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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

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?

Ex.

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

Rational Irrational

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.

Ex) √16=___

Ex) √36=___

Ex) √81=___

What is √5?

(what does your calculator say?)

Rational or Irrational?
• 4/7 2) √3 3) .33333…

4) -6 5) √6.25 6) π

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 =.

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

9.) 5/3___1.666… 10) -10+6___4(2)(-3)