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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 774 · 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 2/9? (a) 2/9 (b) 9/2 (c) −9/2 (d) −2/9
  2. 2.What is 5/6 + (−1/4)? (a) 13/12 (b) −7/12 (c) 7/12 (d) 2/5
  3. 3.What is 8/9 + (−1/4)? (a) −23/36 (b) 41/36 (c) 7/13 (d) 23/36
  4. 4.Is 9/9 positive or negative? (a) Positive (b) Negative
  5. 5.What is 1/7 − (−2/5)? (a) −9/35 (b) 1/4 (c) −19/35 (d) 19/35
  6. 6.Is −4/2 positive or negative? (a) Negative (b) Positive
  7. 7.Which is smaller: −4/7 or 8/9? (a) 8/9 (b) −4/7
  8. 8.Write −6/48 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −6/48 (c) −1/8 (d) −8/1
  9. 9.What is (−3/8) + 2/9? (a) −43/72 (b) −11/72 (c) 11/72 (d) −1/17
  10. 10.Is −7/6 positive or negative? (a) Negative (b) Positive
  11. 11.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −2/18 (b) 1/9 (c) −9/1 (d) −1/9
  12. 12.Is −9/3 positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of 3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  14. 14.Is 1/6 positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −6/7 or −1/8? (a) −1/8 (b) −6/7
  16. 16.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −6/27
  17. 17.Is 3/7 positive or negative? (a) Positive (b) Negative
  18. 18.What is the additive inverse of 3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  19. 19.Which is bigger: −1/8 or −3/7? (a) −3/7 (b) −1/8
  20. 20.Which is bigger: −1/4 or −1/6? (a) −1/4 (b) −1/6
  21. 21.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  22. 22.What is 1/2 − (−3/4)? (a) −5/4 (b) −1/4 (c) 5/4 (d) 2/3
  23. 23.What is (−5/8) − 1/9? (a) −37/72 (b) 53/72 (c) −6/17 (d) −53/72
  24. 24.What is (−1/9) − (−3/4)? (a) −23/36 (b) 23/36 (c) 2/13 (d) −31/36
  25. 25.Which is bigger: −1/5 or −3/5? (a) −1/5 (b) −3/5
  26. 26.What is (−3/4) − 1/6? (a) −7/12 (b) 11/12 (c) −11/12 (d) −2/5
  27. 27.What is 7/8 − (−5/9)? (a) 103/72 (b) −103/72 (c) 12/17 (d) 23/72
  28. 28.Is 8/5 positive or negative? (a) Positive (b) Negative
  29. 29.Which is bigger: −1/4 or −3/5? (a) −1/4 (b) −3/5
  30. 30.Which is smaller: −1/3 or 1/8? (a) 1/8 (b) −1/3
  31. 31.Write −4/8 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −4/8 (d) −1/2
  32. 32.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  33. 33.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  34. 34.What is (−7/8) − 1/3? (a) −13/24 (b) −29/24 (c) 29/24 (d) −8/11
  35. 35.What is (−1/4) + 5/6? (a) −7/12 (b) 7/12 (c) 2/5 (d) −13/12
  36. 36.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −3/6 (c) −1/2 (d) 1/2
  37. 37.Which is bigger: −5/8 or −1/3? (a) −1/3 (b) −5/8
  38. 38.Which is smaller: −2/3 or −1/5? (a) −2/3 (b) −1/5
  39. 39.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  40. 40.Which is smaller: −2/3 or −8/9? (a) −2/3 (b) −8/9

Answer key

  1. 9/2
  2. 7/12
  3. 23/36
  4. Positive
  5. 19/35
  6. Negative
  7. −4/7
  8. −1/8
  9. −11/72
  10. Negative
  11. −1/9
  12. Negative
  13. −3/5
  14. Positive
  15. −1/8
  16. −2/9
  17. Positive
  18. −3/7
  19. −1/8
  20. −1/6
  21. Negative
  22. 5/4
  23. −53/72
  24. 23/36
  25. −1/5
  26. −11/12
  27. 103/72
  28. Positive
  29. −1/4
  30. −1/3
  31. −1/2
  32. −8/7
  33. −3/2
  34. −29/24
  35. 7/12
  36. −1/2
  37. −1/3
  38. −2/3
  39. −6
  40. −8/9

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