1-6 Commutative and Associative Properties Flashcards
What is the Commutative Property?
Is the order in which you add or multiply numbers, the result does not change.
An easy way to find the sum or product of numbers is to group, the numbers is using the
Associative Property
What is Associative Property?
Is the way in which you gruop three or more numbers when adding or multiplying does not change their sum or product.
What are the Properties of numbers?
-Commutative
-Associative
-Identity
-Zero
-Distributive
-Substitution
Addition:
a + b = b + a
Multiplication:
ab = ba
Commutative Property
Addition:
(a + b) + c = a+ (b + c)
Multiplication:
(ab)c = a(bc)
Associative Property
Addition:
a + 0 = 0 + a = a
Multiplication:
a X 1 = 1 X a = a
Identity Property
Multiplication:
a X 0 = 0 X a = 0
Zero Property
a (b + c) = ab + ac and (b + c)a =ba + ca
Distributive Property
If a = b, then a may be substituted for b.
Substitution Property
What is the identity for addition?
0
What is the identity for multiplication?
1
