a + b + c = b + a + c
Commutative Property of Addition
a x b = b x a
Commutative Property of Multiplication
(a + b) + c = a + (b + c)
Associative Property of Addition
(a x b) x c = a x (b x c)
Associative Property of Multiplication
a(b + c) = ab + ac
Distributive Property
a + 0 = a
Additive Identity
a x 1 = a
Multiplicative Identity
a + (-a) = 0
Additive Inverse
a x 1/a = 1
Multiplicative Inverse
a x 0 = 0
Multiplicative Property of Zero
0 = 13 x 0
Multiplicative Property of Zero
3/5 x 5/3 = 1
Multiplicative Inverse
0 = -11 + 11
Additive Inverse
15 = 1 x 15
Multiplicative Identity
7 + k + 0 = 7 + k
Additive Identity
3 x 5 + 3 x 7 = 3(5 + 7)
Distributive Property
10(y + 5) = 10y + 10 x 5
Distributive Property
3 x (4 x 5) = (3 x 4) x 5
Associative Property of Multiplication
(12 + 2) + 4 = 12 + (2 + 4)
Associative Property of Addition
5(x + 4) = (x + 4)(5)
Commutative Property of Multiplication
2(5 x 7) = 2(7 x 5)
Commutative Property of Multiplication
6(3 + 9) = 6(9 + 3)
Commutative Property of Addition
(15 + 3) + 8 = 8 + (15 + 3)
Commutative Property of Addition
You can add numbers in any order
Commutative Property of Addition
You can change the grouping of numbers in an addition problem
Associative Property of Addition
You can multiply numbers in any order
Commutative Property of Multiplication
You can change the grouping of numbers in a multiplication problem
Associative Property of Multiplication
Share multiplication over all terms in the parentheses
Distributive Property
the sum of a number and its opposite will always equal zero
Additive Inverse
a number times its reciprocal will always equal one
Multiplicative Inverse
zero added to a number will not change the number
Additive Identity
a number times one equals itself
Multiplicative Identity
any number times zero equals zero
Multiplicative Property of Zero