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Math Properties
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Terms in this set (18)
Distributive Property of Multiplication (w/ respect to addition)
a(b+c) = ab + ac
Distributive Property of Multiplication (w/ respect to subtraction)
a(b-c) = ab - ac
Multiplicative Property of Zero
For every real number a:
a(0) = 0 and 0(a) = 0
Multiplicative Property of -1
For every real number a:
a(-1) = -a and (-1)a = -a
Definition of Subtraction
a - b = a + (-b)
Property of Opposites
a + (-a) = 0
Reflexive Property
A quantity is congruent (equal) to itself.
a = a
Symmetric Property
If a = b, then b = a
Transitive Property
If a = b and b = c, then a = c
Definition of Division
a ÷ b = a × 1/b
Axiom of Closure
a + b is a unique real number
ab is a unique real number
Commutative Property of Addition
a + b = b + a
Commutative Property of Multiplication
a × b = b x a
Associative Property of Addition
(a + b) + c = a + (b + c)
Associative Property of Multiplication
(ab)c = a(bc)
Identity Property of Addition
a + 0 = a
Identity Property of Multiplication
a × 1 = a
Multiplicative Property of Zero
a x 0 = 0
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