Students can Download Maths Chapter 7 Rational Numbers Ex 7.4 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka Board Class 8 Maths Chapter 7 Rational Numbers Ex 7.4

1. Represent the following rational numbers on the number line.

Question (i)

\(\frac{-8}{5}=-2 \frac{2}{3}\)

Answer:

Question (ii)

\(\frac { 3 }{ 8 }\)

Answer:

Question (iii)

\(\frac { 2 }{ 7 }\)

Answer:

Question (iv)

\(\frac{12}{5}=2 \frac{2}{5}\)

Answer:

Question (v)

\(\frac{45}{13}=3 \frac{6}{13}\)

Answer:

Question 2.

Write the following rational numbers in ascending order.

\(\frac{3}{4}, \frac{7}{12}, \frac{15}{11}, \frac{22}{19}, \frac{101}{100}, \frac{-4}{5}, \frac{-102}{81}, \frac{-13}{7}\)

LCM of the denominators in 35550900

Answer:

= 66023100 < 44767800 < 2840720 < 20737850 < 26663175 < 35906409 < 41164200 < 48478500

∴\(\frac{-13}{7}<\frac{-102}{81}<\frac{-4}{5}<\frac{7}{12}<\frac{3}{4}<\frac{101}{100}<\frac{22}{19}<\frac{15}{11}\)

Question 3.

Write 5 rational number between \(\frac { 2 }{ 5 }\) and \(\frac { 3 }{ 5 }\) having same denominator.

Answer:

Question 4.

How many positive rational numbers less than 1 are there such that the sum of the denominator and numerator does not exceed 10?

Answer:

\(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{6}, \frac{1}{7}, \frac{1}{9}, \frac{1}{3}, \frac{2}{3}, \frac{2}{3}, \frac{2}{5}, \frac{2}{4}, \frac{3}{4}, \frac{3}{5}, \frac{3}{7}, \frac{4}{5}\)

are lesser than 1. There are 15 rational numbers.

Question 5.

Suppose \(\frac { m }{ n }\) and \(\frac { p }{ q }\) are two positive numbers. Where does \(\frac{m+p}{n+q}\) lie, with respect to \(\frac { m }{ n }\) and \(\frac { p }{ q }\) .

Answer:

Question 6.

How many rational numbers are there strictly between 0 and 1 such that the denominator of the rational number is 80?

Answer:

Rational numbers with denominator 80 and numerator from 1 to 79 \(\left(\text { like } \frac{1}{80}, \frac{2}{80},-\cdots-\frac{79}{80}\right)\)

There are 79 such rational numbers.