Either way, you get In mathematics, we say that these situations are commutative—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.
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.
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.