1. Is zero a rational number ? Can you write it in the form p/q , where p and q are integers and q ≠ 0? Yes, zero is a rational number. We can write it in the form (p/q). That is zero. 2. Find six rational numbers between 3 and 4. We know that there are an infinite number of rational numbers between two rational numbers. Therefore, six rational numbers between 3 and 4 can be: Let x = 3 and y = 4, also n = 6 Since, the six rational numbers between x and y are: (x + d), (x + 2d), (x + 3d), (x + 4d), (x + 5d) and (x + 6d). ∴ The six rational numbers between 3 and 4 are: 3. Find five rational numbers between (3/5) and (4/5). Let x = (3/5), y = (4/5) and n = 5 ∴ [∴ y > x] ∵ The five rational numbers between ‘x’ and ‘y’ are: (x + d); (x + 2d); (x + 3d); (x + 4d) and (x + 5d). ∴ Five rational numbers between (3/5) and (4/5) are: 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. (i) True statement [∵ The collection of all natural numbers and 0 is called whole numbers] (ii) False statement [∵ Integers such as –1, –2 are non-whole numbers] (iii) False statement [∵ Rational number (1/2) is not a whole number]