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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 708 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Is 3/4 positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −2/3 or −1/7? (a) −2/3 (b) −1/7
  3. 3.What is 7/8 + (−4/5)? (a) 3/13 (b) −3/40 (c) 3/40 (d) 67/40
  4. 4.What is 3/5 + (−3/5)? (a) 0 (b) 6/5
  5. 5.Which is smaller: −2/3 or 5/9? (a) −2/3 (b) 5/9
  6. 6.What is (−1/2) − (−4/5)? (a) −3/10 (b) 3/7 (c) 3/10 (d) −13/10
  7. 7.Which is bigger: −2/9 or 1/5? (a) 1/5 (b) −2/9
  8. 8.What is (−2/3) + 7/8? (a) 5/11 (b) 5/24 (c) −5/24 (d) −37/24
  9. 9.What is (−5/9) + 3/5? (a) −2/45 (b) −1/7 (c) −52/45 (d) 2/45
  10. 10.What is (−1/3) − 3/4? (a) 13/12 (b) −13/12 (c) −4/7 (d) 5/12
  11. 11.What is (−2/5) + 6/7? (a) −16/35 (b) −44/35 (c) 1/3 (d) 16/35
  12. 12.What is the additive inverse of 3/7? (a) 3/7 (b) −7/3 (c) 7/3 (d) −3/7
  13. 13.Is 7/4 positive or negative? (a) Negative (b) Positive
  14. 14.Is 3/2 positive or negative? (a) Negative (b) Positive
  15. 15.Which is smaller: −1/6 or 1/3? (a) 1/3 (b) −1/6
  16. 16.What is (−4/5) − 4/7? (a) −2/3 (b) −48/35 (c) 48/35 (d) −8/35
  17. 17.Which is bigger: −1/2 or 5/6? (a) −1/2 (b) 5/6
  18. 18.What is 7/8 − (−3/8)? (a) 5/8 (b) 1/2 (c) −5/4 (d) 5/4
  19. 19.What is (−7/8) − (−5/6)? (a) −1/24 (b) −41/24 (c) −1/7 (d) 1/24
  20. 20.Which is bigger: −2/7 or 2/9? (a) −2/7 (b) 2/9
  21. 21.Which is bigger: −1/6 or 1/3? (a) 1/3 (b) −1/6
  22. 22.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  23. 23.What is (−4/5) + 6/7? (a) 1/6 (b) −58/35 (c) 2/35 (d) −2/35
  24. 24.Which is bigger: −4/7 or 4/9? (a) −4/7 (b) 4/9
  25. 25.What is the additive inverse of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  26. 26.Which is bigger: −4/9 or −5/9? (a) −5/9 (b) −4/9
  27. 27.What is (−8/9) + 6/7? (a) −110/63 (b) 2/63 (c) −2/63 (d) −1/8
  28. 28.Which is smaller: −1/8 or −1/5? (a) −1/8 (b) −1/5
  29. 29.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −1/8 or −1/7? (a) −1/8 (b) −1/7
  31. 31.What is the additive inverse of −4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  32. 32.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  33. 33.What is (−1/5) − 1/6? (a) 11/30 (b) −11/30 (c) −1/30 (d) −2/11
  34. 34.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−2/3) − (−3/4)? (a) −1/12 (b) −17/12 (c) 1/7 (d) 1/12
  36. 36.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  37. 37.What is (−7/8) + 2/5? (a) −51/40 (b) −19/40 (c) −5/13 (d) 19/40
  38. 38.Which is bigger: −3/8 or −2/9? (a) −3/8 (b) −2/9
  39. 39.What is (−1/8) + 1/4? (a) −1/8 (b) −3/8 (c) 1/8 (d) 0
  40. 40.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −4/12 (c) −3/1 (d) −1/3

Answer key

  1. Positive
  2. −1/7
  3. 3/40
  4. 0
  5. −2/3
  6. 3/10
  7. 1/5
  8. 5/24
  9. 2/45
  10. −13/12
  11. 16/35
  12. −3/7
  13. Positive
  14. Positive
  15. −1/6
  16. −48/35
  17. 5/6
  18. 5/4
  19. −1/24
  20. 2/9
  21. 1/3
  22. 9/5
  23. 2/35
  24. 4/9
  25. −1/5
  26. −4/9
  27. −2/63
  28. −1/5
  29. Negative
  30. −1/7
  31. 4/5
  32. 5/2
  33. −11/30
  34. Positive
  35. 1/12
  36. 2
  37. −19/40
  38. −2/9
  39. 1/8
  40. −1/3

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