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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 904 · 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: −1/4 or −3/8? (a) −1/4 (b) −3/8
  2. 2.What is 1/8 + (−1/2)? (a) 3/8 (b) −3/8 (c) 5/8 (d) 0
  3. 3.Is 1/(−6) positive or negative? (a) Positive (b) Negative
  4. 4.What is (−3/5) − (−3/4)? (a) −3/20 (b) 3/20 (c) 0 (d) −27/20
  5. 5.What is the additive inverse of −1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  6. 6.Which is smaller: −4/9 or −5/7? (a) −5/7 (b) −4/9
  7. 7.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  8. 8.What is the additive inverse of 5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  9. 9.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) 3/7 (d) −9/21
  10. 10.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) −1/5 (c) 1/5 (d) 5
  11. 11.What is 5/8 + (−1/3)? (a) 4/11 (b) 23/24 (c) 7/24 (d) −7/24
  12. 12.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  13. 13.What is (−1/6) + (−5/7)? (a) 23/42 (b) 37/42 (c) −37/42 (d) −6/13
  14. 14.What is the additive inverse of 4/9? (a) −4/9 (b) −9/4 (c) 4/9 (d) 9/4
  15. 15.What is the additive inverse of 2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  16. 16.Which is smaller: −2/5 or −3/7? (a) −3/7 (b) −2/5
  17. 17.What is the additive inverse of −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  18. 18.What is (−3/4) + (−2/3)? (a) −1/12 (b) −5/7 (c) 17/12 (d) −17/12
  19. 19.What is (−5/7) + 1/6? (a) −23/42 (b) −4/13 (c) 23/42 (d) −37/42
  20. 20.Which is bigger: −5/6 or −1/4? (a) −1/4 (b) −5/6
  21. 21.What is (−5/9) + (−7/8)? (a) 103/72 (b) −12/17 (c) 23/72 (d) −103/72
  22. 22.What is (−5/6) + 2/5? (a) −37/30 (b) −3/11 (c) −13/30 (d) 13/30
  23. 23.What is (−1/4) + (−5/9)? (a) 11/36 (b) 29/36 (c) −6/13 (d) −29/36
  24. 24.What is (−5/6) − (−7/9)? (a) 1/18 (b) −1/18 (c) −29/18 (d) 2/15
  25. 25.What is the additive inverse of −5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  26. 26.What is (−7/8) + 2/5? (a) −5/13 (b) −19/40 (c) 19/40 (d) −51/40
  27. 27.What is (−8/9) + (−5/7)? (a) 101/63 (b) −11/63 (c) −13/16 (d) −101/63
  28. 28.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  29. 29.What is 6/7 − (−5/7)? (a) 11/7 (b) 1/7 (c) 11/14 (d) −11/7
  30. 30.Which is bigger: −7/9 or −3/5? (a) −7/9 (b) −3/5
  31. 31.Is 1/4 positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −4/9 or −7/8? (a) −4/9 (b) −7/8
  33. 33.Which is smaller: −1/9 or 3/8? (a) 3/8 (b) −1/9
  34. 34.What is the additive inverse of −1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  35. 35.Which is smaller: −5/7 or 3/5? (a) 3/5 (b) −5/7
  36. 36.What is the additive inverse of −8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  37. 37.What is (−1/9) + (−4/9)? (a) 5/9 (b) −5/9 (c) 1/3 (d) −5/18
  38. 38.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  39. 39.Is 7/6 positive or negative? (a) Negative (b) Positive
  40. 40.Which is smaller: −1/8 or 5/6? (a) −1/8 (b) 5/6

Answer key

  1. −1/4
  2. −3/8
  3. Negative
  4. 3/20
  5. 1/6
  6. −5/7
  7. 3/4
  8. −5/7
  9. −3/7
  10. 5
  11. 7/24
  12. 1/4
  13. −37/42
  14. −4/9
  15. −2/9
  16. −3/7
  17. 1/2
  18. −17/12
  19. −23/42
  20. −1/4
  21. −103/72
  22. −13/30
  23. −29/36
  24. −1/18
  25. 5/8
  26. −19/40
  27. −101/63
  28. Negative
  29. 11/7
  30. −3/5
  31. Positive
  32. −4/9
  33. −1/9
  34. 1/7
  35. −5/7
  36. 8/9
  37. −5/9
  38. −8
  39. Positive
  40. −1/8

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