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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 594 · 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 1/8 − (−1/7)? (a) −1/56 (b) 2/15 (c) −15/56 (d) 15/56
  2. 2.What is (−3/4) + (−7/8)? (a) −5/6 (b) −13/8 (c) 1/8 (d) 13/8
  3. 3.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) −5/8 (c) 8/5 (d) 5/8
  4. 4.What is 2/9 + (−3/7)? (a) −1/16 (b) −13/63 (c) 13/63 (d) 41/63
  5. 5.What is (−1/3) − (−1/7)? (a) −4/21 (b) 4/21 (c) 0 (d) −10/21
  6. 6.Write −12/15 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −12/15 (d) 4/5
  7. 7.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −12/30
  8. 8.What is (−1/4) − (−2/9)? (a) 1/36 (b) −1/36 (c) 1/13 (d) −17/36
  9. 9.Is 5/8 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−2/5) − 5/9? (a) 43/45 (b) −1/2 (c) 7/45 (d) −43/45
  11. 11.What is the reciprocal (multiplicative inverse) of 1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  12. 12.Which is bigger: −1/5 or 2/9? (a) 2/9 (b) −1/5
  13. 13.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  14. 14.What is (−1/2) − (−4/7)? (a) −15/14 (b) −1/14 (c) 1/3 (d) 1/14
  15. 15.Write −35/40 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −35/40
  16. 16.Is −6/5 positive or negative? (a) Positive (b) Negative
  17. 17.What is the additive inverse of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  18. 18.What is 1/2 + (−1/5)? (a) 7/10 (b) 0 (c) −3/10 (d) 3/10
  19. 19.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  20. 20.What is the additive inverse of −4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  21. 21.What is (−4/5) + 5/7? (a) 3/35 (b) 1/12 (c) −3/35 (d) −53/35
  22. 22.What is (−7/8) + 1/8? (a) −1 (b) −3/8 (c) 3/4 (d) −3/4
  23. 23.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  24. 24.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  25. 25.What is the additive inverse of −5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  26. 26.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 1/6 (c) 6 (d) −6
  27. 27.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −10/12 (c) −6/5 (d) 5/6
  28. 28.Which is bigger: −1/6 or −1/9? (a) −1/6 (b) −1/9
  29. 29.What is (−5/7) + 7/8? (a) −9/56 (b) 2/15 (c) −89/56 (d) 9/56
  30. 30.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −12/16 (d) −4/3
  31. 31.Which is smaller: −5/8 or 1/3? (a) 1/3 (b) −5/8
  32. 32.Which is smaller: −5/8 or 6/7? (a) −5/8 (b) 6/7
  33. 33.Which is smaller: −4/5 or −8/9? (a) −8/9 (b) −4/5
  34. 34.Which is smaller: −1/7 or −5/9? (a) −1/7 (b) −5/9
  35. 35.What is the additive inverse of 5/6? (a) 6/5 (b) −5/6 (c) 5/6 (d) −6/5
  36. 36.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  37. 37.Which is bigger: −1/5 or −2/3? (a) −1/5 (b) −2/3
  38. 38.What is (−4/9) − (−1/4)? (a) −3/13 (b) 7/36 (c) −25/36 (d) −7/36
  39. 39.Which is bigger: −5/6 or 4/5? (a) 4/5 (b) −5/6
  40. 40.What is (−5/8) − (−4/5)? (a) −57/40 (b) −1/13 (c) 7/40 (d) −7/40

Answer key

  1. 15/56
  2. −13/8
  3. 8/5
  4. −13/63
  5. −4/21
  6. −4/5
  7. −2/5
  8. −1/36
  9. Positive
  10. −43/45
  11. 2
  12. 2/9
  13. 9/2
  14. 1/14
  15. −7/8
  16. Negative
  17. −6/7
  18. 3/10
  19. Negative
  20. 4/5
  21. −3/35
  22. −3/4
  23. Negative
  24. Negative
  25. 5/9
  26. −6
  27. −5/6
  28. −1/9
  29. 9/56
  30. −3/4
  31. −5/8
  32. −5/8
  33. −8/9
  34. −5/9
  35. −5/6
  36. 5/7
  37. −1/5
  38. −7/36
  39. 4/5
  40. 7/40

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