Ncert solutions mathematics class 7 Solutions for Chapter 9 rational numbers

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:

¾

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}

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)