 An interactive math lesson about the commutative, associative, distributive and multiplicative identity properties of addition. Elementary math curricula often include a discussion of number properties, specifically the properties of addition and subtraction. In other words: is there any structural definition of "addition" or "multiplication"?. If both meet group properties, what else tells one from the other.

Commutative Property The commutative property says that the positions of the numbers in a mathematical equation do not affect the ultimate solution. Five plus three is the same as three plus five.

This applies to addition, regardless of how many numbers you add together. The commutative property allows you to add a large group of numbers together in any order.

### Properties of Addition and Subtraction | Sciencing

The commutative property does not apply to subtraction. Five minus three is not the same as three minus five. Associative Property The associative property applies to more complicated equations that use parentheses or brackets to separate groups of numbers. The associative property says that numbers you are adding together can be grouped in any order. When you are adding numbers together, you can move the parentheses around. The associative property also does not apply to subtraction since 3 - 4 - 2 does not equal 3 - 4 - 2. Addition and subtraction as inverse operations Video transcript Let's say that we have the number 5, and we're asked, what number do we add to the number 5 to get to 0? And you might already know this, but I'll just draw it out.

So let's say we have a number line right over here. And 0 is sitting right over there. And we are already sitting here at 5. So to go from 5 to 0, we have to go five spaces to the left.