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1. NCERT Solutions - Mathematics , Class 8

CHAPTERS

1. Rational Numbers

2. Linear Equations in One Variable

3. Understanding Quadrilaterals

4. Data Handling

5. Squares and Square Roots

6. Cubes and Cube Roots

7. Comparing Quantities

8. Algebraic Expressions and Identities

9. Visualising Solid Shapes

10. Mensuration

11. Exponents and Powers

12. Direct and Inverse Proportions

13. Factorisation

14. Introduction to Graphs

15. Playing with Numbers

EXERCISES

1. Exercise 1.1

2. Exercise 1.2.2

Q1) Using appropriate properties find.

(i) -\frac{2}{3}\ \times\ \frac{3}{5}\ +\ \frac{5}{2}-\frac{3}{5}\times\frac{1}{6}

(ii) \frac{2}{5}\times\left(-\frac{3}{7}\right)-\frac{1}{6}\times\frac{3}{2}+\frac{1}{14}\times\frac{2}{5}

Q2) Write the additive inverse of each of the following.

(i)\frac{2}{8}

(ii)\frac{-5}{9}

(iii)\frac{-6}{-5}

(iv)\frac{2}{-9}

(v)\frac{19}{-6}

Q3) Verify that – (– x) = x for

(i) x= \frac{11}{15}

(ii) x= - \frac{13}{17}

Q4) Find the multiplicative inverse of the following.

(i) – 13

(ii)\frac{-13}{19}

(iii) \frac{1}{5}

(iv) \frac{-5}{8}\times\ \frac{-3}{7}

(v) -1 \times\frac{-2}{5}

(vi) -1

Q5) Name the property under multiplication used in each of the following.

(i) \frac{-4}{5}\times1=1\times\frac{-4}{5}=\ \frac{-4}{5}

(ii) \frac{-13}{17}\times\frac{-2}{7}=\ \frac{-2}{7}\times\ \frac{-13}{17}

(iii) \frac{-19}{29}\ \times\ \frac{29}{-19}=\ 1

Q6) Multiply \frac{6}{13} by the reciprocal of \frac{-7}{16}

Q7) Tell what property allows you to compute \frac{1}{3}\times\left(6\times\frac{4}{3}\right)\ as\ \left(\frac{1}{3}\ \times6\right)\ \times\frac{4}{3}

Q8) Is \frac{8}{9} the multiplicative inverse of -1\frac{1}{8}? Why or why not?

Q9) Is 0.3 the multiplicative inverse of 3\frac{1}{3}? Why or Why not?

Q10) Write.

(i) The rational number that does not have a reciprocal.

(ii) The rational numbers that are equal to their reciprocals.

(iii) The rational number that is equal to its negative.

Q11)Fill in the blanks.

(i) Zero has ________ reciprocal.

(ii) The numbers ________ and ________ are their own reciprocals.

(iii) The reciprocal of – 5 is ______.

(iv) Reciprocal of \frac{1}{x}, where x\ne 0 is __________.

(v) The product of two rational numbers is always a _______.

(vi) The reciprocal of a positive rational number is ________.

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NCERT Solutions - Mathematics , Class 8

Rational Numbers

Linear Equations in One Variable

Understanding Quadrilaterals

Data Handling

Squares and Square Roots

Cubes and Cube Roots

Comparing Quantities

Algebraic Expressions and Identities

Visualising Solid Shapes

Mensuration

Exponents and Powers

Direct and Inverse Proportions

Factorisation

Introduction to Graphs

Playing with Numbers

Exercise 1.1

Exercise 1.2.2

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