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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 353 · 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 3/8? (a) 8/3 (b) −8/3 (c) 3/8 (d) −3/8
  2. 2.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  3. 3.What is (−3/4) − 7/9? (a) −55/36 (b) 55/36 (c) 1/36 (d) −10/13
  4. 4.Which is smaller: −4/9 or −1/9? (a) −4/9 (b) −1/9
  5. 5.What is (−4/7) + 4/7? (a) 0 (b) −8/7
  6. 6.What is (−4/7) + 5/8? (a) 3/56 (b) −67/56 (c) −3/56 (d) 1/15
  7. 7.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  8. 8.Which is smaller: −1/3 or −3/8? (a) −3/8 (b) −1/3
  9. 9.Is 2/4 positive or negative? (a) Positive (b) Negative
  10. 10.What is 3/8 + (−3/5)? (a) −9/40 (b) 9/40 (c) 0 (d) 39/40
  11. 11.What is the additive inverse of −4/7? (a) −4/7 (b) 7/4 (c) −7/4 (d) 4/7
  12. 12.What is (−2/3) + 4/5? (a) 1/4 (b) −22/15 (c) −2/15 (d) 2/15
  13. 13.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  14. 14.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) −6/42 (d) 1/7
  15. 15.Is 7/5 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−3/4) − 1/3? (a) −5/12 (b) −13/12 (c) −4/7 (d) 13/12
  17. 17.Which is smaller: −3/4 or −7/8? (a) −3/4 (b) −7/8
  18. 18.What is (−7/9) − 1/7? (a) 58/63 (b) −1/2 (c) −58/63 (d) −40/63
  19. 19.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −4/20 (d) −1/5
  20. 20.What is 3/4 + (−3/8)? (a) 0 (b) −3/8 (c) 9/8 (d) 3/8
  21. 21.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) −6/7 (c) −7/6 (d) 6/7
  22. 22.What is (−1/4) + 6/7? (a) 17/28 (b) −31/28 (c) 5/11 (d) −17/28
  23. 23.Is 6/3 positive or negative? (a) Positive (b) Negative
  24. 24.What is (−3/4) + (−6/7)? (a) −9/11 (b) 3/28 (c) −45/28 (d) 45/28
  25. 25.Is 9/7 positive or negative? (a) Positive (b) Negative
  26. 26.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  27. 27.Is 1/3 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−1/4) + 3/8? (a) −1/8 (b) −5/8 (c) 1/8 (d) 1/6
  29. 29.Which is smaller: −3/5 or −3/7? (a) −3/5 (b) −3/7
  30. 30.What is 6/7 − (−1/5)? (a) 7/12 (b) −37/35 (c) 37/35 (d) 23/35
  31. 31.What is 3/5 − (−7/8)? (a) 10/13 (b) 59/40 (c) −59/40 (d) −11/40
  32. 32.Which is bigger: −7/9 or −2/5? (a) −7/9 (b) −2/5
  33. 33.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −2/14 (c) −7/1 (d) 1/7
  34. 34.Is 6/8 positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −5/9 or −7/9? (a) −7/9 (b) −5/9
  36. 36.Is −8/9 positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of −2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  38. 38.What is (−3/8) + (−2/5)? (a) 31/40 (b) −5/13 (c) 1/40 (d) −31/40
  39. 39.Which is bigger: −4/7 or 8/9? (a) −4/7 (b) 8/9
  40. 40.Which is bigger: −1/8 or −6/7? (a) −6/7 (b) −1/8

Answer key

  1. −3/8
  2. 5/4
  3. −55/36
  4. −4/9
  5. 0
  6. 3/56
  7. 3
  8. −3/8
  9. Positive
  10. −9/40
  11. 4/7
  12. 2/15
  13. −3
  14. −1/7
  15. Positive
  16. −13/12
  17. −7/8
  18. −58/63
  19. −1/5
  20. 3/8
  21. −7/6
  22. 17/28
  23. Positive
  24. −45/28
  25. Positive
  26. Negative
  27. Positive
  28. 1/8
  29. −3/5
  30. 37/35
  31. 59/40
  32. −2/5
  33. −1/7
  34. Positive
  35. −7/9
  36. Negative
  37. 2/7
  38. −31/40
  39. 8/9
  40. −1/8

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