## NCERT Solutions for Class 9 Maths Number System Exercise 1.1

**Q1. Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q≠0?**

Sol. Yes. 0= 0/1, 0/2, 0/3, etc., denominator ‘q’ can also be taken as a negative integer.

**Q2. Find six rational numbers between 3 and 4.**

Sol. To find six rational numbers between 3 and 4.

Multiply and Divide 3 and 4 by 7.

we get

**Q3. Find five rational numbers between 3/5and 4/5.**

Sol. To find five rational numbers between 3/5 and 4/5.

Multiply and Divide 3 and 4 by 6.

we get

**Q4. 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.**

Sol. (i) True, Whole Number is the collection of all natural numbers.

(ii) False, Negative integers are not whole numbers.

(iii) False, ½, ⅛, etc. are not whole numbers.

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