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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 271 · 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 −3/9 positive or negative? (a) Positive (b) Negative
  2. 2.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −8/20 (d) 2/5
  3. 3.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  4. 4.What is the additive inverse of −6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  5. 5.Is 4/7 positive or negative? (a) Negative (b) Positive
  6. 6.Which is bigger: −5/8 or −3/8? (a) −3/8 (b) −5/8
  7. 7.Which is bigger: −3/4 or −3/5? (a) −3/4 (b) −3/5
  8. 8.What is (−7/8) − (−2/9)? (a) −79/72 (b) 47/72 (c) −5/17 (d) −47/72
  9. 9.Is −7/5 positive or negative? (a) Negative (b) Positive
  10. 10.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −6/15 (d) 2/5
  11. 11.What is 6/7 + (−5/8)? (a) 83/56 (b) 1/15 (c) −13/56 (d) 13/56
  12. 12.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  13. 13.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  14. 14.What is 1/9 − (−3/8)? (a) −35/72 (b) 4/17 (c) −19/72 (d) 35/72
  15. 15.Which is bigger: −4/9 or −7/9? (a) −7/9 (b) −4/9
  16. 16.What is (−3/7) + 4/7? (a) 1/14 (b) −1 (c) 1/7 (d) −1/7
  17. 17.What is (−4/7) − 2/3? (a) 2/21 (b) −26/21 (c) 26/21 (d) −3/5
  18. 18.What is the additive inverse of 2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  19. 19.What is 2/7 − (−1/6)? (a) −19/42 (b) 19/42 (c) 5/42 (d) 3/13
  20. 20.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  21. 21.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) −7 (c) 7 (d) 1/7
  22. 22.What is (−3/5) − 6/7? (a) −3/4 (b) 9/35 (c) 51/35 (d) −51/35
  23. 23.What is 3/5 − (−1/6)? (a) −23/30 (b) 23/30 (c) 13/30 (d) 4/11
  24. 24.What is (−1/5) + 1/2? (a) 3/10 (b) 0 (c) −3/10 (d) −7/10
  25. 25.Which is smaller: −1/7 or −4/9? (a) −4/9 (b) −1/7
  26. 26.What is 7/9 + (−3/5)? (a) −8/45 (b) 62/45 (c) 2/7 (d) 8/45
  27. 27.Which is bigger: −2/3 or −1/4? (a) −2/3 (b) −1/4
  28. 28.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −6/16 (b) −3/8 (c) 3/8 (d) −8/3
  29. 29.What is (−5/6) − 1/3? (a) −1/2 (b) 7/6 (c) −7/6 (d) −2/3
  30. 30.Which is smaller: −6/7 or −8/9? (a) −6/7 (b) −8/9
  31. 31.Which is smaller: −1/6 or −3/4? (a) −3/4 (b) −1/6
  32. 32.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  33. 33.Which is bigger: −1/5 or −4/5? (a) −4/5 (b) −1/5
  34. 34.What is (−7/9) + 2/5? (a) −17/45 (b) −53/45 (c) 17/45 (d) −5/14
  35. 35.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  36. 36.Which is bigger: −2/7 or 8/9? (a) −2/7 (b) 8/9
  37. 37.Which is smaller: −8/9 or −5/6? (a) −8/9 (b) −5/6
  38. 38.What is (−1/7) − (−3/5)? (a) −26/35 (b) 16/35 (c) 1/6 (d) −16/35
  39. 39.Which is bigger: −1/5 or 4/7? (a) −1/5 (b) 4/7
  40. 40.What is the additive inverse of 3/4? (a) 4/3 (b) −4/3 (c) −3/4 (d) 3/4

Answer key

  1. Negative
  2. −2/5
  3. −7/3
  4. 6/7
  5. Positive
  6. −3/8
  7. −3/5
  8. −47/72
  9. Negative
  10. −2/5
  11. 13/56
  12. Negative
  13. Positive
  14. 35/72
  15. −4/9
  16. 1/7
  17. −26/21
  18. −2/9
  19. 19/42
  20. 2/5
  21. 7
  22. −51/35
  23. 23/30
  24. 3/10
  25. −4/9
  26. 8/45
  27. −1/4
  28. −3/8
  29. −7/6
  30. −8/9
  31. −3/4
  32. −2/5
  33. −1/5
  34. −17/45
  35. 4
  36. 8/9
  37. −8/9
  38. 16/35
  39. 4/7
  40. −3/4

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