| Question |
 |
|
| Examples |
|
|
| Associative Property |
a + (b+c) = (a+b) + c and a(bc) = (ab)c
Addition: (3+2) + 1 = 3 + (2+1)
Multiplication: (4x5) x 9 = 4 x (5x9)
Subtraction: not associative
Division: not associative |
| Commutative Property |
a + b = b + a and a x b = b x a
Addition: 2 + 1 = 1 + 2
Multiplication: 5 x 9 = 9 x 5
Subtraction: not commutative
Division: not commutative |
| Inverse Property |
a + -a = 0 and -a + a = 0
a x 1/a = 1 and 1/a x a = 1
Addition: 4 + (-4) = 0
Multiplication: 3/ x 1/3 = 1 |
| Identity Property |
a + 0 = a and 0 + a = a
a x 1 = a and 1 x a = a
Addition: 5 + 0 = 5
Multiplication: 9 x 1 = 9 |
| Distributive Property |
a(b+c) = ab + ac and (b+c)a = ba
3(2+1) = (3x2) + (3x1)
(5+7)6 = (5x6) + (7x6) |
HHS Shrek
