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Warmup

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

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  1. Warmup Is 3.121212…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. 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

  5. Examples Rational Irrational

  6. You try: Sort the numbers into categories -1, 3.5, -1.1111333242315…., π, -13, 20, 1.13131313…, 9.9834298023…, RationalIrrational

  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) .33333… 4) -6 5) √6.25 6) π

  10. Write down a number (rational or irrational)

  11. 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___.374 9.) 5/3___1.666… 10) -10+6___4(2)(-3)

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