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Property
For Sale
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Associative Property
• Keep the same order, just move the
parenthesis.
(a + b) + c = a + (b + c)
(ab)c = a(bc)
Commutative Property
When you add or
multiply two
numbers, you will get
the same answer
when you switch the
order.
a+b=b+a
ab = ba
Identity Property
The number you can
add or multiply by
and still get the
same number.
a+0=a
a·1=a
Zero Product
Property
If you multiply two numbers and get zero,
then one or both of the numbers
MUST be zero.
1. 7•0 = 0
2. (x + 4)(x + 3) = 0
then x + 4 = 0 or x + 3 = 0
Transitive Property
• If A = B and B = C, then A = C
• For example:
7x + 4 = 8b – 8
• 8b – 8 = 56 – y
• Therefore,
7x + 4 = 56 -y
For example:
•6 + 2 = 4 + 4
•4 + 4 = 5 + 3
•Therefore,
6+2=5+3
Reflexive Property
• The reflexive property
states equivalence.
• 7 = 7, 112 = 112
Distributive Property
• This property “distributes” a value to each
number in the parenthesis.
a(b + c) = ab + ac
Everyone in this problem got an “a”
• If you are the mortgage company and folks
don’t pay their mortgage, you take back this
home, and that home, and the other home.
ab + ac = a(b+c)
The Properties
of Algebra
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Associative Property
Commutative Property
Identity Property
Zero Product Property
Transitive Property
Reflexive Property
Distributive Property