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Properties of Real Numbers

* means multiply or multiplication

AB
-4 + 9 = 9 + (-4)commutative of +
6x = x(6)commutative of *
(2 + 4) + 9 = 2 + (4 + 9)associative of +
(5 * 6)10 = 5(6 * 10)associative of *
-219 + 0 = - 219additive identity
4/5 * 1 = 4/5multiplicative identity
-2(x - 5) = -2x + 10distributive
If 2x = 3y, then 2x+5=3y+5.addition prop of =
If 10a=15b, then 10a-6=15b-6.subtraction prop of =
If s = t, then -6s = -6t.multiplication prop of =
If 4x = -24, then x = -6.division prop of =
6*2*3*5=6*3*2*5commutative of *
6*3*2*5 = (6*3)(2*5)associative of *
6(4+5) = 6*4 + 6*5distributive property
2(n + 3n) = 2n + 6ndistributive property
(9 - p)3 = 27 - 3pdistributive property
-54 + 0 = -54additive identity
-39 * 1 = - 39multiplicative identity
If x = 5, then 2x = 5*2multiplication prop of =
If 5n = -35, then n = -7division prop of =


Faculty
Althoff Catholic High School
Belleville, IL

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