Number Line and Sets of Numbers

1. Number Line and Sets of Numbers

2. The Real Numbers(draw) R Q I Z W N

3. The key for the diagram • R-The entire slide represents all Real Numbers • I-Irrational numbers. Includes non-repeating decimals, some square roots, etc. • Q-Rational numbers. Includes repeating decimals, terminating decimals, and all smaller sets. • Z-Integers. Includes positive and negative numbers. NO DECIMALS OR FRACTIONS • W-Whole numbers. Includes positive numbers and zero. • N- Natural numbers. Includes only the positive numbers. NOT ZERO

4. Name the set or sets of numbers to which belongs. Answer: Because , which is neither a repeating nor terminating decimal, this number is irrational. Example 7-2a

5. Name the set or sets of numbers to which belongs. Answer: Because 1 and 6 are integers and , which is a repeating decimal, the number is a rational number. Example 7-2b

6. Name the set or sets of numbers to which belongs. Answer: Because this number is a natural number, a whole number, an integer and a rational number. Example 7-2c

7. Example 7-2d Name the set or sets of numbers to which –327 belongs. Answer: This number is an integer and a rational number.

8. Name the set or sets of numbers to which each real number belongs.a. b. c. d. Example 7-2e Answer: rationals Answer: naturals, whole, integers, rationals Answer: irrationals Answer: integers, rationals

9. The Number Line • Make sure you have an equal spaced number line with labels before you plot the dots. • Make the dots large enough to see. • Darken the line AND the arrow if there is a … in the set. • Make sure you label the dots with the numbers that are in the set as well as the numbers you used to make the number line.

10. Answer: Example 1-2b Graph {–1.5, 0, 1.5, …}.

11. Graph each set of numbers. a. {–5, 2, 3, 5} b. Answer: Answer: Example 1-2d

12. In-class practice: • Pg 71 #18-23 all, #28,30, 46-46 even