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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 668 · 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 −1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  2. 2.What is (−1/7) + (−4/7)? (a) −5/14 (b) 3/7 (c) 5/7 (d) −5/7
  3. 3.Which is bigger: −7/9 or 1/3? (a) −7/9 (b) 1/3
  4. 4.What is 5/7 − (−1/5)? (a) −32/35 (b) 1/2 (c) 32/35 (d) 18/35
  5. 5.Is −5/5 positive or negative? (a) Negative (b) Positive
  6. 6.What is the additive inverse of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  7. 7.Write −40/45 in standard form (lowest terms, positive denominator). (a) −40/45 (b) −9/8 (c) 8/9 (d) −8/9
  8. 8.Which is smaller: −1/5 or −3/8? (a) −1/5 (b) −3/8
  9. 9.What is (−2/9) − (−3/4)? (a) −35/36 (b) 19/36 (c) −19/36 (d) 1/13
  10. 10.What is (−2/7) + 1/3? (a) −13/21 (b) 1/21 (c) −1/10 (d) −1/21
  11. 11.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  12. 12.Which is smaller: −1/6 or −1/2? (a) −1/2 (b) −1/6
  13. 13.What is the additive inverse of 2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  14. 14.Which is smaller: −5/6 or −1/3? (a) −5/6 (b) −1/3
  15. 15.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −4/20 (b) −1/5 (c) −5/1 (d) 1/5
  16. 16.What is the additive inverse of 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  17. 17.What is (−4/7) + (−1/8)? (a) −1/3 (b) −25/56 (c) −39/56 (d) 39/56
  18. 18.Which is smaller: −8/9 or 6/7? (a) 6/7 (b) −8/9
  19. 19.Is 2/(−7) positive or negative? (a) Negative (b) Positive
  20. 20.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  21. 21.What is the additive inverse of −1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  22. 22.What is (−1/8) − 1/7? (a) −15/56 (b) 15/56 (c) 1/56 (d) −2/15
  23. 23.What is (−1/2) + 5/7? (a) −3/14 (b) −17/14 (c) 3/14 (d) 4/9
  24. 24.Which is smaller: −7/8 or −1/9? (a) −7/8 (b) −1/9
  25. 25.What is 2/5 + (−4/9)? (a) −2/45 (b) −1/7 (c) 38/45 (d) 2/45
  26. 26.What is the additive inverse of −5/8? (a) 8/5 (b) −5/8 (c) 5/8 (d) −8/5
  27. 27.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −32/36 (d) −8/9
  28. 28.Which is smaller: −5/7 or −1/8? (a) −1/8 (b) −5/7
  29. 29.What is 4/5 + (−5/8)? (a) −1/13 (b) 57/40 (c) 7/40 (d) −7/40
  30. 30.What is 7/8 + (−1/3)? (a) 6/11 (b) 13/24 (c) 29/24 (d) −13/24
  31. 31.What is 1/2 + (−1/3)? (a) −1/6 (b) 0 (c) 5/6 (d) 1/6
  32. 32.What is 2/7 − (−1/9)? (a) 25/63 (b) 11/63 (c) −25/63 (d) 3/16
  33. 33.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −12/18 (d) 2/3
  34. 34.Which is smaller: −5/6 or −6/7? (a) −5/6 (b) −6/7
  35. 35.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) −3/5 (d) 3/5
  36. 36.What is (−1/2) − (−5/7)? (a) 3/14 (b) 4/9 (c) −17/14 (d) −3/14
  37. 37.What is (−2/5) − 1/2? (a) −9/10 (b) 9/10 (c) −3/7 (d) 1/10
  38. 38.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  39. 39.Which is smaller: −3/7 or −8/9? (a) −3/7 (b) −8/9
  40. 40.What is the additive inverse of −1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7

Answer key

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

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