The document discusses rational numbers and their representation on a number line. It defines rational numbers as numbers that can be expressed as a/b, where a and b are integers and b ≠ 0. It also discusses integers, absolute value, and evaluating expressions involving absolute value.

1. Section 2.1 Rational Numbers on the Number Line

2. Different types of numbers: Natural Numbers: 1, 2, 3, 4….. Whole Numbers: 0, 1, 2, 3, 4…. Integers: …-3, -2, -1, 0, 1, 2, 3… Rational Numbers: numbers that can be expressed in the form a/b; where a and b are integers AND b ≠ 0.

3. Integers Integers are zero, positive and negative whole numbers Which of the following is not an integer? 5 0 -7.25 π -2 9 305 -17 -12.5 -1/2 n 0 0.5 4/2 16/4 901

4. Graphing Rational Numbers on the Number Line Creative a number line like the one below and graph the points with the following coordinates: -8 5 / 3 0 17/2 11/3 -5/2

5. Graph all integers less than -7

6. Absolute Value Pay EXTRA attention to this: The Absolute Value of a number is the distance the number is from 0 on the number line.

7. For example: Ι7Ι = 7 Ι1Ι = 1 Ι-5Ι = 5 Ι3Ι + Ι4Ι 3 + 4 = 7 I-3I + I-4I 3 + 4 = 7 6 + I-3I 6 + 3 = 9

8. Evaluate the follow expressions if x = -4 and y = 6 3 + IxI IyI+ IxI Iy+xI 7IxI 2IxIIyI Ix+yI