Grade VII Maths worksheet on Rational Numbers from the International Indian School Dammam, covering topics like rational number properties, operations, and comparisons.

Final Answer:
1. positive
2. zero
3. infinite
4. $\frac{6x - 7}{5}$
5. $-\frac{9}{11}$
6. 1
7. $\frac{10}{25}, \frac{12}{30}, \frac{14}{35}, \frac{16}{40}$
8. Yes
9. Yes; e.g., $3 = \frac{3}{1}$
10. No; e.g., $\frac{1}{2}$ is rational but not an integer
11. a) $-\frac{3}{4}, -\frac{5}{6}, -\frac{7}{8}, -\frac{9}{10}, -\frac{11}{12}$ (any five between $-\frac{4}{7} \approx -0.571$ and $-\frac{3}{8} = -0.375$)
 b) $-\frac{1}{2}, -\frac{1}{3}, -\frac{1}{4}, -\frac{1}{5}, -\frac{1}{6}$
12. a) $-\frac{2}{5}$ b) $\frac{1}{5}$ c) $\frac{1}{2}$ d) $\frac{5}{11}$
13. a) $\frac{7}{8}, \frac{14}{16}, \frac{21}{24}$ b) $\frac{9}{11}, \frac{18}{22}, \frac{27}{33}$ c) $\frac{3}{5}, \frac{6}{10}, \frac{9}{15}$
14. a) $\frac{2}{3}, -\frac{2}{8}, -\frac{28}{56}$ b) $\frac{8}{5}, \frac{5}{7}, \frac{2}{6}$
15. a) $\frac{2}{3}$ right of 0, $-\frac{4}{3}$ left of 0, $-\frac{8}{5}$ farther left
 b) (same as above — positions depend on value)
16. a) Additive inverse: $-\frac{2}{9}$, Multiplicative inverse: $\frac{9}{2}$
 b) Additive inverse: $-\frac{8}{7}$, Multiplicative inverse: $\frac{7}{8}$
 c) Additive inverse: $-\frac{3}{11}$, Multiplicative inverse: $\frac{11}{3}$
17. a) $4\frac{1}{35}$ b) $-2\frac{11}{77}$ or $-\frac{170}{77}$ c) $-\frac{11}{15}$
18. a) $\frac{1}{6}$ b) $-6\frac{1}{63}$ c) $-1\frac{1}{12}$ d) $-\frac{7}{12}$
19. a) $-\frac{7}{2}$ b) $-\frac{3}{35}$ c) $-\frac{11}{8}$ d) $\frac{2}{3}$
20. a) $-\frac{3}{2}$ b) $\frac{5}{3}$ c) $-\frac{1}{4}$ d) $-\frac{11}{3}$
21. $-\frac{13}{4}$
22. $-\frac{8}{3}$
23. $7\frac{1}{2}$
24. a) $-3\frac{4}{7} < -3\frac{1}{5}$ b) $-\frac{7}{5} < -\frac{3}{5}$