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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 869 · 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.Which is bigger: −3/8 or −1/3? (a) −1/3 (b) −3/8
  2. 2.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −28/36 (b) −7/9 (c) 7/9 (d) −9/7
  3. 3.Which is bigger: −1/7 or −3/8? (a) −3/8 (b) −1/7
  4. 4.Write −4/16 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −4/16 (d) 1/4
  5. 5.What is (−3/5) − 1/4? (a) 17/20 (b) −17/20 (c) −7/20 (d) −4/9
  6. 6.Is −9/5 positive or negative? (a) Negative (b) Positive
  7. 7.Is −2/4 positive or negative? (a) Negative (b) Positive
  8. 8.What is 7/8 − (−3/7)? (a) 25/56 (b) 73/56 (c) 2/3 (d) −73/56
  9. 9.What is (−3/5) + 8/9? (a) −67/45 (b) −13/45 (c) 5/14 (d) 13/45
  10. 10.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −12/21 (d) −4/7
  11. 11.What is (−4/7) − 1/7? (a) −5/14 (b) 5/7 (c) −3/7 (d) −5/7
  12. 12.Is 9/2 positive or negative? (a) Positive (b) Negative
  13. 13.Which is bigger: −2/5 or 7/9? (a) 7/9 (b) −2/5
  14. 14.What is (−1/7) − (−1/3)? (a) −4/21 (b) −10/21 (c) 4/21 (d) 0
  15. 15.What is the additive inverse of 5/7? (a) 7/5 (b) 5/7 (c) −7/5 (d) −5/7
  16. 16.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  17. 17.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  18. 18.What is the additive inverse of −1/6? (a) −1/6 (b) 1/6 (c) 6 (d) −6
  19. 19.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  20. 20.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  21. 21.What is (−8/9) + 2/9? (a) −2/3 (b) −10/9 (c) −1/3 (d) 2/3
  22. 22.Which is bigger: −1/7 or 3/4? (a) 3/4 (b) −1/7
  23. 23.Which is smaller: −5/8 or 2/7? (a) −5/8 (b) 2/7
  24. 24.What is (−4/5) + (−1/4)? (a) 21/20 (b) −11/20 (c) −5/9 (d) −21/20
  25. 25.Which is smaller: −1/5 or 4/9? (a) 4/9 (b) −1/5
  26. 26.Write −12/21 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −12/21
  27. 27.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −12/42 (d) −7/2
  28. 28.What is (−2/7) − (−4/7)? (a) 1/7 (b) −2/7 (c) 2/7 (d) −6/7
  29. 29.What is (−8/9) − 2/3? (a) −5/6 (b) −2/9 (c) 14/9 (d) −14/9
  30. 30.What is (−3/8) − 2/5? (a) −31/40 (b) 31/40 (c) −5/13 (d) 1/40
  31. 31.What is 3/4 − (−1/2)? (a) −5/4 (b) 1/4 (c) 2/3 (d) 5/4
  32. 32.What is (−1/2) + (−7/9)? (a) −23/18 (b) −8/11 (c) 5/18 (d) 23/18
  33. 33.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  34. 34.Which is bigger: −1/8 or −1/3? (a) −1/8 (b) −1/3
  35. 35.What is the additive inverse of 1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  36. 36.What is (−4/7) + 5/6? (a) 1/13 (b) −11/42 (c) −59/42 (d) 11/42
  37. 37.Which is bigger: −1/8 or −5/9? (a) −5/9 (b) −1/8
  38. 38.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  39. 39.What is (−8/9) − 5/8? (a) −19/72 (b) 109/72 (c) −13/17 (d) −109/72
  40. 40.Is −6/3 positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/3
  2. −7/9
  3. −1/7
  4. −1/4
  5. −17/20
  6. Negative
  7. Negative
  8. 73/56
  9. 13/45
  10. −4/7
  11. −5/7
  12. Positive
  13. 7/9
  14. 4/21
  15. −5/7
  16. −1/7
  17. −6/5
  18. 1/6
  19. 5/2
  20. 5/7
  21. −2/3
  22. 3/4
  23. −5/8
  24. −21/20
  25. −1/5
  26. −4/7
  27. −2/7
  28. 2/7
  29. −14/9
  30. −31/40
  31. 5/4
  32. −23/18
  33. Negative
  34. −1/8
  35. −1/5
  36. 11/42
  37. −1/8
  38. 7
  39. −109/72
  40. Negative

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