Ncert solutions mathematics class 7 Solutions for Chapter 9 rational numbers

Exercises in Chapter 9 rational numbers Grade 7

Exercise 9.1

Exercise 9.2

Questions in Exercise 9.1

Q1) List five rational numbers between:

(i) –1 and 0 (ii) –2 and –1 (iii) $-\frac{4}{5}\ and\ -\frac{2}{3}$

(iv) $-\frac{1}{2}\ and\ \frac{2}{3}$

List Five Rational Numbers between:

-1 and 0

List Five Rational Numbers between:

-2 and -1

Find the Sum:

$-2\frac{1}{3}\$ + $4\frac{3}{5}$

Write four more rational numbers in each of the Following patterns:

-1/4, -2/8, -3/12, …..

Q2. Write four more rational numbers in each of the following patterns:

(i) $\frac{-3}{5},\ \frac{-6}{10},\ \frac{-9}{15},\ \frac{-12}{20}$

(ii) $\frac{-1}{4},\ \frac{-2}{8},\ \frac{-3}{12}.....$

(iii) $\frac{-1}{6},\ \frac{2}{-12},\ \frac{3}{-18},\ \frac{4}{-24}......$

(iv) $\frac{-2}{3},\ \frac{2}{-3},\ \frac{4}{-6},\ \frac{6}{-9}.....$

Q3) Give the rational numbers equivalent to:

(i) $\frac{-2}{7}$

(ii) $\frac{5}{-3}$

(iii) $\frac{4}{5}$

Give four Rational numbers Equivalent to:

4/9

Give four rational numbers Equivalent to:

-2/7

Draw the number line and represent the following rational numbers on it:

Q4) Draw the number line and represent the following rational numbers on it:

(i) $\frac{3}{4}$

(ii) $\frac{-5}{8}$

(iii) $\frac{-7}{4}$

(iv) $\frac{7}{8}$

Q5) The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

Which of the following pairs represent the same rational number?

(-3/5) and (-12/20)

Q6)Which of the following pairs represent the same rational number?

(i) $-\frac{7}{21}\ and\ \frac{3}{9}$

(ii) $-\frac{16}{20}\ and\ \frac{20}{-25}$

(iii) $\frac{-2}{-3}\ and\ \frac{2}{3}$

(iv) $\frac{-3}{5}\ and\ \frac{-12}{20}$

(v) $\frac{8}{5}\ and\ \frac{-24}{15}$

(vi) $\frac{1}{3}and\ \frac{-1}{9}$

(viii) $\frac{-5}{-9}and\ \frac{5}{-9}$

Which of the following pairs represent the same rational number?

(8/-5) and (-24/15)

Which of the following pairs represent the same rational number?

(-7/21) and (3/9)

Which of the following pairs represent the same rational number?

(-5/-9) and (5/-9)

Which of the following pairs represent the same rational number?

(-2/-3) and (2/3)

Which of the following pairs represent the same rational number?

(1/3) and (-1/9)

Rewrite the following rational numbers in the simplest form:

25/45

Q7) Rewrite the following rational numbers in the simplest form:

(i) $\frac{-8}{6}$

(ii) $\frac{25}{45}$

(iii) $\frac{-44}{72}$

(iv) $\frac{-8}{10}$

Rewrite the following rational numbers in the simplest form:

-44/72

Rewrite the following rational numbers in the simplest form:

-8/10

Fill in the boxes with the correct symbol out of >, <, and =.

0 [ ] -7/6

Fill in the boxes with the correct symbol out of >, <, and =.

-5/7 [ ] 2/3

Q8) Fill in the boxes with the correct symbol out of >, <, and =.

(i) $-\frac{5}{7}\square\ \frac{2}{3}$

(ii) $-\frac{4}{5}\square\ -\frac{5}{7}$

(iii) $-\frac{7}{8}\square\ \frac{14}{-16}$

(iv) $-\frac{8}{5}\square\ -\frac{7}{4}$

(v) $\frac{1}{-3}\square\ \frac{-1}{4}$

(vi) $\frac{5}{-11}\ \square\ \frac{-5}{11}$

(vii) $0\ \square\ \frac{-7}{6}$

(viii) $0\ \square\ -\frac{7}{6}$

Fill in the boxes with the correct symbol out of >, <, and =.

