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.