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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 ). Commutative Property. When you add or multiply two numbers, you will get the same answer when you switch the order.
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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)
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. • 7•0 = 0 • (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 + acEveryone 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