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In prealgebra, you learned about the properties of integers. Real numbers have the same types of properties, and you need to be familiar with them in order to solve algebra problems.
Commutative Properties
Addition
a
+ b = b + a
Multiplication
ab
= ba
Associative Properties
Addition
(a
+ b) + c = a + (b + c)
Multiplication
(ab)c
= a(bc)
Distributive Property
a(b + c) = ab + ac
Density Property
Between any two real numbers, there is always another real number.
Identity Properties
Addition
a
+ 0 = a
Multiplication
a
x 1 = a
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