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Math 8 Name ______________________________________________ #______ Rational and Irrational Numbers Practice WS (1) Organize the list of numbers below into the correct categories of rational or irrational number. √ 23 0. 45 −√ 16 4 5 2. 5 105.734 π 2.14589209348 5… −14 √ 64 −√ 120 3 √ 10 − 3 √ 8 1.5 1 2 9 Rational Numbers Irrational Numbers (2) Complete these sentences to explain the reasoning behind some of your choices. (a) I identified √ 23 as a(n) ________________________ number because _____________________________________________ ___________________________________________________________________________ _____________________________________________. (b) I identified − 3 √ 8 as a(n) _______________________ number because _____________________________________________ ___________________________________________________________________________ _____________________________________________.
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Math 8 Name ______________________________________________ #______Rational and Irrational Numbers Practice WS
(1) Organize the list of numbers below into the correct categories of rational or irrational number.
√23 0.45 −√1645 2.5
105.734 π 2.145892093485… −14 √64
−√120 3√10 −3√8 1.5 1 29
Rational Numbers Irrational Numbers
(2) Complete these sentences to explain the reasoning behind some of your choices.
(a) I identified √23 as a(n) ________________________ number because _____________________________________________
________________________________________________________________________________________________________________________.
(b) I identified −3√8 as a(n) _______________________ number because _____________________________________________
________________________________________________________________________________________________________________________.
(c) I identified 0.45 as a(n) ________________________ number because ____________________________________________
________________________________________________________________________________________________________________________.
(3) Let’s practice estimating square roots a little bit more. (Drawing a number line may help you answer these questions.)
(a) What is the sum of all the integers between √5 and √42?
(b) What is the sum of all the integers between √20 and √143?
