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Rational and Irrational Numbers

Rational and Irrational Numbers. Calculator Connection. Use your calculator to find decimal equivalents Look for differences and similarities between the groups. When you are done and your friends are still working brainstorm:

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Rational and Irrational Numbers

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  1. Rational and Irrational Numbers

  2. Calculator Connection • Use your calculator to find decimal equivalents • Look for differences and similarities between the groups. • When you are done and your friends are still working brainstorm: • How can you cut a round pizza into eight equal slices with just 3 cuts?

  3. Group 1 • ¾ 7/8 9/100 13/5 • Group 2 • 1/6 2/7 29/13 11/12 • Group 3

  4. Rational Numbers Irrational Numbers Real Numbers Integers Whole Numbers Natural Numbers

  5. Definitions Natural Numbers • counting numbers from 1,2,3,4,5,................ Whole Numbers • natural numbers including zero. They are 0,1,2,3,4,5,...............Integers set of whole numbers and their opposites. • ..., -3, -2, -1, 0, 1, 2, 3, ..... • Zero is neither positive nor negative, but is both.

  6. Rational Numbers • comes from the word ratio • A number is rational if it can be expressed as a ratio, of two whole numbers • Examples:3/4, 5, 2/7, 3.75, 0.2727..

  7. Irrational Numbers :  • Cannot be expressed as a ratio of integers. • As decimals they never repeat or terminate (rationals always do one or the other) • RealNumbers-rational and irrational numbers • Any number that you can find on the number line. 

  8. Number Natural Whole Integer Rational Irrational Real -7 0.121212… 0.303303330 4/5 0.6666… 6/13

  9. Identify the Natural Number.1. 72. 3/43. -1.24. 0.1212

  10. Which of the following is an integer?1. 72. 03. -104. all of these

  11. Rational • Irrational • negative

  12. Which is true?1. All whole numbers are real.2. All rational numbers are real.3. All of the other4. All irrational numbers are real.

  13. Which of the following is not a natural number?1. 92. 3453. -4 04. none of these

  14. Human Number Line • Each child’s birthday is a fraction • For example nov 8 is • Name any fraction that needs to be simplified • Name any fraction whose value is greater than one

  15. Write a number line using these fractions in order from least to greatest • Is the number greater than ½ or less? • How do you know? • Which birthday create the smallest fraction? • Which number create the largest?

  16. The Psychic Game • 2 points for every even integer • 2 points if the product of all the numbers is negative • 5 points for at least two negative integers • 5 points if one of the numbers is 0 • 10 points if the sum of the natural numbers is greater than 500 • 10 points for at least one pair of opposite numbers

  17. 15 points for at least one negative irrational number • 15 points for at least one rational number between 1 and 2 • 20 points for at least one rational number between -2 and -3 • 25 points for at least one perfect square

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