1. (as opposed to fake numbers?)
Unit 1 REAL NUMBERS
(as opposed to fake numbers?)

2. Real Numbers
A real number is a
rational or an irrational
number

3. Two Kinds of Real Numbers
Rational Numbers
Irrational Numbers

4. Irrational Numbers
An irrational number is a number that cannot be written as a ratio(fraction) of two integers.
Irrational numbers written as decimals are non-terminating and non-repeating.

5. Examples of Irrational Numbers
Square roots of non-perfect “squares” Pi 17

6. Counting Numbers or Natural numbers
One of the subsets of rational numbers

7. What are counting numbers?
Numbers that you can count.
You can not “Count” zero
1, 2, 3, 4, 5, ……… (and so on)

8. Whole Numbers
The next set of numbers

9. What are whole numbers? Counting numbers and……. ZERO!!!!
0, 1, 2, 3, 4, 5, ……… (and so on)

10. AN even bigger subset of rational numbers
Integers
AN even bigger subset of rational numbers

11. What are integers? Integers are the whole numbers and their opposites.
(& so on) -4,-3,-2,-1, 0, 1, 2, 3, 4, 5,… (& so on)

12. Integers are rational numbers because they can be written as fraction with 1 as the denominator.

13. Rational Numbers
A rational number is a real number that can be written as a ratio of two integers(fraction).
A rational number written in decimal form is terminating or repeating.

14. Examples of Rational Numbers16
1/2
3.56 -8
1.3333…
- 3/4

15. Create your OWN
Create your own representation of the real number system for how you will remember sets and subsets of real numbers.
Examples: Diagram, song, Poem, etc.
GET CREATIVE with your group
Due Friday August 26th.

16. Ordering Numbers Put the following numbers in ascending order.
Draw the number line below in your journal and place the numbers on the number line.

17. Scientific Notation Day 1
Ah Ha! Convert between standard decimal notation and scientific notation.

18. Scientific Notation Day 2
Ah Ha! Convert between standard decimal notation and scientific notation.