AP State Syllabus AP Board 8th Class Maths Solutions Chapter 1 Rational Numbers Ex 1.2 Textbook Questions and Answers.

## AP State Syllabus 8th Class Maths Solutions 1st Lesson Rational Numbers Exercise 1.2

Question 1.

Represent these numbers on the number line.

(i) \(\frac{9}{7}\)

(ii) \(-\frac{7}{5}\)

Solution:

(i) \(\frac{9}{7}\)

(ii) \(-\frac{7}{5}\)

Question 2.

Represent \(-\frac{2}{13}, \frac{5}{13}, \frac{-9}{13}\) on the number line.

Solution:

Question 3.

Write five rational numbers which are smaller than \(\frac{5}{6}\)

Solution:

The rational number which are less than

\(\frac{5}{6}=\left\{\frac{4}{6}, \frac{3}{6}, \frac{2}{6}, \frac{1}{6}, \frac{0}{6}, \frac{-1}{6}, \frac{-2}{6} \ldots \ldots .\right\}\)

Question 4.

Find 12 rational numbers between -1 and 2.

Solution:

Question 5.

Find a rational number between \(\frac{2}{3}\) and \(\frac{3}{4}\)

[Hint : First write the rational numbers with equal denominators.]

Solution:

The given rational numbers are \(\frac{2}{3}\) and \(\frac{3}{4}\)

\(\frac{2}{3} \times \frac{4}{4}=\frac{8}{12}, \frac{3}{4} \times \frac{3}{3}=\frac{9}{12}\)

The rational numbers between \(\frac{8}{12}, \frac{9}{12}\) is

\(\frac{\left(\frac{8}{12}+\frac{9}{12}\right)}{2}=\frac{\frac{17}{12}}{2}=\frac{17}{24}\)

(∵ the rational number between a, b is \(\frac{a+b}{2}\) )

∴ the rational number between \(\frac{2}{3}\) and \(\frac{3}{4}\) is \(\frac{17}{24}\)

Question 6.

Find ten rational numbers between \(-\frac{3}{4}\) and \(\frac{5}{6}\)

Solution:

The 10 rational numbers between \(-\frac{9}{12}\) and \(\frac{10}{12}\) are

∴ We can select any 10 rational numbers from the above number line.