Q.1. Write the following in decimal form and say what kind of decimal expansion each has:(i) 36/100, (ii) 1/11, (iii) 41/8 , (iv) 3/13, (v) 2/11, (vi) 329/400 ; Q.2. You know that 1/7 = 0.142857. Can you predict what the decimal expansions of 2/7, 3/7, 4/7, 5/7, 6/7 are, without doing the long division? If so, how?[Hint: Study the remainder while finding the value of 1/7 carefully.]; Q.3. Express the following in the form of p/q, where p and q are integers and q ≠ 0. (i) 0.6, (ii) 0.47, (iii) 0.001; Q.4. Express 0.99999…. in the form of p/q . Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.; Q.5. What can the maximum number of digits that can be in the repeating block of digits in the decimal expansion of 1/17 ? Perform the division to check your answer? Q.6. Look at several examples of rational numbers in the form p/q (q≠0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy? Q.7. Write three numbers whose decimal expansions are non-terminating non-recurring. Q.8. Find three different irrational numbers between the rational numbers 5/7 and 9/11. Q.9. Classify the following numbers as rational or irrational: (i) √23, (ii)√225, (iii) 0.3796, (iv) 7.478478, (v) 1.101001000100001…
