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Published byMerryl Charles Modified over 7 years ago

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

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**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?

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

Ex.

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**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

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Examples Rational Irrational

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

-1, 3.5, …., π, -13, 20, …, …, Rational Irrational

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

Ex) √16=___ Ex) √36=___ Ex) √81=___

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

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**Rational or Irrational?**

4/7 2) √3 3) … 4) ) √ ) π

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**Write down a number (rational or irrational)**

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**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

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**Replace each ___ with <,>, or =.**

7.) -.75___3/4 8) 3/8___ ) 5/3___1.666… 10) -10+6___4(2)(-3)

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