Page No 5:
Question 1:
Is zero a rational number? Can you write it in the form
, where p and q are integers and q ≠ 0?
Page No 8:
Question 2:
Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
Page No 14:
Question 1:
Write the following in decimal form and say what kind of decimal expansion each has:
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
Page No 14:
Question 2:
You know that
. Can you predict what the decimal expansion of 
are, without actually doing the long division? If so, how?
[Hint: Study the remainders while finding the value of 
carefully.]
Page No 14:
Question 4:
Express 0.99999…in the form
. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
Page No 14:
Question 5:
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of
? Perform the division to check your answer.
Page No 14:
Question 6:
Look at several examples of rational numbers in the form 
(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?
Page No 14:
Question 9:
Classify the following numbers as rational or irrational:
(i) 
(ii) 
(iii) 0.3796
(iv) 7.478478
(v) 1.101001000100001…
Page No 24:
Question 1:
Classify the following numbers as rational or irrational:
(i) 
(ii) 
(iii) 
(iv) 
(v) 2π
Page No 24:
Question 3:
Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, 
. This seems to contradict the fact that π is irrational. How will you resolve this contradiction?
(ii) 
(iv) 
(ii) 
(iv) 
(ii) 
(iii) 
(ii) 
(iii) 
(ii) 
(iii) 
