1. Section Vocab

2. N W Z Q R I Name Symbol Examples Natural Number Whole Number Integer
Rational Number
Real Number
Irrational Number N
1, 2, 3, 4…
0, 1, 2, 3, 4… W Z
…-3, -2, -1, 0, 1, 2 ,3… Q R
Any Number I

3. Rational Number
Any number that can be written as a fraction, where b 0

4. Irrational Number
A non-repeating, non-terminating decimal

5. Classify each using symbols
Z, Q, R
1. -6
2. 0
3. ¾
5. 1
6. π
W, Z, Q, R
Q, R
Q, R
N, W, Z, Q, R
I, R

6. ASN (Always, Sometimes, Never)
An integer is rational.
A real number is a whole number.
Π is irrational.
A number can be both rational and irrational.
A negative number is an integer.
Non-terminating, repeating decimals are rational.
Always
Sometimes
Always
Never
Sometimes
Always

7. The Number Line
Coordiante: Each point is paired with exactly one number.
Graph: Each number is paired with exactly one point on the line.

8. Example Problem
Example: The coordinate of point P is -3 and the graph of -3 is point P.
Find the coordinate of the point one third of the way from C to D for the number line shown.

9. Vocabulary Terms to know!
Numerical Expression: a symbol or group of symbols used to represent a number
Value: the number represented by the expression
Algebraic Expression: a numerical expression; a variable; sum/difference/product/quotient that contains one or more variables
Equation: a sentence formed by placing a equal sign between two expressions

10. What is the difference between an expression and an equation??

11. Vocab to know! Inequality symbols: >, <, ≠, ≤, ≥
Inequality: a sentence formed by placing an inequality symbol between two expressions

12. RECALL Sum: the result of adding numbers
Difference: the result of subtracting numbers
Product: the result of multiplying numbers
Quotient: the result of dividing numbers

13. RECALL
Absolute Value: the absolute value of a number is always positive (could be zero).
Order of Operations: PEMDAS

14. Types of Grouping Symbols
Parentheses ( )
Brackets [ ]
Bar (fraction bar) _____
Complete the practice problems!