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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 698 · 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 1/5 − (−5/8)? (a) −17/40 (b) 33/40 (c) −33/40 (d) 6/13
  2. 2.What is the additive inverse of −5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  3. 3.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  4. 4.What is 5/6 − (−1/5)? (a) −31/30 (b) 19/30 (c) 31/30 (d) 6/11
  5. 5.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −35/40
  6. 6.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  7. 7.Which is smaller: −5/7 or −3/7? (a) −5/7 (b) −3/7
  8. 8.What is the additive inverse of −2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  9. 9.What is (−5/9) + 1/5? (a) −34/45 (b) −2/7 (c) −16/45 (d) 16/45
  10. 10.What is (−4/5) + 1/6? (a) −29/30 (b) −3/11 (c) −19/30 (d) 19/30
  11. 11.Which is bigger: −4/9 or 5/9? (a) −4/9 (b) 5/9
  12. 12.Write −30/36 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −30/36 (c) 5/6 (d) −6/5
  13. 13.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −1/5 or 1/7? (a) 1/7 (b) −1/5
  15. 15.What is (−7/8) + 3/5? (a) 11/40 (b) −59/40 (c) −4/13 (d) −11/40
  16. 16.Is 1/9 positive or negative? (a) Negative (b) Positive
  17. 17.What is the additive inverse of −2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  18. 18.Which is smaller: −3/5 or 5/7? (a) −3/5 (b) 5/7
  19. 19.What is the additive inverse of 5/8? (a) 8/5 (b) 5/8 (c) −8/5 (d) −5/8
  20. 20.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  21. 21.Write −15/21 in standard form (lowest terms, positive denominator). (a) −15/21 (b) −5/7 (c) −7/5 (d) 5/7
  22. 22.What is 4/5 − (−4/5)? (a) −8/5 (b) 8/5 (c) 4/5 (d) 0
  23. 23.Which is bigger: −8/9 or −4/7? (a) −4/7 (b) −8/9
  24. 24.What is (−3/7) − (−3/7)? (a) 0 (b) −6/7
  25. 25.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −3/7 or −8/9? (a) −8/9 (b) −3/7
  27. 27.What is (−5/8) − (−3/5)? (a) −49/40 (b) −2/13 (c) −1/40 (d) 1/40
  28. 28.What is (−2/5) + (−5/9)? (a) 7/45 (b) 43/45 (c) −1/2 (d) −43/45
  29. 29.Is −7/(−6) positive or negative? (a) Negative (b) Positive
  30. 30.What is 1/3 − (−1/2)? (a) −5/6 (b) −1/6 (c) 5/6 (d) 2/5
  31. 31.What is (−2/3) + (−1/2)? (a) 7/6 (b) −7/6 (c) −3/5 (d) −1/6
  32. 32.What is (−2/5) − (−6/7)? (a) −44/35 (b) −16/35 (c) 1/3 (d) 16/35
  33. 33.Write −3/24 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −3/24 (d) −1/8
  34. 34.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) −9/1 (c) 1/9 (d) −1/9
  35. 35.Is 9/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.What is 3/5 + (−3/8)? (a) −9/40 (b) 39/40 (c) 0 (d) 9/40
  37. 37.What is the additive inverse of 7/9? (a) 7/9 (b) −7/9 (c) 9/7 (d) −9/7
  38. 38.What is (−5/9) − 1/2? (a) 19/18 (b) −19/18 (c) −6/11 (d) −1/18
  39. 39.What is the additive inverse of 1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  40. 40.Is −8/5 positive or negative? (a) Negative (b) Positive

Answer key

  1. 33/40
  2. 5/6
  3. Negative
  4. 31/30
  5. −7/8
  6. 7
  7. −5/7
  8. 2/7
  9. −16/45
  10. −19/30
  11. 5/9
  12. −5/6
  13. Positive
  14. 1/7
  15. −11/40
  16. Positive
  17. 2/5
  18. −3/5
  19. −5/8
  20. Positive
  21. −5/7
  22. 8/5
  23. −4/7
  24. 0
  25. Negative
  26. −8/9
  27. −1/40
  28. −43/45
  29. Positive
  30. 5/6
  31. −7/6
  32. 16/35
  33. −1/8
  34. −1/9
  35. Negative
  36. 9/40
  37. −7/9
  38. −19/18
  39. −1/3
  40. Negative

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