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# Properties of Addition and Multiplcation

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### Properties of Addition and Multiplcation - Page Text Content

S: Kareegan Cramer

BC: The End

FC: Properties of addition and multiplication

1: Commutative Property of Addition: Words IN a sum, you can ass the numbers in any order. Numbers 4+(-7)=-7+4 Algebras a+b=b+a

2: Associative property of addition Words Changing the grouping of the numbers in a sum does not change the sum Numbers (9+6)+2=9+(6+2) Algebra (a+b)+c=a+(b+c)

3: Commutative property of multiplication Words In a product, you can multiply the numbers in any oder. Numbers 8(-5)=-5(8) Algebra ab=ba

4: Associative property of Multiplication Words Changing the grouping of the numbers in a product does not change the product. Numbers (3x10)x4=3x(10x4)

5: Identity property of Addition Words The sum Of a number and the additive identity,0, is the number.Numbers -6+0=-6 Algebra a=0=a

6: Identity property of Multiplication Words The product of a number and the multiplicative identity Numbers 4x1=4 Algebra ax1+a

7: The Distributive Property Algebra | Algebra a(b + c ) = ab + ac (b + c) a = ba + ca a ( b -c ) = ab -ac ( b- c ) a = ba -ca Numbers 4 ( 6 + 3) = 4 (6) +4 (3) ( 6 + 3 ) 4 = 6 ( 4 ) + 3 ( 4 ) 5 (7 - 2 ) = 5 (7 ) -5 (2) (7 - 2) 5 = 7 (5 ) - 2 (5 )

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