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# November 12, 2013

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### November 12, 2013

2. 2. Number Properties
3. 3. Properties Properties are the rules of the game. If these rules are changed, the way we solve problems would be totally different and make no sense.
4. 4. Commutative Property Commutative Property of Addition. a+b=b+a 7+8=8+7 (-3)+ 4 = 4 + (-3) The commutative property of addition says what? Order doesn’t matter.
5. 5. Commutative Property Commutative Property of Multiplication a•b=b•a 7•8=8•7 (-3)•4•5= 4 • 5 •(-3) The commutative property of multiplication says what? Order doesn’t matter.
6. 6. Associative Properties
7. 7. Associative Property Associative Property of Addition (a + b) + c = a + (b + c) (7 + 8) + 2 = 7+(8 + 2) 15 + 2 = 7 + 10 The associative property of addition says what?  That Grouping doesn’t matter
8. 8. Associative Property Associative Property of Multiplication.  (a x b) x c = a x (b x c)  (7 x 8) x 2 = 8 x (7 x 2)  56 x 2 = 8 x 14 The associative property of Multiplication says… That Grouping doesn’t matter.
9. 9. Identity Properties
10. 10. Identity Properties An identity for a particular operation doesn’t change the identity of the number when the operation is done. a + 0= a 7 + 0 =7 The Additive Identity is… 0 Zero plus a number is that number.
11. 11. Identity Properties Multiplicative Identity Multiplicative Identity is… 1 One times a number is that number.
12. 12. Inverse Properties
13. 13. Inverse Properties Additive Inverse - Opposite Another number that added to the original number is equal to the additive identity, which is…. 0 -3 + 3 5 + (-5)
14. 14. Identify the Properties Multiplicative Inverse: The Reciprocal Another number that when multiplied by the original number is equal to the Multiplicative Identity, which is 1 ½ •2 = 1 3 •?? = 1 -1/4 •?? = 1 If xy = 1, then x = ?
15. 15. Original Number 1/5 -1 -6/11 45 0 -8 Additive Inverse Multiplicative Inverse Opposite & Reciprocal
16. 16. • Distributive property – a(b + c) = ab + ac – 3(5 + 7) 15 + 21 = 36 – example – Multiplying a sum by some number is the same as multiplying each term by that same number.