-4/5 [ ] -5/7

Q9) Which is greater in each of the following:

(i) $\frac{2}{3},\ \frac{5}{2}$

(ii) $-\frac{5}{6},\ -\frac{4}{3}$

(iii) $-\frac{3}{4},\ \frac{2}{-3}$

(iv) $-\frac{1}{4},\ \frac{1}{4}$

(v) $-3\frac{2}{7\ },\ -3\frac{4}{5}$

Which is Greater in each of the Following:

-3/4, 2/-3

Q10) Write the following rational numbers in ascending order:

(i) $\frac{-3}{5},\ \frac{-2}{5},\ \frac{-1}{5}$

(ii) $\frac{1}{3},\ \frac{-2}{9},\ \frac{-4}{3}$

(iii) $\frac{-3}{7},\ \frac{-3}{2},\ \frac{-3}{4}$

Questions in Exercise 9.2

Find the Sum:

(-8/19) + (-2/57)

Find the Sum:

(-9/10) + (22/15)

Find the Sum:

(-3/-11) + (5/9)

Find the Sum:

-2/3 + 0

Q1) Find the sum:

(i) $\frac{5}{4}+\left(-\frac{11}{4}\right)$

(ii) $\frac{5}{3}+\frac{3}{5}$

(iii) $\frac{-9}{10}+\ \frac{22}{15}$

(iv) $\frac{-3}{11}+\frac{5}{9}$

(v) $\frac{-8}{19}+\left(-\frac{2}{57}\right)$

(vi) $-\frac{2}{3}+0$

(vii) $-2\frac{1}{3}\ +\ 4\frac{3}{5}$

Find :

-6/13 – (-7/15)

Q2) Find

(i) $\frac{7}{24\ }-\ \frac{17}{36}$

(ii) $\frac{5}{63}-\ \left(-\frac{6}{21}\right)$

(iii) $-\frac{6}{13}\ -\ \left(-\frac{7}{15}\right)$

(iv) $-\frac{3}{8}-\ \frac{7}{11}$

(v) $-2\frac{1}{9}\ -\ 6\$

Find :

5/63 – (-6/21)

Find the Product:

(-6/5) × (9/11)

Q3) Find the product:

(i) $\frac{9}{2}\times\left(-\frac{7}{4}\right)$

(ii) $\frac{3}{10}\times\ \left(-9\right)\$

(iii) $-\frac{6}{5}\times\frac{9}{11}$

(iv) $\frac{3}{7}\times\left(-\frac{2}{5}\right)$

(v) $\frac{3}{11}\times\ \frac{2}{5}$

(vi) $\frac{3}{-5}\times\left(-\frac{5}{3}\right)$

Find the Product:

(9/2) × (-7/4)

Find the Product:

(3/-5) × (-5/3)

Find the Product:

(3/10) × (-9)

Q4) Find the value of:

(i) $\left(-4\right)\div\frac{2}{3}$

(ii) $-\frac{3}{5}\div2$

(iii) $-\frac{4}{5}\div\left(-3\right)$

(iv) $-\frac{1}{8}\div\frac{3}{4}$

(v) $-\frac{2}{13}\div\frac{1}{7}$

(vi) $-\frac{7}{12}\div\left(-\frac{2}{13}\right)$

(vii) $\frac{3}{13}\div\left(-\frac{4}{65}\right)$

Find the Value of:

(-7/12) ÷ (-2/13)

Find the Value of:

(-4) ÷ (2/3)

Find the Value of:

(-3/5) ÷ 2

Find the Value of:

(-4/5) ÷ (-3)

Was This helpful?

Chapters in this book

Integers

Fractions and Decimals

Data Handling

Simple Equations

Lines and Angles

The Triangle and its properties

Congruence of Triangles

Comparing Quantities

Rational Numbers

Practical Geometry

Perimeter and Area

Algebraic Expressions

Exponents and Powers

Symmetry

Visualising Solid Shapes