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Rational/ Irrational #’s Absent Copy Thurs/Fri 3/7,8

Rational/ Irrational #’s Absent Copy Thurs/Fri 3/7,8.

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Rational/ Irrational #’s Absent Copy Thurs/Fri 3/7,8

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  1. Rational/ Irrational #’sAbsent CopyThurs/Fri 3/7,8

  2. Rational #’sWhole #’s Counting #’s and zero0,1,2,3,4,5………..Integersneg. and pos. numbers and 0 -5,-4,-3,-2,-1,0,1,2,3,4,5……..Terminating/repeating decimals0.5, 1.45, 3.9 .3333, 3.151515, Fractions(that terminate or repeat)/perfect squares√25, √81, ,

  3. Rational #’s include:All integers, all fractions and decimals that end or repeat 0.3 0.3 Rational #’s Integers Whole #s

  4. Irrational #’s include:Decimals that do not end or repeat and square roots that are not perfect squares. 1. .1823456…….., √3 = 1.732050807Real NumbersRational and irrational #’sNon – Real #’s and 7 0

  5. Example 1 • Write all classifications that apply to this #. -8 10 .80 10 8.00 -80 00 Solution • This # is a? • This is a fraction. • This # is also a? • It is also a Terminating decimal. • Is this # Rationalor Irrational Why?It is rational because terminating decimals are rational. Fraction, terminating decimal, rational #

  6. Example 2 • Write all classifications that apply to this #. 4 • 4 Factor Factor 4 Solution • This # is a? • This is a sq. rt. • What can we do to make this sq. rt. More simple to solve? • We can divide 32 by 2 and get 16. • This # is also an? • This is also a whole # and an integer. • Is this # Rationalor Irrational Why?It is rational because integers and whole #’s are part of the rational family. Whole #, Integer, Rational #

  7. Example 3 • Is this # rational, irrational, or not real. - 4 • 4 factor factor -4 Solution • Is this a perfect square? • Yes it is. • What else can we call this #? • We can call it an integer. • Is a perfect square irrational or rational Rational #

  8. Example 4 • Is this # rational, irrational, or not real. 5 29 .1724 29 5.0000 -29 210 -203 70 -58 120 -116 Solution • What is this # called? • It is called a fraction. • Is it a repeating decimal or does it terminate or is it a non-repeating decimal? • It is a non-repeating decimal. • Is this # irrational or rational irrational #

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