| A | B |
|---|
| Communitive Property of Multiplication | The order in which two real numbers are multiplied does not change the product. xy=yx |
| Communitive Property of Addition | The order in which two real numbers are added does not change the sum. x+y=y+x |
| Additive Identity Property | zero added to any number. x+0=x |
| Multiplicative Identity Property | One times any number gives you that number. 1x=x |
| Additive Inverse Property | The Sum of a number an it's opposite is 0. x + (-x)=0 |
| Multiplicative Inverse Property | The product of a number and it's reciprocal is 1. (2)(1/2)=1 |
| Associative Property of Addition | The way three numbers are grouped when adding does not change the sum. (x+y)+z=x+(y+z) |
| Associative Property of Multiplication | The way three numbers are grouped when multiplying does not change the product. (2x3)x4=2x(3x4) |
| Multiplication Property of "-1" | -1 times a number equals the oposite of that number. (-1)(x)=-x |
| Multiplicatication Property of "0" | 0 times any number equals 0. (x)(0)=0 |
| Reflexive Property | A number equals itself. x=x |
| Symmetric Property | The two members of an equation can be reversed without affecting their equality. if x=y then y=x |
| Transitive Property | If the 1st number equals a 2nd number and the 2nd number equals a 3rd number then the 1st number equals the 3rd number. if x=z and y=z then y=x |
