Math 110 Chapter 1 and 2 Review
Commutative Property of Addition
Changing the Order a+b = b+a
Commutative Property of Multiplication
Changing the Order ab = ba
(5,7)∪(4,10)
(4,10)
(5,7)∩(4,10)
(5,7)
4∈{4,5}
4 is a member of the set {4,5}
Inverse Property of Addition (Additive Inverse)
Adding a number and its opposite gives you zero. a+(-a) = (-a)+a = 0
Multiplicative Property of Zero
Any number times zero is equal to zero. a×0 = 0 or 0×a = 0
Distributive Property
Draw your arrows. Multiply across BOTH arrows. (So you multiply at least 2 times.) a(b+c) = ab + ac
Associative Property of Addition
Moving Parentheses - keep order the same (a+b)+c = a+(b+c)
Associative Property of Multiplication
Moving Parentheses - keep order the same (ab)c = a(bc)
Inverse Property of Multiplication (Multiplicative Inverse)
Multiplying a number and it's reciprocal gives you one. 2×½ = ½×2 = 1
Identity Property of Multiplication (Multiplicative Identity)
One is the multiplicative identity. Gives you back what you start with. a×1 = 1×a = a
{4}⊆{4,5}
The set containing 4 is a subset of the set {4,5}
Identity Property of Addition (Additive Identity)
Zero is the additive identity. Gives you back what you start with. a+0 = 0+a = a
{3,4,5}∪{5,6,7}
{3,4,5,6,7}
{3,4}∪{5,6}
{3,4,5,6}
{3,4,5}∩{5,6,7}
{5}
{3,4,5,6,7}∩∅
∅