We know that there are infinite rational numbers between any two numbers. As we have to find 6 rational numbers between 3 and 4.

So multiply and divide by 7 (or any number greater than 6)

We get, \(3=3\times \frac{7}{7}=\frac{21}{7}\)

\(4=4\times\frac{7}{7}=\frac{28}{7}\)

**Thus the 6 rational numbers are** \( \frac{22}{7},\frac{23}{7},\frac{24}{7},\frac{25}{7},\frac{26}{7},\frac{27}{7}\)

Visualise the representation of \( 5.3\overline{7}\) on the number line upto 5 decimal places, that is upto 5.37777.

Visualise 2.665 on the number line, using successive magnification.

Find whether the following statements are true or false:

**(i) **Every real number is either rational or irrational.

**(ii)** π is an irrational number.

**(iii)** Irrational numbers cannot be represented by points on the number line.