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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 722 · 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.Is 4/5 positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −1/5 or −2/3? (a) −1/5 (b) −2/3
  3. 3.Which is smaller: −5/6 or 5/9? (a) −5/6 (b) 5/9
  4. 4.Which is bigger: −2/5 or 7/8? (a) 7/8 (b) −2/5
  5. 5.What is (−3/4) + 5/8? (a) −1/8 (b) 1/6 (c) 1/8 (d) −11/8
  6. 6.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) −8/5 (c) 5/8 (d) −5/8
  7. 7.What is the additive inverse of 2/5? (a) −2/5 (b) 2/5 (c) 5/2 (d) −5/2
  8. 8.What is the additive inverse of 8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  9. 9.What is the additive inverse of 5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  10. 10.What is (−2/3) + 1/3? (a) −1/3 (b) −1 (c) −1/6 (d) 1/3
  11. 11.What is (−6/7) + (−2/3)? (a) −4/21 (b) −4/5 (c) −32/21 (d) 32/21
  12. 12.Which is smaller: −1/3 or −3/7? (a) −1/3 (b) −3/7
  13. 13.What is the additive inverse of 7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  14. 14.Which is bigger: −4/9 or −3/7? (a) −3/7 (b) −4/9
  15. 15.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  16. 16.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  17. 17.What is the additive inverse of 5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  18. 18.Which is bigger: −3/5 or −2/7? (a) −2/7 (b) −3/5
  19. 19.What is (−4/9) + 2/9? (a) −1/9 (b) 2/9 (c) −2/3 (d) −2/9
  20. 20.Is −9/(−2) positive or negative? (a) Positive (b) Negative
  21. 21.Is −5/(−4) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−2/3) + (−4/9)? (a) −1/2 (b) −2/9 (c) −10/9 (d) 10/9
  23. 23.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  24. 24.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  25. 25.What is (−2/5) − 4/9? (a) −38/45 (b) −3/7 (c) 2/45 (d) 38/45
  26. 26.What is (−5/6) − 2/3? (a) −7/9 (b) 3/2 (c) −1/6 (d) −3/2
  27. 27.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  28. 28.Is −6/2 positive or negative? (a) Positive (b) Negative
  29. 29.Is 7/3 positive or negative? (a) Positive (b) Negative
  30. 30.What is (−4/9) − 2/3? (a) −10/9 (b) −1/2 (c) 2/9 (d) 10/9
  31. 31.Write −35/40 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −35/40 (c) 7/8 (d) −8/7
  32. 32.What is 4/7 + (−5/7)? (a) 9/7 (b) 1/7 (c) −1/14 (d) −1/7
  33. 33.What is 1/8 − (−1/2)? (a) −3/8 (b) −5/8 (c) 1/5 (d) 5/8
  34. 34.What is the additive inverse of −1/9? (a) −1/9 (b) −9 (c) 1/9 (d) 9
  35. 35.What is (−2/3) + (−5/7)? (a) −29/21 (b) −7/10 (c) 29/21 (d) 1/21
  36. 36.What is (−1/4) + 2/5? (a) −13/20 (b) 1/9 (c) −3/20 (d) 3/20
  37. 37.Write −12/14 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −12/14 (c) −6/7 (d) −7/6
  38. 38.Which is smaller: −4/9 or −2/7? (a) −2/7 (b) −4/9
  39. 39.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−6/7) + (−7/8)? (a) 97/56 (b) −97/56 (c) −13/15 (d) 1/56

Answer key

  1. Positive
  2. −1/5
  3. −5/6
  4. 7/8
  5. −1/8
  6. −5/8
  7. −2/5
  8. −8/9
  9. −5/8
  10. −1/3
  11. −32/21
  12. −3/7
  13. −7/8
  14. −3/7
  15. −8/5
  16. 7/4
  17. −5/7
  18. −2/7
  19. −2/9
  20. Positive
  21. Positive
  22. −10/9
  23. −8
  24. 7
  25. −38/45
  26. −3/2
  27. Negative
  28. Negative
  29. Positive
  30. −10/9
  31. −7/8
  32. −1/7
  33. 5/8
  34. 1/9
  35. −29/21
  36. 3/20
  37. −6/7
  38. −4/9
  39. Negative
  40. −97/56

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