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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 391 · 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: −1/5 or −7/9? (a) −7/9 (b) −1/5
  2. 2.What is the reciprocal (multiplicative inverse) of −7/9? (a) −9/7 (b) 7/9 (c) 9/7 (d) −7/9
  3. 3.What is the additive inverse of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  4. 4.Is 1/8 positive or negative? (a) Positive (b) Negative
  5. 5.What is 2/9 + (−2/9)? (a) 0 (b) 4/9
  6. 6.Is 6/6 positive or negative? (a) Negative (b) Positive
  7. 7.Is −9/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.Which is smaller: −1/4 or −1/3? (a) −1/3 (b) −1/4
  9. 9.Which is smaller: −1/4 or −3/8? (a) −1/4 (b) −3/8
  10. 10.Is −9/8 positive or negative? (a) Positive (b) Negative
  11. 11.What is 1/6 + (−7/9)? (a) 11/18 (b) −11/18 (c) −2/5 (d) 17/18
  12. 12.Which is bigger: −1/4 or 1/5? (a) 1/5 (b) −1/4
  13. 13.What is (−2/9) − (−3/8)? (a) 11/72 (b) 1/17 (c) −43/72 (d) −11/72
  14. 14.What is (−5/8) − 1/7? (a) −2/5 (b) 43/56 (c) −27/56 (d) −43/56
  15. 15.Is −5/8 positive or negative? (a) Negative (b) Positive
  16. 16.What is the additive inverse of −7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  17. 17.What is (−1/2) − 7/9? (a) 23/18 (b) 5/18 (c) −8/11 (d) −23/18
  18. 18.What is 4/5 − (−1/2)? (a) 3/10 (b) 5/7 (c) −13/10 (d) 13/10
  19. 19.Which is smaller: −8/9 or −2/9? (a) −8/9 (b) −2/9
  20. 20.What is (−4/5) − 1/5? (a) 1 (b) −1 (c) −3/5 (d) −1/2
  21. 21.What is 5/8 + (−7/9)? (a) 101/72 (b) −11/72 (c) 11/72 (d) −2/17
  22. 22.What is (−1/7) − (−4/7)? (a) 3/7 (b) −3/7 (c) −5/7 (d) 3/14
  23. 23.What is 5/9 − (−2/7)? (a) −53/63 (b) 53/63 (c) 17/63 (d) 7/16
  24. 24.Is 2/7 positive or negative? (a) Negative (b) Positive
  25. 25.What is the additive inverse of −8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  26. 26.What is the additive inverse of 2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  27. 27.What is the additive inverse of −2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  28. 28.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −1/2 (d) −2/1
  29. 29.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) −3/8 (c) 8/3 (d) 3/8
  30. 30.Which is bigger: −5/7 or −1/9? (a) −5/7 (b) −1/9
  31. 31.What is 4/9 + (−8/9)? (a) −2/9 (b) 4/3 (c) −4/9 (d) 4/9
  32. 32.What is (−5/8) + (−3/7)? (a) 59/56 (b) −59/56 (c) −8/15 (d) −11/56
  33. 33.What is the additive inverse of −7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  34. 34.What is (−1/2) − 1/3? (a) 5/6 (b) −1/6 (c) −2/5 (d) −5/6
  35. 35.Which is smaller: −5/9 or 7/9? (a) −5/9 (b) 7/9
  36. 36.What is (−1/2) + 4/9? (a) −1/18 (b) 3/11 (c) −17/18 (d) 1/18
  37. 37.Which is bigger: −2/9 or 6/7? (a) 6/7 (b) −2/9
  38. 38.Is −9/6 positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −5/8 or −3/5? (a) −3/5 (b) −5/8
  40. 40.Which is smaller: −1/8 or −1/3? (a) −1/3 (b) −1/8

Answer key

  1. −1/5
  2. −9/7
  3. 5/6
  4. Positive
  5. 0
  6. Positive
  7. Positive
  8. −1/3
  9. −3/8
  10. Negative
  11. −11/18
  12. 1/5
  13. 11/72
  14. −43/56
  15. Negative
  16. 7/8
  17. −23/18
  18. 13/10
  19. −8/9
  20. −1
  21. −11/72
  22. 3/7
  23. 53/63
  24. Positive
  25. 8/9
  26. −2/5
  27. 2/7
  28. −1/2
  29. 8/3
  30. −1/9
  31. −4/9
  32. −59/56
  33. 7/9
  34. −5/6
  35. −5/9
  36. −1/18
  37. 6/7
  38. Negative
  39. −5/8
  40. −1/3

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