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Number Properties

Number Properties. Rules of the Game. Properties. Properties are the rules of the game. If the rules are changed, a different kind of math is played. These properties are used in everyday math. Commutative Property. Order doesn ’ t matter. Commutative Property.

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Number Properties

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  1. Number Properties Rules of the Game

  2. Properties • Properties are the rules of the game. • If the rules are changed, a different kind of math is played. • These properties are used in everyday math.

  3. Commutative Property Order doesn’t matter

  4. Commutative Property The Commutative Property for addition looks like this: a + b = b + a 7 + 8 = 8 + 7

  5. Commutative Property The Commutative Property for addition says the order of the numbers doesn’t matter. a + b = b + a 7 + 8 = 8 + 7 15 = 15

  6. Associative Property Grouping doesn’t matter.

  7. Associative Property • Associative Property of Addition looks like this: (a + b) + c = a + (b + c) (7 + 8) + 2 = 7 + (8 + 2) 15 + 2 = 7 + 10

  8. Associative Property The Associative Property for Addition says the grouping of the numbers doesn’t matter. 12 + (8 + 6) = (12 + 8) + 6 12 + 14 = 20 + 6 26 = 26

  9. Identity No change

  10. Identity An identity for a particular operation doesn’t change the identity of the number when the operation is done.

  11. Identity • Additive Identity is 0 a + 0 = a 7 + 0 = 7 Zero plus a number is that number.

  12. Identity • Multiplicative Identity is 1 1 x a = a 8 x 1 = 8 One times a number is that number.

  13. Inverse Opposite

  14. Distributive Property Connecting Addition to Multiplication

  15. Distributive Property The Distributive Property for Multiplication looks like this: 3 x16 = (3x10) + (3x6) Multiplying a sum by some number is the same as multiplying each term by that same number.

  16. Identify the Properties Now you know about the different properties we use in math.

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