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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 156 · 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.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) −8/9 (c) 8/9 (d) −9/8
  2. 2.What is (−3/8) − (−1/8)? (a) 1/4 (b) −1/4 (c) −1/8 (d) −1/2
  3. 3.Which is bigger: −1/4 or 6/7? (a) −1/4 (b) 6/7
  4. 4.What is (−2/5) + 1/6? (a) −17/30 (b) −7/30 (c) 7/30 (d) −1/11
  5. 5.What is the additive inverse of 1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  6. 6.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/36 (b) −6/1 (c) 1/6 (d) −1/6
  7. 7.What is (−2/3) − (−1/4)? (a) 5/12 (b) −1/7 (c) −5/12 (d) −11/12
  8. 8.What is 5/6 − (−1/8)? (a) 3/7 (b) 23/24 (c) −23/24 (d) 17/24
  9. 9.Which is bigger: −2/9 or 1/3? (a) 1/3 (b) −2/9
  10. 10.Which is smaller: −5/7 or 5/9? (a) −5/7 (b) 5/9
  11. 11.Write −8/14 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −8/14 (d) −4/7
  12. 12.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −18/21 (d) −6/7
  13. 13.What is (−1/4) − 3/8? (a) 5/8 (b) −1/3 (c) 1/8 (d) −5/8
  14. 14.Is −1/8 positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of 2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  16. 16.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  17. 17.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  18. 18.Which is bigger: −2/3 or 7/8? (a) −2/3 (b) 7/8
  19. 19.What is the additive inverse of −1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  20. 20.What is (−3/4) + (−7/9)? (a) −55/36 (b) 1/36 (c) −10/13 (d) 55/36
  21. 21.Which is smaller: −3/5 or −5/9? (a) −3/5 (b) −5/9
  22. 22.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −8/12 (c) −3/2 (d) −2/3
  23. 23.What is (−5/7) + 1/7? (a) −2/7 (b) 4/7 (c) −6/7 (d) −4/7
  24. 24.Is 4/8 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−3/5) + 7/9? (a) 8/45 (b) 2/7 (c) −8/45 (d) −62/45
  26. 26.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  27. 27.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 8/9 (c) −8/9 (d) 9/8
  28. 28.What is (−8/9) − (−2/5)? (a) −3/7 (b) −58/45 (c) −22/45 (d) 22/45
  29. 29.What is the reciprocal (multiplicative inverse) of −5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  30. 30.Is −5/2 positive or negative? (a) Negative (b) Positive
  31. 31.Write −30/48 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −30/48 (c) −5/8 (d) 5/8
  32. 32.Is 1/8 positive or negative? (a) Negative (b) Positive
  33. 33.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −2/4 (d) −1/2
  34. 34.Write −25/40 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −25/40 (d) −8/5
  35. 35.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −1/8 or −4/9? (a) −1/8 (b) −4/9
  37. 37.Which is bigger: −1/4 or −3/7? (a) −3/7 (b) −1/4
  38. 38.What is (−1/8) + 6/7? (a) 1/3 (b) 41/56 (c) −55/56 (d) −41/56
  39. 39.What is (−5/7) − 6/7? (a) 11/7 (b) 1/7 (c) −11/14 (d) −11/7
  40. 40.What is the additive inverse of −1/7? (a) −1/7 (b) −7 (c) 1/7 (d) 7

Answer key

  1. −8/9
  2. −1/4
  3. 6/7
  4. −7/30
  5. −1/7
  6. −1/6
  7. −5/12
  8. 23/24
  9. 1/3
  10. −5/7
  11. −4/7
  12. −6/7
  13. −5/8
  14. Negative
  15. −2/9
  16. −9/2
  17. 8/3
  18. 7/8
  19. 1/3
  20. −55/36
  21. −3/5
  22. −2/3
  23. −4/7
  24. Positive
  25. 8/45
  26. 1/5
  27. 9/8
  28. −22/45
  29. −8/5
  30. Negative
  31. −5/8
  32. Positive
  33. −1/2
  34. −5/8
  35. Positive
  36. −1/8
  37. −1/4
  38. 41/56
  39. −11/7
  40. 1/7

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