objective 3 | next objective

Properties of Real Numbers


Property
Example
Reflexive Property
x = x
Symmetric Property
if a = b then b = a
Transitive Property
if a = b and b = c then a = c
Substitution Property
if a = b then b can be substituted for a in an equation
Commutative Property
a + b = b + a (addition) or ab = ba (multiplication)
Distributive Property
a(b + c) = ab + ac
Associative Property
a + (b + c) = (a + b) + c or a(bc) = (ab)c
Identity Property
1 x 7 = 7 or x + 0 = x
Inverse Property
x + (-x) = 0 or x(1/x) = 1
Closure Property
When you add or multiply real numbers, the answer is a real number.

























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