We know that there are infinite rational numbers between any two numbers.
As we have to find 5 rational numbers between \(\frac{3}{5}\) and \( \frac{4}{5}\)
So, multiply and divide by 6 (Or any number greater than 5)
\(\frac{3}{5}\) = \( \frac{3}{5}\times\frac{6}{6}\) = \( \frac{18}{30}\)
\( \frac{4}{5}=\frac{4}{5}\times \frac{6}{6}=\frac{24}{30}\)
Thus the 5 rational numbers are \( \frac{19}{30},\frac{20}{30},\frac{21}{30},\frac{22}{30},\frac{23}{30}\)
1 year agoVisualise 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.