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Properties of Real Numbers
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z + (-z) = 0
Additive Inverse Property
x(1/x) = 1
Multiplicative Inverse Property
a(c - b) = ac - ab
Distributive property
a(1) = a
Multiplicative Identity property
x(0) = 0
Zero Product Property
5 + (a + b) = (a + b) + 5
Commutative Property of addition
(1 + 2) + 3 = 1 + (2 + 3)
Associative property of addition
a(bc) = (ab)c
Associative Property of multiplication
x + y = y + x
Commutative property of addition
(a/b)(b/a) = 1
Multiplicative Inverse property
x + (-x) = 0
Additive Inverse Property
What is the multiplicative inverse of -3?
-1/3
What is the additive inverse of 5?
-5
What is the identity element of multiplication
1
What is the identity element of addition?
0
5(0) = 0
Zero Product Property
2 (1/2) = 1
Multiplicative inverse Property
4 + (-4) = 0
Additive Inverse Property
x(1) = x
Multiplicative Identity Property
2 + 0 = 2
Additive Identity Property
2(x+y) = 2x + 2y
Distributive Property
ab = ba
Commutative Property of Multiplication
2 + 3 = 3 + 2
Commutative Property of Addition
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