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1 eee, Q. 2. You know that ae 0.142857, Can you predict what the di, , 2.34 S26 y :, 7°97 7° 7° 7 ave, without actually doing the long division ?

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£ : zi, Q. 4. Express 0-99999... in the form 7 Are you surprised by your answer ? Disc, why the answer makes sense., , overs sense eee eee eeenneeeneesneeeeeeeeereseneeeeeerteesteeeeeeseeeene, , svecevesecsessesecices fete e eee e scence eee en seeeeseeeesereeeueeneeeeeneerseneseeene!, , , , What can the maximum number of digits be in the repeating block of digits, , 1, the decimal expansion of ry ? Perform the division to check your answer.

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Q. 6. Look at several examples of rational numbers in the form °(q ¢ 9), where p, , and q are integers with no common factors other than 1 and terminat, , ing decimal representations (expansions). Can you guess what property ¢ must, satisfy ?, , SON ee ANA aces eeneeeenecensaseneccessuaneceseneneusessbeseceunsawonees nena,, , , , , , 5 2, & ©. 7. Find three different irrational numbers between rational mumbers — =