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Understanding Real Numbers: From Naturals to Irrationals

Explore natural numbers, integers, rational, and irrational numbers with examples and definitions. Learn how to distinguish between these number types and their properties.

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Understanding Real Numbers: From Naturals to Irrationals

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  1. Real Numbers Review

  2. Natural Numbers • Natural numbers: 1,2,3… • By any other name Counting numbers  

  3. A Numbers Skit

  4. Whole Numbers • Just add 0 in the mix • Whole numbers: 0, 1, 2, 3…

  5. Based on the reading what is a rational number?

  6. Integers • Natural numbers, their opposites and zero • Integers: …-3, -2, -1, 0,1,2,3…

  7. Some of the Numbers In-between • Rational numbers: 2/3, -31/2  0.3333… • Can be written as a ratio of two integers. • Repeating decimals, terminating decimals and fractions

  8. Some of the Numbers In-between • Irrational Numbers • 3. 45455455545555… has a pattern but doesn’t repeat. It isn’t rational. • It can’t be written like a fraction. • Square root of 2, Pi and e are also IRRATIONAL

  9. Pi Rational or Irrational .09 0 -8 ⅜ 2.010010001….

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