Show:
Name that Property-Variables
Name that Property- Numbers
Define that Property
Distribute
Other
100
a + b + c = b + a + c
Commutative Property of Addition
100
6 * 0 = 0
Multiplication Property of Zero
100
The Identity Property of Addition
A + 0 = A
100
2(1 + 4)
2*1 + 2*4 = 2 + 8
100

How many properties did we learn in this section?

12: Identity Property of Addition and of Multiplication, Commutative Property of Addition and of Multiplication, Associative Property of Addition and of Multiplication, Distributive Property, Inverse Property of Addition and of Multiplication, Property of Zero, Reflexive, Transitive and Symmetry

200
a + 0 = a
Identity Property of Addition
200
7 * 9 * 20 * h = 20 * 9 * h * 7
Commutative Property of Multiplication
200
The Commutative Property of Addition
A + (B + C) = (A + B) + C
200
x(3 + 5)
3x + 5x = 8x
200
What type of property deals with the ORDER of numbers or variables?
Commutative
300
AB * C = A * BC
Associative of Multiplication
300
6 + (8 + y) = (6 + 8) + y
Associative Property of Addition
300

Property of Zero

A * 0 = A

300
2g(h + 4p)
2gh + 8gp
300
What type of property deals with how numbers or variables are GROUPED?
Associative
400
A + -A = 0
Inverse Property of Addition
400

if a =b and b=c, then a = c

Transitive Property

400
The Inverse Property of Addition
-A + A = 0
400

1/2 (4x-10)

4/2 x - 10/2 = 2x - 5

400
Provide the justification for the following steps: 6(8x + 4 + 0) = 48x + 24 + 0 = 48x + 24
Distributive Property, Identity Property of Addition
500

If given 6t = 9, then we know that 9 = 6t is also true.

Symmetry Property

500
1/4 of 4 = 1
Inverse Property of Multiplication
500
The Distributive Property
A(B + C) = AB + AC
500

-b(4 - 8c + 0)

-4b + 8bc - 0 = -4b + 8bc

500
We know that A * 0 = 0. If I said x * y = 0, what can we deduce about x and/or y?
That at least one of them has to be zero.