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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 26 · 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.What is the additive inverse of −1/6? (a) −1/6 (b) −6 (c) 1/6 (d) 6
  2. 2.Is 7/8 positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −5/6 or 3/4? (a) 3/4 (b) −5/6
  4. 4.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −8/12 (c) −3/2 (d) −2/3
  5. 5.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  6. 6.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  7. 7.Write −32/36 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −32/36 (d) −8/9
  8. 8.What is 4/7 − (−5/8)? (a) 3/5 (b) 67/56 (c) −3/56 (d) −67/56
  9. 9.Is −6/3 positive or negative? (a) Negative (b) Positive
  10. 10.Which is smaller: −2/3 or −5/8? (a) −5/8 (b) −2/3
  11. 11.Is 4/3 positive or negative? (a) Positive (b) Negative
  12. 12.What is 4/9 + (−3/5)? (a) 1/14 (b) −7/45 (c) 7/45 (d) 47/45
  13. 13.What is (−6/7) − 1/3? (a) 25/21 (b) −7/10 (c) −11/21 (d) −25/21
  14. 14.What is (−1/8) − (−1/5)? (a) −13/40 (b) −3/40 (c) 3/40 (d) 0
  15. 15.Is −8/(−6) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−1/5) − (−1/8)? (a) 0 (b) 3/40 (c) −3/40 (d) −13/40
  17. 17.What is (−2/9) + (−3/4)? (a) 35/36 (b) −35/36 (c) −5/13 (d) 19/36
  18. 18.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  19. 19.Is 5/9 positive or negative? (a) Positive (b) Negative
  20. 20.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −16/20 (d) −5/4
  21. 21.What is the additive inverse of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  22. 22.What is (−1/5) − (−7/8)? (a) −27/40 (b) 27/40 (c) 6/13 (d) −43/40
  23. 23.Is 4/(−7) positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −5/8 or 5/9? (a) 5/9 (b) −5/8
  25. 25.Which is bigger: −3/7 or 1/3? (a) 1/3 (b) −3/7
  26. 26.Which is bigger: −1/7 or 1/4? (a) 1/4 (b) −1/7
  27. 27.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  28. 28.What is the additive inverse of 5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  29. 29.Which is bigger: −5/8 or −2/5? (a) −2/5 (b) −5/8
  30. 30.What is (−4/9) − 2/3? (a) −10/9 (b) 2/9 (c) −1/2 (d) 10/9
  31. 31.What is (−4/5) − 1/8? (a) 37/40 (b) −5/13 (c) −27/40 (d) −37/40
  32. 32.Is 8/2 positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) −9/8 (c) 8/9 (d) 9/8
  34. 34.What is (−1/3) − (−7/9)? (a) 1/2 (b) −4/9 (c) −10/9 (d) 4/9
  35. 35.Which is bigger: −5/9 or −3/5? (a) −3/5 (b) −5/9
  36. 36.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −4/5 (b) −8/10 (c) −5/4 (d) 4/5
  37. 37.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −8/1 (d) −2/16
  38. 38.Write −35/40 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −35/40 (d) −7/8
  39. 39.What is 2/5 − (−2/5)? (a) 2/5 (b) 0 (c) 4/5 (d) −4/5
  40. 40.Which is bigger: −3/4 or −3/8? (a) −3/8 (b) −3/4

Answer key

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

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