NCERT class 9 maths chapter 1 Number Systems
Question 1:Write the following in decimal form and say what kind of decimal expansion each has : (i) 36 100 (ii) 1 11 (iii) 1 4 8 (iv) 3 13 (v) 2 11 (vi) 329 400
Exercise 1.3 maths class 9 Chapter 1 Number Systems
Question 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 actually doing the long division? If so, how? [Hint : Study the remainders while finding the value of 1 7 carefully.]
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Question 3:Express the following in the form p q , where π and q are integers and q 0. (i) 0.6 (ii) 0.47 (iii) 0.001
class 9 maths solutions Number Systems
Question 4:Express 0.99999 .... in the form p q . Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
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Question 5:What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1 17 ? Perform the division to check your answer.
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Question 6:Look at several examples of rational numbers in the form p q (q 0), where π 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?
class 9 Maths NCERT Solutions Chapter 1 Number Systems Exercise 1.3
Question 7:Write three numbers whose decimal expansions are non-terminating non-recurring.
Exercise 1.3 class 9 Math ncert solutions Chapter 1
Question 8:Find three different irrational numbers between the rational numbers 5 7 and 9 11 .
Question 9:Classify the following numbers as rational or irrational : (i) 23 (ii) 225 (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...