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# 1.2 Properties

### Properties of Real Numbers

(math) x (1/math) = 1 Inverse Property of Multiplication
xy=yx Commutative Property of Multiplication
a+b+(-a) = b Inverse Property of Addition
Can 0 be a multiplicative identity? Why or not? No, because a number multiplied by 0 equals 0, not the original value of the number.
(4+y)+z = 4+(y+z) Associative Property of Addition
1(a+b) = a+b Multiplicative Identity
ab+cd+(-ab) = cd Inverse Property of Addition
Can 1 be the additive identity? Why or why not? No, because 1 does not give the original value of the number. It only increases the value 1.
Zero plus seven equals seven Additive Identity
(6a)(8x)(1/6a) = 8x Inverse Property of Multiplication
Can a property ever be false? Why or why not? No, a property is a statement that is true for every real number.
1(b) = b Multiplicative Identity
(12)(−8)=(−8)(12) Commutative Property of Multiplication
3•(9•0)=(3•9)•0 Associative Property of Multiplication
(-3+4)+5 = 5+(-3+4) Commutative Property of Addition
(4m)n=4(mn) Associative Property of Multiplication
2(3+6) = 2•3 + 2•6 Distributive Property
2(5a)+2(4b)=2(5a+4b) Distributive Property
Use the distributive property to rewrite −4(x+2) -4x - 8
Created by: Ms. Doulis
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