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Rational and Irrational Numbers

Rational and Irrational Numbers. Rational Numbers. Can be put in fractional form The decimal form of the number either terminates (ends) or repeats. Counting numbers , whole numbers , integers and non-integers are all rational . Rational Numbers. Examples:

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Rational and Irrational Numbers

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  1. Rational and Irrational Numbers

  2. Rational Numbers • Can be put in fractional form • The decimal form of the number either terminates (ends) or repeats. • Counting numbers, whole numbers, integers and non-integers are all rational.

  3. Rational Numbers Examples: • Counting numbers {1,2,3,4,5…} • Whole numbers {0,1,2,3,4,5…} • Integers {…-3,-2,-1,0,1,2,3,4,5…} • Non-integers {5.25, 0.6, 0.18181818, -9.261 Repeating Decimal Terminating decimal

  4. Irrational Numbers • Can NOT be written as a fraction. • The decimal form of the number never terminates and never repeats.

  5. Irrational Numbers • Example: • Pi π3.141592654…… Does not terminate, does not repeat.

  6. Real Number System Real Numbers Rational Numbers Irrational Numbers IntegersNon-Integers Whole #sNegative Integers

  7. Practice: Rational or Irrational? Write whether each number is rational or irrational. • -23.75 _________ • 4.750918362… __________ • ⅝ ____________ • 1,469,000 ___________ • ¼ __________ • √15 ___________

  8. Answers • -23.75 Rational • 4.750918362… Irrational • ⅝ Rational • 1,469,000 Rational • ¼ Rational • √15 Irrational

  9. Write all the numbers that are Rational. √81 -9 0.25189687…. 3.66 √2 Rational: √81 -9 3.66

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