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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 871 · 40 sums
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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.Which is bigger: −2/7 or 2/9? (a) −2/7 (b) 2/9
  2. 2.Which is bigger: −2/3 or −1/3? (a) −2/3 (b) −1/3
  3. 3.Is 6/8 positive or negative? (a) Negative (b) Positive
  4. 4.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  5. 5.Which is smaller: −3/5 or 4/5? (a) 4/5 (b) −3/5
  6. 6.Is 8/5 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−1/3) + 3/7? (a) −2/21 (b) 2/21 (c) −16/21 (d) 1/5
  8. 8.Is 5/2 positive or negative? (a) Negative (b) Positive
  9. 9.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−5/7) − 6/7? (a) 1/7 (b) −11/14 (c) −11/7 (d) 11/7
  11. 11.Is −3/5 positive or negative? (a) Positive (b) Negative
  12. 12.What is 5/7 − (−8/9)? (a) −101/63 (b) 101/63 (c) 13/16 (d) −11/63
  13. 13.Is −4/3 positive or negative? (a) Negative (b) Positive
  14. 14.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −12/14 (c) −7/6 (d) 6/7
  15. 15.What is the additive inverse of −7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  16. 16.What is 1/7 + (−7/8)? (a) 57/56 (b) −41/56 (c) −2/5 (d) 41/56
  17. 17.Which is smaller: −1/9 or −2/3? (a) −1/9 (b) −2/3
  18. 18.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  19. 19.Which is smaller: −3/7 or −5/9? (a) −3/7 (b) −5/9
  20. 20.Is 7/(−8) positive or negative? (a) Negative (b) Positive
  21. 21.What is 5/6 − (−8/9)? (a) −1/18 (b) 31/18 (c) −31/18 (d) 13/15
  22. 22.Which is smaller: −5/8 or 1/8? (a) 1/8 (b) −5/8
  23. 23.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  24. 24.Is 7/3 positive or negative? (a) Negative (b) Positive
  25. 25.What is 7/9 + (−3/5)? (a) −8/45 (b) 62/45 (c) 8/45 (d) 2/7
  26. 26.What is the additive inverse of −4/9? (a) −9/4 (b) 9/4 (c) 4/9 (d) −4/9
  27. 27.What is (−2/9) − 8/9? (a) −10/9 (b) −5/9 (c) 10/9 (d) 2/3
  28. 28.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  29. 29.What is (−1/3) − 2/5? (a) 1/15 (b) 11/15 (c) −3/8 (d) −11/15
  30. 30.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −6/8 (c) 3/4 (d) −4/3
  31. 31.What is (−1/5) + 2/5? (a) 1/10 (b) −3/5 (c) 1/5 (d) −1/5
  32. 32.What is (−5/7) + (−1/5)? (a) −32/35 (b) −1/2 (c) 32/35 (d) −18/35
  33. 33.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  34. 34.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−4/7) + (−1/4)? (a) 23/28 (b) −23/28 (c) −9/28 (d) −5/11
  36. 36.Which is smaller: −3/5 or −1/4? (a) −1/4 (b) −3/5
  37. 37.What is (−4/5) + (−3/7)? (a) 43/35 (b) −13/35 (c) −7/12 (d) −43/35
  38. 38.What is the additive inverse of −1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5
  39. 39.Which is smaller: −1/2 or 1/8? (a) −1/2 (b) 1/8
  40. 40.What is (−4/5) + (−7/8)? (a) −11/13 (b) −67/40 (c) 67/40 (d) 3/40

Answer key

  1. 2/9
  2. −1/3
  3. Positive
  4. −4
  5. −3/5
  6. Positive
  7. 2/21
  8. Positive
  9. Negative
  10. −11/7
  11. Negative
  12. 101/63
  13. Negative
  14. −6/7
  15. 7/8
  16. −41/56
  17. −2/3
  18. 8/3
  19. −5/9
  20. Negative
  21. 31/18
  22. −5/8
  23. 3/5
  24. Positive
  25. 8/45
  26. 4/9
  27. −10/9
  28. −2/3
  29. −11/15
  30. −3/4
  31. 1/5
  32. −32/35
  33. Positive
  34. Positive
  35. −23/28
  36. −3/5
  37. −43/35
  38. 1/5
  39. −1/2
  40. −67/40

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