1. 2.1 The real #s and absolute value
Objective: Compare real numbers.
Standards Addressed: C: Distinguish between and order rational and irrational numbers.
2.1.8.F: Use the number line model to demonstrate integers and their applications.

2. The real numbers: Natural numbers (N) 1, 2, 3, ….
Whole numbers (W) , 1, 2, 3, ….
Integers (Z) …, -3, -2, -1, 0, 1, 2, 3, …
Rational numbers (Q) p/q, where p and q are integers and q ≠ 0.
Terminating (2.77) & repeating (1/3)
Irrational numbers (I) #s whose decimal part doesn’t terminate or repeat (i.e. ∏ )
Real numbers (R) all rational & irrational #s

4. Ex.1 a. 0 b. ½ c. -8 d. 8 e. R, Q, Z, W R, Q R, Q, Z R, Q, Z, W, N
R, I

5. Ex.2 Use division to write each rational # as a decimal & indicate whether the # is a terminating decimal or a repeating decimal.
a. 4/5
Terminating
b. 4/11
Repeating
c. 5/8
Terminating
d. 7/9
Repeating
e. 5/12
Repeating
f. ¾
Terminating

6. The Symbols Used to compare 2 Real #s are stated & Explained Below:
< is less than or equal to
> is greater than or equal to

7. Ex. 3

8. Opposites
On the # line, 2 #s that lie on opposite sides of 0, and are the same distance from 0 are opposites.
The opposite of a negative # is always a positive #.
The opposite of zero is zero itself.

9. Ex. 4 EvaLUATE EACH EXPRESSION.

10. Ex. 5 ABSOLUTE VALUE
14.2 7 13