2-7-1 Rules of the game Revised 10-3-2010

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Number Properties : 

Number Properties Rules of the game 2-7-1

Properties : 

Properties Properties are the rules of the game. If the rules are changed a different kind of math is played. These properties are for everyday math.

Commutative Property : 

Commutative Property Order doesn’t matter

Commutative Property : 

Commutative Property Commutative property of addition. a + b = b + a 7 + 8 = 8 + 7 (-3)+4=4+(-3) The commutative property says the order doesn’t matter for addition.

Commutative Property : 

Commutative Property Commutative property of multiplication. a(b) = b(a) 7 x 8 = 8 x 7 (-3)4=4(-3) The commutative property says the order doesn’t matter for multiplication.

Associative Property : 

Associative Property Grouping Doesn’t Matter

Associative Property : 

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 says the grouping doesn’t matter for addition.

Associative Property : 

Associative Property Associative property of multiplication. (axb)xc=ax(bxc) (7x8)x2=8x(7x2) 56x2=8x14 The associative property says the grouping doesn’t matter for multiplication.

Identity : 

Identity No change

Identity : 

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

Identity : 

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

Identity : 

Identity Multiplicative Identity is 1 1xa=a 8x1=8 One times a number is that number.

Inverse : 

Inverse Opposite

Inverse : 

Inverse Additive inverse - opposite Another number that added to the original number is equal to the additive identity. 0 Multiplicative inverse Another number that multiplied by the original number is equal to the Multiplicative identity. 1

Distributive Property : 

Distributive Property Connecting Addition to Multiplication

Distributive Property : 

Distributive Property Distributive property a(b+c)=ab+ac example example Multiplying a sum by some number is the same as multiplying each term by that same number.

Identify the Properties : 

Identify the Properties 3x(4x)=3(4)xx=12x2 commutative and associative properties of multiplication.

The End : 

The End Thanks for being so attentive and taking good notes, you all rock!!!