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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 799 · 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 reciprocal (multiplicative inverse) of −1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  2. 2.Which is smaller: −7/9 or 1/2? (a) −7/9 (b) 1/2
  3. 3.What is the additive inverse of −3/7? (a) 7/3 (b) −3/7 (c) −7/3 (d) 3/7
  4. 4.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  5. 5.What is (−3/4) + (−5/6)? (a) −4/5 (b) 1/12 (c) 19/12 (d) −19/12
  6. 6.What is the additive inverse of −5/7? (a) −5/7 (b) 7/5 (c) 5/7 (d) −7/5
  7. 7.Which is smaller: −3/5 or 5/9? (a) 5/9 (b) −3/5
  8. 8.What is (−4/5) + (−5/8)? (a) −7/40 (b) 57/40 (c) −57/40 (d) −9/13
  9. 9.What is 1/8 − (−5/7)? (a) 2/5 (b) −33/56 (c) 47/56 (d) −47/56
  10. 10.What is (−1/4) + 1/6? (a) −5/12 (b) 0 (c) 1/12 (d) −1/12
  11. 11.What is the additive inverse of 3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  12. 12.Which is bigger: −1/4 or −1/7? (a) −1/4 (b) −1/7
  13. 13.What is (−7/8) − 5/8? (a) −1/4 (b) −3/4 (c) 3/2 (d) −3/2
  14. 14.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  15. 15.Is −1/5 positive or negative? (a) Negative (b) Positive
  16. 16.What is 1/6 + (−1/2)? (a) −1/3 (b) 2/3 (c) 0 (d) 1/3
  17. 17.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −30/36 (d) 5/6
  18. 18.Is −2/4 positive or negative? (a) Positive (b) Negative
  19. 19.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  20. 20.What is the additive inverse of −7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  21. 21.What is 1/3 − (−1/9)? (a) −4/9 (b) 1/6 (c) 4/9 (d) 2/9
  22. 22.Write −6/14 in standard form (lowest terms, positive denominator). (a) −6/14 (b) −3/7 (c) −7/3 (d) 3/7
  23. 23.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  24. 24.Is 6/4 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−3/7) + (−2/3)? (a) 23/21 (b) −23/21 (c) 5/21 (d) −1/2
  26. 26.Which is smaller: −2/5 or −7/8? (a) −2/5 (b) −7/8
  27. 27.Is 6/3 positive or negative? (a) Positive (b) Negative
  28. 28.Which is smaller: −3/8 or −1/5? (a) −3/8 (b) −1/5
  29. 29.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) −5 (c) −1/5 (d) 1/5
  30. 30.What is (−4/9) + (−5/8)? (a) −9/17 (b) 13/72 (c) 77/72 (d) −77/72
  31. 31.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  32. 32.What is the additive inverse of −1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  33. 33.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/36 (c) −1/6 (d) −6/1
  34. 34.Is −6/5 positive or negative? (a) Positive (b) Negative
  35. 35.Is −1/2 positive or negative? (a) Positive (b) Negative
  36. 36.Write −5/45 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −5/45 (c) −9/1 (d) −1/9
  37. 37.What is the additive inverse of −7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  38. 38.Is −2/7 positive or negative? (a) Negative (b) Positive
  39. 39.Which is smaller: −5/7 or −1/5? (a) −5/7 (b) −1/5
  40. 40.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3

Answer key

  1. −6
  2. −7/9
  3. 3/7
  4. −2/9
  5. −19/12
  6. 5/7
  7. −3/5
  8. −57/40
  9. 47/56
  10. −1/12
  11. −3/5
  12. −1/7
  13. −3/2
  14. 4/3
  15. Negative
  16. −1/3
  17. −5/6
  18. Negative
  19. −9
  20. 7/8
  21. 4/9
  22. −3/7
  23. 8/7
  24. Positive
  25. −23/21
  26. −7/8
  27. Positive
  28. −3/8
  29. 5
  30. −77/72
  31. 6
  32. 1/3
  33. −1/6
  34. Negative
  35. Negative
  36. −1/9
  37. 7/9
  38. Negative
  39. −5/7
  40. 3/2

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