Algebraic Properties Flashcards
1
Q
a + b + c = a + c + b
A
Commutative Property of Addition
2
Q
a x b x c = a x c x b
A
Commutative Property of Multiplication
3
Q
a(b + c) = ab + ac
A
Distributive Property of Multiplication over Addition
4
Q
a(b - c) = ab - ac
A
Distributive Property of Multiplication over Subtraction
5
Q
(a + b) + c = a + (b +c)
A
Associative Property of Addition
6
Q
(ab)c = a(bc)
A
Associative Property of Multiplication
7
Q
a * 0 = 0
A
Zero Property of Multiplication
8
Q
a + 0 = a
A
Additive Identity
9
Q
a * 1 = a
A
Multiplicative Identity
10
Q
a * 1/a = 1
A
Multiplicative Inverse
11
Q
a + (-a) = 0
A
Additive Inverse
12
Q
If a = b, then b = a
A
Symmetric Property
13
Q
a + b = a + b
A
Reflexive Property
14
Q
a = a
A
Reflexive Property
15
Q
If a = b, and a = c, then b = c
A
Transitive Property
