Tuesday, July 27, 2010

Exercise 1.1

Q1)Is zero a rational number? Can you write it in the form, where p and are integers and q ≠ 0?
Ans.Yes. Zero is a rational number as it can be represented asetc.
Question 2:
Find six rational numbers between 3 and 4.
Ans.There are infinite rational numbers in between 3 and 4.
3 and 4 can be represented asrespectively.
Therefore, rational numbers between 3 and 4 are


Question 3:
Find five rational numbers between.

Ans.
There are infinite rational numbers between.
Therefore, rational numbers betweenare

Question 4:
State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number.

Ans.
(i) True; since the collection of whole numbers contains all natural numbers.
(ii) False; as integers may be negative but whole numbers are positive. For example: −3 is an integer but not a whole number.
(iii) False; as rational numbers may be fractional but whole numbers may not be. For example:  is a rational number but not a whole number.