Question

Insert three rational numbers between

(i) 3 and 4

(ii) 10 and 12

Answer 1

$\left(i\right)3and4\text{Given numbers =3 and 4}=3,\frac{3+4}{2},4=3,3.5,4=3,\frac{3+3.5}{2},3.5,\frac{3.5}{4},4=3,3.25,3.5,3.75,\text{Required ratinal numbers between 3 and 4 are}=3.25,3.5and3.75\left(ii\right)10and12\text{Given numbers =10 and 12}=10,\frac{10+12}{2},12=10,11,12=10,\frac{10+11}{2},11,\frac{11+12}{4},2=10,10,10.5,11,11.5,12,\text{Required ratinal numbers between 10 and 12 are}=10.5,11,11.5$