Mathematics Properties

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Introduction[edit]

What are the Properties?[edit]

The properties are:

  • Commutative Property of Addition
  • Associative Property of Addition
  • Additive Identity Property
  • Additive Inverse Property
  • Multiplicative Identity Property
  • Multiplicative Inverse Property
  • Multiplicative Property of Zero
  • Additive Property of Zero
  • Commutative Property of Multiplication
  • Associative Property of Multiplication
  • Distributive Property

Definitions of the Properties[edit]

How can I remember and recognize the Properties?[edit]

An example of the Commutative Property

Commutative Property of Addition: 5 + 7 = 7 + 5

Think about a community, 5 + 7 is the same answer, as well as 7 + 5. And that 7, 5, and 12 are all a community. Think that this explanation doesn't help? Make your own explanation by looking at the following problems: 25 + 6 = 6 + 25; 4 + 9 = 9 + 4; 2 + 1 = 1 + 2; 12 + 15 = 15 + 12; 9 + 8 = 8 + 9; 720 + 370 = 370 + 720....

Multiplicative/Additive Property of Zero: 6 x 0 = 0

Think about the zero always being the leader here, as it is "property of zero". Such as (for multiplication) 18 x 0 = 0, the zero rules! It is the property of zero, so it always rules. Plus.... anything times 0 is 0, right?

Multiplicative/Additive Inverse Property: 9 + -9 = 0 or 1/12 + 12/1 = 1

Let's look into the definition of Multiplicative/Additive Inverse Property: A number that can equal to the zero, such as -9 + 9 = 0. Reciprocal's can be added both and equal 1, and that is also the Multiplicative/Additive Inverse Property! Think about it as "inverse", a negative and positive number.

Multiplicative/Additive Identity Property: 4 + 0 = 4 (or) 2 x 1 = 2

Think of it as "identity", the r is the identity holder (you could say) r + n = r - The r kept his identity... Or you could say that it's an identity problem if the number that first appears (like r) is the answer, then it's an identity problem.

Associative Property of Addition: 2 + (9 + 8) = (2 + 9) + 8

I think of it as that it has to deal with parenthesis in both of the equations. It's just moving the parenthesis to different numbers. It still equals the same number both ways.

Quiz[edit]

See also[edit]