| A | B |
| distributive property of multiplication | a(b+c)=ab+ac |
| inverse property of addition | a+(-a)=0 |
| commutative property of addition | a+b=b+a |
| identity property of addition | 0+a=a |
| associative property of multiplication | (ab)c=a(bc) |
| distributive property of addition | a(b+c)=(a+b)+c |
| identity property of multiplication | a x 1= 1 x a |
| associative property of addition | (a+b)+c=a+(b+c) |
| commutative property of addition | a x b= b x a |