Class 8 Mathematics – Rational Numbers – Test – 2

1. Which property is shown by \( a + (b + c) = (a + b) + c \)?

2. Simplify using distributive property: \( \frac{-3}{7} \times \left(\frac{14}{15} + \frac{7}{10}\right) \)

3. Simplify: \( \frac{-4}{5} \times \frac{15}{16} + \frac{1}{4} \)

4. Simplify: \( \left(\frac{-3}{4} + \frac{5}{6}\right) \times 12 \)

5. What should be subtracted from \( \frac{3}{5} \) to get \( \frac{-7}{10} \)?

6. Which rational number is greater?

7. Arrange in ascending order: \( \frac{-2}{3}, \frac{5}{-8}, \frac{-7}{12}, \frac{1}{4} \)

8. Which rational number lies between \( \frac{2}{3} \) and \( \frac{3}{4} \)?

9. The standard form of \( \frac{-84}{126} \) is:

10. The additive inverse of \( \frac{19}{-23} \) is:

11. The multiplicative inverse of \( \frac{-13}{17} \) is:

12. If \( x + \frac{-7}{12} = \frac{5}{8} \), then \( x \) is:

13. Simplify: \( \frac{7}{8} \div \frac{-14}{15} \)

14. Simplify: \( \frac{9}{10} - \left(\frac{2}{5} + \frac{-7}{20}\right) \)

15. Simplify: \( \frac{-5}{6} + \frac{11}{9} - \frac{7}{18} \)