# Property For Sale Are you ready to buy? Associative Property Keep the same order, just move the parenthesis. (a + b) + c = a + (b + c) (ab)c = a(bc)

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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

Inverse Property What number can you add to a and get 0? a + (-a) = 0 What number can you multiply a by and get 1? a( 1 / a ) = 1

Zero Product Property The Zero Product Property states that if you multiply two numbers and get zero, then one or both of the numbers MUST be zero. 1.70 = 0 2.(x + 3)(x – 4) = 0 means either x + 3 = 0 or x – 4 = 0 or they both equal zero

Transitive Property If A = B and B = C, then A = C For example: 5 + 3 = 4 + 4 4 + 4 = 2 + 6 Therefore, 5 + 3 = 2 + 6 Another example: 7x + 4 = 8b – 8 8b – 8 = 56 – y Therefore, 7x + 4 = 56 –y

Reflexive Property By now you should have picked out your home, figured out your commute, created your home identity and examined your square footage. It’s time to Buy. If you buy HOUSE A, then you will end up with HOUSE A. The reflexive property states equivalence. House A = House A, 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 Associative Property Commutative Property Identity Property Inverse Property Zero Product Property Transitive Property Reflexive Property Distributive Property

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