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

2. Two Kinds of Real Numbers
• Rational Numbers
• Irrational Numbers

3. Two Kinds of Real Numbers
• Rational Numbers
• Irrational Numbers

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

5. Examples of Rational
Numbers
•16 •-8
•1/2 •1.3333…
•3.56 •- 3/4

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

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

8. Integers
One of the subsets of rational
numbers

9. What are integers?
• Integers are the whole numbers and their
opposites.
• Examples of integers are
6
-12
0
186
-934

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

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

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

13. Example 1:
Graphing and Comparing integers.
0 and -4
3 and - 13

14. Example 2:
Order the numbers from least to
greatest.
-0.01, 0.1, 0, 1/10
-3/5, -0.4, -1, -0.5

15. Example 3
Find the opposite and absolute value
a = 10 a = -7.7