| A | B |
| ab=ba | commutative property of multiplcation |
| a+b=b+a | commutative proerty of addition |
| a x 1 = a | identity ( property of 1) |
| a x 0 = 0 | identity ( property of 0) |
| a + 0 = a | additive identity property |
| ab(c) = a(bc) | associative property of multiplication |
| a+( b+c) = (a+b) +c | associative property of addition |
| a (b + c) = ab + ac | distributive property / with respect to addition |
| a (b - c) = ab - ac | distributive property / with respect to subtraction |
| 3 x 4 = 4 x 3 | commutative property |
| 2( a + b ) = 2a + 2 b | distributive property |