Types of Numbers
All of the counting numbers (starting at 1) are
Natural Numbers
3 + 5 = 8
5 + 3 = 8
is an example of
The Commutative Property
The order of operations PEMDAS stands for
Parentheses, Exponents, [Multiplication and Division], [Addition and Subtraction].
Solve: x - 7 = 15
x = 22
(2, 4) (3, 5) (4, 4) (5, 5)
Yes, no repeating x-values.
All the positive and negative whole numbers are
Integers
4(3 + 5) = 12 + 20 = 32
is an example of
The Distributive Property
Evaluate:
3 + 7 * 2 - 10
7
Solve: 4x + 9 = 33
x = 6
If f(x) = 2x + 5, find f(8)
f(8) = 21
All types of numbers are
Real Numbers
-84 + 0 = -84
is an example of
The Additive Identity Property
Evaluate: (10 + 2)/6 * 8
16
Solve: 6x - 10 = 5x +7
x = 17
Find the slope between the points (4, 7) and (10, 16)
9/6 or 3/2
All numbers that can be made into fractions are
Rational Numbers
763 * 0 = 0
is an example of
The Zero Property
(3)2 - (5 + 3)
1
Solve: 10 - 2x < 26
x > -8
What is the form of a linear equation?
y = mx + b
Non-terminating, non-repeating decimals are
Irrational Numbers
1/5 * 5/1 = 1
is an example of
The Multiplicative Inverse Property
(3/5) - (1/2) / (2/3)
-3/20
Solve: 3|x + 4| = 27
x = 5 and x = -13
Graph: y = 1/3x - 1
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