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Name of Studer’, , , , : Date ., an, , , , ‘Solythe following questions : : Based on ea, é 1. Write any two of the following in decimal form and say what kind Of dec; 7, expansion each has:, , aeeoe ye sult SS, (i) 100 (ii) i (iii) 4, aah 2 329, his ) ay @) ae, , , , QO: Xoulmow that — —0.140855, hat | = 0.142857. Can you predict what the decimal expansions

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P, Q. 3. Express any one of the following in the form 7 where p and q are integers and, , @® 0.6 (ii) 0.47 (iii) 0.001.

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; 8 P, Q.4. Express 0-99999... in the form aq Are you surprised by, , your answer ? Dis, , why the answer makes sense,

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Q.6. Look at several examples of rational numbers in the form 2q #0), where p, , and q are integers with no common factors other than 1 and having terminating decimal representat:, , tisfy ? ions (expansions). Can you guess what property q must, satisfy ?, , , , 5, Q.7. Find three different irrational numbers between rational numbers — and —: