1. The Importance/Components of the Real Number System

2. How many desserts do you see?

3. How do we represent ten? 1010 The number 0 is important for place values.

4. Natural Numbers (Counting) N 1, 2, 3, …. 1, 2, 3, …. 1 2 3 1 2 3

5. Whole Numbers (W) Natural numbers and 0 Natural numbers and 0 0, 1, 2, 3, … 0, 1, 2, 3, … 0 1 2 3 0 1 2 3

6. Bank Account Balance: $10.00 Balance: $10.00 Write a check: $20.00 Write a check: $20.00 New balance: $-10.00 New balance: $-10.00 Deposit: $10.00 Deposit: $10.00 New balance: $0.00 New balance: $0.00

7. Integers (Z) Whole numbers and negative numbers Whole numbers and negative numbers …,-3, -2, -1, 0, 1, 2, 3,… …,-3, -2, -1, 0, 1, 2, 3,… -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3

8. How do we represent one slice of pizza from a pizza with 8 total slices? 1/8

9. Rational Numbers (Q) All numbers that can be expressed as ratios where the numerator and denominator are integers and the denominator cannot be 0. All numbers that can be expressed as ratios where the numerator and denominator are integers and the denominator cannot be 0. 1/2 1/2 2/3 2/3 Decimals that repeat or terminate Decimals that repeat or terminate

10. Irrational Numbers (Q) Numbers that cannot be expressed as ratios. Numbers that cannot be expressed as ratios. Decimals that do not repeat or terminate. Decimals that do not repeat or terminate..1382846357108895.1382846357108895 3.12654898703560508004584 3.12654898703560508004584

11. Real Numbers