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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 535 · 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.Which is bigger: −3/4 or −5/7? (a) −3/4 (b) −5/7
  2. 2.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  3. 3.Is 3/7 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−1/2) + 2/5? (a) −9/10 (b) 1/10 (c) −1/10 (d) 1/7
  5. 5.Is −3/4 positive or negative? (a) Positive (b) Negative
  6. 6.Write −6/48 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −6/48 (d) 1/8
  7. 7.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  8. 8.Which is smaller: −1/7 or −2/9? (a) −1/7 (b) −2/9
  9. 9.Which is bigger: −1/7 or −2/9? (a) −1/7 (b) −2/9
  10. 10.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  11. 11.What is (−1/2) − 7/8? (a) −11/8 (b) −4/5 (c) 11/8 (d) 3/8
  12. 12.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −15/27 (b) −5/9 (c) −9/5 (d) 5/9
  13. 13.Which is smaller: −1/5 or 1/4? (a) 1/4 (b) −1/5
  14. 14.Which is bigger: −2/5 or −1/4? (a) −2/5 (b) −1/4
  15. 15.What is the additive inverse of −1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  16. 16.Is −2/2 positive or negative? (a) Positive (b) Negative
  17. 17.Which is bigger: −2/5 or −3/5? (a) −2/5 (b) −3/5
  18. 18.What is (−4/7) + 1/2? (a) −15/14 (b) 1/14 (c) −1/3 (d) −1/14
  19. 19.What is the additive inverse of 4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  20. 20.What is the additive inverse of 8/9? (a) 9/8 (b) 8/9 (c) −9/8 (d) −8/9
  21. 21.What is (−4/9) + 2/5? (a) 2/45 (b) −2/45 (c) −1/7 (d) −38/45
  22. 22.What is (−7/9) + (−3/5)? (a) −8/45 (b) −62/45 (c) 62/45 (d) −5/7
  23. 23.What is (−1/3) + (−7/9)? (a) −10/9 (b) 10/9 (c) 4/9 (d) −2/3
  24. 24.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −3/7 (d) −7/3
  25. 25.What is the additive inverse of 2/3? (a) −3/2 (b) 2/3 (c) −2/3 (d) 3/2
  26. 26.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  27. 27.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −18/30 (c) −3/5 (d) −5/3
  28. 28.What is (−5/8) − 2/7? (a) −7/15 (b) −51/56 (c) 51/56 (d) −19/56
  29. 29.Is −5/4 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−1/7) − 1/2? (a) 5/14 (b) 9/14 (c) −9/14 (d) −2/9
  31. 31.Which is smaller: −3/7 or −1/2? (a) −1/2 (b) −3/7
  32. 32.What is the additive inverse of 1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  33. 33.Is 6/(−2) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−7/9) + (−5/7)? (a) −4/63 (b) −3/4 (c) 94/63 (d) −94/63
  35. 35.What is (−1/4) − 6/7? (a) 17/28 (b) 31/28 (c) −31/28 (d) −7/11
  36. 36.Is −2/8 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−1/2) − (−4/7)? (a) −1/14 (b) −15/14 (c) 1/14 (d) 1/3
  38. 38.What is (−5/7) − 1/2? (a) 17/14 (b) −17/14 (c) −3/14 (d) −2/3
  39. 39.What is the additive inverse of 3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  40. 40.Is 4/(−5) positive or negative? (a) Positive (b) Negative

Answer key

  1. −5/7
  2. −8/3
  3. Positive
  4. −1/10
  5. Negative
  6. −1/8
  7. −7/4
  8. −2/9
  9. −1/7
  10. 3/4
  11. −11/8
  12. −5/9
  13. −1/5
  14. −1/4
  15. 1/7
  16. Negative
  17. −2/5
  18. −1/14
  19. −4/7
  20. −8/9
  21. −2/45
  22. −62/45
  23. −10/9
  24. −3/7
  25. −2/3
  26. 5/4
  27. −3/5
  28. −51/56
  29. Negative
  30. −9/14
  31. −1/2
  32. −1/9
  33. Negative
  34. −94/63
  35. −31/28
  36. Negative
  37. 1/14
  38. −17/14
  39. −3/5
  40. Negative

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