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Name____________________________________________Date______________Unit 1-2: Rational -vs- IrrationalRational Number: a number that can be expressed(written) as a fraction, where the denominator is not equal to zero. (includes repeating decimals and terminating decimals)Irrational Number: a number that cannot be expressed(written) as a fraction. (includes non-terminating decimals and non-repeating decimals)Opening Exercise: Given the definitions above determine whether the following numbers are rational or irrational. (Be prepared to explain your responses.)1043a. Which number is rational?1)2)3)4)b. Which is a rational number?1)2)3)4)c. Which expression is rational?1)2)3)4)d. Which is an irrational number?1)2)3)4)e. Which is an irrational number?1)02)3)4)f. The number 0.14114111411114 . . . is1)integral 2)rational 3)irrational4)wholeg. Which expression represents an irrational number?1)2)3)0.174)0h. Which number is irrational?1)2)3)0.33334)i. Which is an irrational number?1)2)3)4)j. Which number is irrational?1)2)3)4)Discovery ZoneDirections: Given the following numbers determine whether each is rational or irrational. Then determine whether the sum and product of each number is rational or irrational. 12Rational/ Irrational4Rational/ IrrationalSUM = __________________Rational/ IrrationalPRODUCT=__________________Rational/ Irrational 3Rational/ Irrational57Rational/ IrrationalSUM = __________________Rational/ IrrationalPRODUCT=__________________Rational/ Irrational 4Rational/ Irrational3Rational/ IrrationalSUM = __________________Rational/ IrrationalPRODUCT=__________________Rational/ Irrational 23Rational/ Irrational5Rational/ IrrationalSUM = __________________Rational/ IrrationalPRODUCT=__________________Rational/ IrrationalConclusions:The sum of a _______________________________ and an _______________________Is _______________________________.The sum of a _______________________________ and an _______________________Is _______________________________.The product of a _____________________________and an _______________________Is _______________________________.The product of a _____________________________and an _______________________Is _______________________________.PracticeState whether is rational or irrational. Explain your answer.Is the sum of and rational or irrational? Explain your answer.Determine if the product of and is rational or irrational. Explain your answer.Is the product of and rational or irrational? Explain your reasoning.A teacher wrote the following set of numbers on the board: Explain why is irrational, but is rational. ................
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