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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 81 · 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: −2/9 or −1/6? (a) −2/9 (b) −1/6
  2. 2.What is 1/4 − (−1/9)? (a) −13/36 (b) 5/36 (c) 13/36 (d) 2/13
  3. 3.What is 1/3 + (−3/4)? (a) 13/12 (b) 5/12 (c) −5/12 (d) −2/7
  4. 4.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −6/10 (b) −5/3 (c) 3/5 (d) −3/5
  5. 5.Which is smaller: −1/6 or −2/5? (a) −2/5 (b) −1/6
  6. 6.Is −8/(−9) positive or negative? (a) Negative (b) Positive
  7. 7.Is 2/7 positive or negative? (a) Negative (b) Positive
  8. 8.What is the additive inverse of −5/6? (a) 5/6 (b) −5/6 (c) −6/5 (d) 6/5
  9. 9.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  10. 10.What is (−2/3) + 4/9? (a) −10/9 (b) 1/6 (c) 2/9 (d) −2/9
  11. 11.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  12. 12.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  13. 13.Is −6/7 positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −1/9 or −3/4? (a) −3/4 (b) −1/9
  15. 15.What is 5/9 + (−4/5)? (a) 61/45 (b) 1/14 (c) 11/45 (d) −11/45
  16. 16.Is −8/3 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−4/5) + 3/7? (a) 13/35 (b) −1/12 (c) −13/35 (d) −43/35
  18. 18.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  19. 19.What is 2/3 − (−1/8)? (a) −19/24 (b) 19/24 (c) 3/11 (d) 13/24
  20. 20.What is (−5/8) + 5/9? (a) 5/72 (b) 0 (c) −5/72 (d) −85/72
  21. 21.What is 1/7 − (−4/5)? (a) 5/12 (b) 33/35 (c) −23/35 (d) −33/35
  22. 22.Which is bigger: −1/6 or 2/5? (a) 2/5 (b) −1/6
  23. 23.What is (−4/9) + 4/5? (a) 0 (b) −16/45 (c) −56/45 (d) 16/45
  24. 24.What is (−7/9) + (−1/9)? (a) −8/9 (b) −2/3 (c) 8/9 (d) −4/9
  25. 25.What is (−2/9) + (−2/5)? (a) −2/7 (b) −28/45 (c) 28/45 (d) 8/45
  26. 26.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  27. 27.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  28. 28.Is 8/7 positive or negative? (a) Negative (b) Positive
  29. 29.What is 1/6 − (−7/9)? (a) 8/15 (b) 17/18 (c) −11/18 (d) −17/18
  30. 30.What is 8/9 + (−2/3)? (a) 1/2 (b) −2/9 (c) 14/9 (d) 2/9
  31. 31.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −25/45 (c) −5/9 (d) 5/9
  32. 32.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) −8/7 (c) 7/8 (d) 8/7
  33. 33.Which is smaller: −1/5 or −5/9? (a) −1/5 (b) −5/9
  34. 34.Which is bigger: −5/6 or −4/7? (a) −5/6 (b) −4/7
  35. 35.Is 4/8 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/8) + 5/6? (a) 17/24 (b) −17/24 (c) 2/7 (d) −23/24
  37. 37.Write −30/36 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −30/36
  38. 38.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  39. 39.Is 3/6 positive or negative? (a) Positive (b) Negative
  40. 40.What is the additive inverse of −5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9

Answer key

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

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