a + b + c = c + b + a
Commutative Property (of Addition)
6*8=8*6
Commutative Property (of multiplication)
The Identity Property of Addition
A + 0 = A
Must show work for credit
Evaluate:
3x+6 for x=2
12
Which property changes the ORDER?
Commutative Property
a + 0 = a
Identity Property (of Addition)
7 * 9 * 20 = 20 * 9 * 7
Commutative Property of Multiplication
The Commutative Property of Addition
A + (B + C) = (A + B) + C
Must show work for credit
Evaluate:
17+4x for x=2
25
Which property do you multiply the outside by the in, the in?
Distributive Property
AB * C = A * BC
Associative property (of Multiplication)
The Identity Property of Multiplication
A * 1 = A
Must show work for credit
Evaluate:
x2+1 for x=7
50
Which property changes the GROUP?
Associative Property
Commutative Property (of Addition)
(12*n) * 3 = 12(n*3)
Associative Property (of multiplication)
The Commutative Property of Multiplication
A*B =B*A
Must show work for credit
Evaluate:
x2+6 for x=2
10
Which of the 4 operations can be used with the Commutative Property?
1. Addition 2. Subtraction 3. Multiplication 4. Division
Addition and Multiplication
b*c*d=d*c*b
Commutative property (of multiplication)
6(8+4)=48+24
Distributive Property
Must show work for credit
Evaluate:
4+5x2+1 for x=3
50
What are the four properties you have learned?
Associative, Commutative, Identity, Distributive