate these three numbers in different ways or you can add them in different orders. We have a 77 plus 2 in parentheses, plus 3, in a different way.

In the same way, it does not matter whether you put on your left shoe or right shoe first before heading out to work. I could do 77 plus 2 plus 3.

These parentheses mean do the 77 plus 2 before you add the 3.

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