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# Properties of Addition and Multiplication

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

FC: Properties of Addition and Multiplication

1: Commutative Property of Addition In a sum, you can add the numbers in any order. numbers 4+(-7)=-7+4 algebra a + b= b+a

2: Associative Property of Addition 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 in a product, you can multiply the numbers in any order numbers 8(-5)=-5(8) algebra ab=ba

4: Associative Property of Multiplications changing the grouping of the numbers in a product does not change the product numbers (3.10). 4 =3. (10. 4) algebra (ab) =a(bc)

5: Identity Property of Addition the sum of a number and the additive identity, 0,is the number. numbers -6 +0=-6

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

7: Identity property of multiplication the product of a number and the multiplicative identity , 1 is the number. Numbers 4.1=4 Algebra a.1=a

8: The distributive property 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)

9: the end

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