Question

Insert two rational numbers between

(i) 6 and 7

(ii) 4.8 and 6

(iii) 2.7 and 6.3

Answer 1

$\left(i\right)6and7\text{Given numbers =6 ~and~7}=6,\frac{6+7}{2},7\text{(Inserting one rational numberbetween 6 and 7)}=6,\frac{13}{2},7=6,6.5,7=6,\frac{6+6.5}{2},6.5,7=6,6.25,6.5,7\therefore Reqruiredratinalnumbersbetween6and7are=6.25and6.5$ $\left(ii\right)4.8and6\text{Given numbers =4.8 and 6}=4.8,\frac{4.8+6}{2},6=4.8,5.4,6\text{(Insert one rational number 4.8 and 6)}=4.8,\frac{4.8+5.4}{2},5.4,6=4.8,5.1,5.4,6\therefore \text{Required ratinal numbers between 4.8 and 6 are=5.1 and 5.4}\left(iii\right)2.7and6.3\text{Given numbers =2.7 and 6.3}=2.7,\frac{2.7+6.3}{2},6.3=2.7,4.5,6.3=2.7,4.5\frac{4.5+6.3}{2},4.5,6.3=2.7,4.5,5.4,6.3\therefore \text{Required ratinal numbers between 2.7 and 6.3 are 4.5 and 5.4}$