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Warmup. Is 3.121212…rational or irrational? (guess if you don’t know). 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?. A number line represents all real numbers . (not just integers). Ex.

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Warmup
Warmup

Is 3.121212…rational or irrational? (guess if you don’t know)


3 1 rational and irrational numbers

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?


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

Ex.


Warmup

Real numbers can be separated into either rationals or irrationals.

REAL NUMBERS

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


Examples
Examples

Rational Irrational


You try sort the numbers into categories
You try: Sort the numbers into categories

-1, 3.5, -1.1111333242315…., π, -13, 20, 1.13131313…, 9.9834298023…,

RationalIrrational


Square root the square root of a number is one of two identical factors of a number
Square root- the square root of a number is one of two identical factors of a number.

Ex) √16=___

Ex) √36=___

Ex) √81=___


What is 5
What is √5?

(what does your calculator say?)


Rational or irrational
Rational or Irrational?

  • 4/7 2) √3 3) .33333…

    4) -6 5) √6.25 6) π



Warmup
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


Replace each with or
Replace each ___ with <,>, or =. can use a calculator to get the decimal representations)

7.) -.75___3/4 8) 3/8___.374

9.) 5/3___1.666… 10) -10+6___4(2)(-3)