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 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, Multiplication Property of 0 and of -1 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
The Multiplication 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
291n * -1 = -291n
Multiplication Property of Negative One
400
The Inverse Property of Addition
-A + A = 0
400
Rewrite 8(99) using the distributive property to make the problem easier.
8(100-1) = 8(100) - 8(1) = 800 - 8
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 + qwy, then we know that 9 + qwy = 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 = -b + 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.
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