1. Warmup
Is …rational or irrational? (guess if you don’t know)

2. 3.1: Rational and Irrational Numbers
LEQ: What is the difference between rational and irrational numbers and how do you graph them on a number line?

3. A number line represents all real numbers. (not just integers)
Ex.

4. Real numbers can be separated into either rationals or irrationals.
A rational number is
any number that can be
expressed as a fraction.
An irrational number is any number with a nonrepeating and neverending decimal

5. Examples
Rational Irrational

6. You try: Sort the numbers into categories
-1, 3.5, …., π, -13, 20, …, …, Rational Irrational

7. Square root- the square root of a number is one of two identical factors of a number.
Ex) √16=___ Ex) √36=___ Ex) √81=___

8. What is √5?
(what does your calculator say?)

9. Rational or Irrational?
4/7 2) √3 3) …
4) ) √ ) π

10. Write down a number (rational or irrational)

11. Put the numbers in order from least to greatest
Put the numbers in order from least to greatest. (hint: you can use a calculator to get the decimal representations)
-2/3, -√2, 1.444…, π, .25, 1/3, √10

12. Replace each ___ with <,>, or =.
7.) -.75___3/4 8) 3/8___ ) 5/3___1.666… 10) -10+6___4(2)(-3)