Name that Property - Variables
a + b + c = b + a + c
Commutative Property of Addition
The Identity Property of Addition
A + 0 = A
2(1 + 4)
2(1) + 2(4)
2 + 8
10
6 * 1 = 6
Multiplicative Identity Property (Identity Property of Multiplication)
How many properties did we learn?
10
a + 0 = a
Commutative Property of Addition
A + (B + C) = (A + B) + C
x(3 + 5)
3x + 5x
7 * 9 * 20 * 5 = 20 * 9 * 5 *7
Commutative Property of Multiplication
What type of property deals with the order of numbers or variables?
Commutative
AB * C = A * BC
Associative Property of Multiplication
Associative Property of Multiplication
A * (B*C) = (A*B)*C
5(2 + 3 + 4)
5(2) + 5(3) + 5(4)
10 + 15 + 20
45
6 + (8 + 4) = (6 + 8) + 4
Associative Property of Addition
What type of property deals with how numbers and variables are grouped?
Associative
A + -A = 0
Inverse Property of Addition
-A + A = 0
-5(4 - 2)
-5(4) - (-5)(2)
-20 + 10
-10
2952 + 0 = 2952
Identity Property of Addition (Additive Identity Property)
Negatives are involved in which property?
Additive Inverse Properties
a/b * b/a = 1
Multiplicative Inverse Property
The Distributive Property of Multiplication over Addition
A (B + C) = AB + AC
Using Distributive Property over Subtraction to rewrite 8(99)
8(99) = 8(100 - 1)
8(100) - 8(1)
800 - 8
792
1/4 of 4 = 1
3 2/5 * ? = 1
5/17