**Rational Numbers**

**Question 1.****Represent these numbers on the number line.(i)**

**(ii)**

**Solution:****(i)** For , we make 7 markings of distance each on the right of zero and starting from 0. The seven marking is .

The point P represents the rational number —.**(ii)** For , we make 5 markings of distance each on the left of zero and starting from 0. The fifth marking The point P represents the 6 rational number .

**Question 2.****Represent on the number line.**

**Solution:**

To represent on a number line, draw a number line and mark a point O on it to represent zero. Now, mark a point P representing integers -1 on the left side of O on the number line.

Divide the segment OP into eleven equal parts. Let A, B, C, D, E, F, G, H, I, J be the points of division so that OA=AB =BC = … = JP. By construction, OB is two-eleventh of OP so B represents OE is five-eleventh of OP so E represents and OI is nine-eleventh of OP so I represents .

**Question 3.****Write five rational numbers, which are smaller than 2.**

**Solution:**

Five rational numbers less than 2 may be taken

(There can be many more such rational numbers.)

**Question 4.****Find ten rational numbers between and .**

**Solution:**

Converting the given rational numbers with the same denominators

**Question 5.****Find five rational numbers between**

**Solution:**

**(i)**Converting the given rational numbers with the same denominators

**(ii)** Converting the given rational numbers with the same denominators

**(iii)** Converting the given rational numbers with the same denominators

**Question 6.****Write five rational numbers greater than – 2.**

**Solution:**

Five rational numbers greater than -2 may be taken as

There can be many more such rational numbers.

**Question 7.****Find ten rational numbers between and .**

**Solution:**

Converting the given rational numbers with the same denominators