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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 258 · 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 1/5 positive or negative? (a) Negative (b) Positive
  2. 2.What is the additive inverse of −1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  3. 3.Which is bigger: −4/5 or 2/7? (a) 2/7 (b) −4/5
  4. 4.What is (−1/6) + 6/7? (a) −29/42 (b) −43/42 (c) 5/13 (d) 29/42
  5. 5.What is (−2/7) + (−1/5)? (a) −3/35 (b) 17/35 (c) −1/4 (d) −17/35
  6. 6.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  7. 7.Which is smaller: −5/9 or −2/7? (a) −5/9 (b) −2/7
  8. 8.What is (−1/7) + (−3/4)? (a) 25/28 (b) −25/28 (c) 17/28 (d) −4/11
  9. 9.What is 3/8 + (−3/4)? (a) 0 (b) 3/8 (c) −3/8 (d) 9/8
  10. 10.What is (−1/7) + (−7/8)? (a) 41/56 (b) 57/56 (c) −57/56 (d) −8/15
  11. 11.Which is smaller: −1/6 or −1/4? (a) −1/4 (b) −1/6
  12. 12.What is the additive inverse of −5/6? (a) −6/5 (b) 6/5 (c) −5/6 (d) 5/6
  13. 13.Which is bigger: −1/5 or −4/7? (a) −4/7 (b) −1/5
  14. 14.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  15. 15.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  16. 16.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) −4/3 (c) 4/3 (d) 3/4
  17. 17.Which is smaller: −1/4 or −2/5? (a) −1/4 (b) −2/5
  18. 18.Which is bigger: −7/8 or −3/4? (a) −7/8 (b) −3/4
  19. 19.Which is smaller: −1/7 or −4/7? (a) −4/7 (b) −1/7
  20. 20.What is 3/8 − (−1/5)? (a) 4/13 (b) 23/40 (c) 7/40 (d) −23/40
  21. 21.What is 3/7 − (−6/7)? (a) −9/7 (b) 9/14 (c) −3/7 (d) 9/7
  22. 22.Write −10/18 in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −9/5 (d) −10/18
  23. 23.What is the additive inverse of 1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6
  24. 24.What is (−7/8) − (−1/3)? (a) −29/24 (b) −6/11 (c) −13/24 (d) 13/24
  25. 25.Which is smaller: −1/5 or −2/9? (a) −2/9 (b) −1/5
  26. 26.What is (−4/7) − 1/4? (a) 23/28 (b) −23/28 (c) −5/11 (d) −9/28
  27. 27.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) −9/4 (c) −4/9 (d) 4/9
  28. 28.Write −16/20 in standard form (lowest terms, positive denominator). (a) −16/20 (b) −4/5 (c) −5/4 (d) 4/5
  29. 29.What is (−3/7) + (−1/2)? (a) −13/14 (b) −4/9 (c) 13/14 (d) 1/14
  30. 30.Which is bigger: −1/4 or 3/7? (a) 3/7 (b) −1/4
  31. 31.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) 1/8 (c) −8 (d) 8
  32. 32.What is 7/8 + (−2/9)? (a) 5/17 (b) −47/72 (c) 47/72 (d) 79/72
  33. 33.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  34. 34.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  35. 35.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  36. 36.What is 2/7 + (−4/5)? (a) 18/35 (b) −18/35 (c) −1/6 (d) 38/35
  37. 37.Write −15/21 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −15/21 (c) 5/7 (d) −7/5
  38. 38.What is the additive inverse of −4/5? (a) −4/5 (b) −5/4 (c) 5/4 (d) 4/5
  39. 39.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  40. 40.Is 3/(−7) positive or negative? (a) Positive (b) Negative

Answer key

  1. Positive
  2. 1/2
  3. 2/7
  4. 29/42
  5. −17/35
  6. −8/7
  7. −5/9
  8. −25/28
  9. −3/8
  10. −57/56
  11. −1/4
  12. 5/6
  13. −1/5
  14. 9/7
  15. −3
  16. 4/3
  17. −2/5
  18. −3/4
  19. −4/7
  20. 23/40
  21. 9/7
  22. −5/9
  23. −1/6
  24. −13/24
  25. −2/9
  26. −23/28
  27. −9/4
  28. −4/5
  29. −13/14
  30. 3/7
  31. −8
  32. 47/72
  33. Positive
  34. −2/5
  35. Positive
  36. −18/35
  37. −5/7
  38. 4/5
  39. 8/7
  40. Negative

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