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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 704 · 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 −6/4 positive or negative? (a) Positive (b) Negative
  2. 2.What is 1/4 + (−4/7)? (a) −3/11 (b) 9/28 (c) −9/28 (d) 23/28
  3. 3.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  4. 4.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  5. 5.What is the additive inverse of 1/8? (a) 1/8 (b) 8 (c) −1/8 (d) −8
  6. 6.Which is smaller: −5/7 or 1/2? (a) 1/2 (b) −5/7
  7. 7.What is (−3/7) − 7/8? (a) 25/56 (b) −2/3 (c) −73/56 (d) 73/56
  8. 8.Which is smaller: −1/8 or 5/8? (a) 5/8 (b) −1/8
  9. 9.Is 6/5 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−1/2) + 5/7? (a) −17/14 (b) −3/14 (c) 4/9 (d) 3/14
  11. 11.What is (−4/9) − 3/7? (a) −55/63 (b) 55/63 (c) −7/16 (d) −1/63
  12. 12.Which is bigger: −2/9 or −4/7? (a) −4/7 (b) −2/9
  13. 13.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −4/36
  14. 14.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  15. 15.What is (−7/8) − (−4/7)? (a) 17/56 (b) −1/5 (c) −17/56 (d) −81/56
  16. 16.What is (−4/7) − 7/8? (a) 81/56 (b) 17/56 (c) −11/15 (d) −81/56
  17. 17.Which is bigger: −1/8 or −2/3? (a) −2/3 (b) −1/8
  18. 18.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/9 (b) −1/3 (c) −3/1 (d) 1/3
  19. 19.Which is bigger: −5/9 or −5/6? (a) −5/6 (b) −5/9
  20. 20.What is (−1/8) − 1/5? (a) −2/13 (b) −13/40 (c) 3/40 (d) 13/40
  21. 21.Which is bigger: −5/8 or −1/8? (a) −1/8 (b) −5/8
  22. 22.What is 5/7 − (−3/8)? (a) −61/56 (b) 19/56 (c) 61/56 (d) 8/15
  23. 23.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  24. 24.Which is bigger: −7/9 or −1/3? (a) −7/9 (b) −1/3
  25. 25.What is (−3/4) + 3/7? (a) 0 (b) −9/28 (c) 9/28 (d) −33/28
  26. 26.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −10/15 (c) −3/2 (d) −2/3
  27. 27.Which is bigger: −1/9 or −1/7? (a) −1/7 (b) −1/9
  28. 28.Which is bigger: −4/7 or 3/5? (a) −4/7 (b) 3/5
  29. 29.What is (−2/3) + 2/5? (a) −16/15 (b) 4/15 (c) −4/15 (d) 0
  30. 30.Is −2/8 positive or negative? (a) Negative (b) Positive
  31. 31.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  32. 32.What is 4/7 + (−4/7)? (a) 0 (b) 8/7
  33. 33.What is (−1/9) − (−2/7)? (a) −25/63 (b) 11/63 (c) 1/16 (d) −11/63
  34. 34.What is (−2/5) + (−1/9)? (a) 23/45 (b) −13/45 (c) −23/45 (d) −3/14
  35. 35.What is 2/9 + (−3/8)? (a) −1/17 (b) −11/72 (c) 11/72 (d) 43/72
  36. 36.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  37. 37.What is the additive inverse of −2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  38. 38.What is 4/7 + (−6/7)? (a) 2/7 (b) −1/7 (c) −2/7 (d) 10/7
  39. 39.Which is bigger: −2/3 or 1/5? (a) 1/5 (b) −2/3
  40. 40.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3

Answer key

  1. Negative
  2. −9/28
  3. Negative
  4. Negative
  5. −1/8
  6. −5/7
  7. −73/56
  8. −1/8
  9. Positive
  10. 3/14
  11. −55/63
  12. −2/9
  13. −1/9
  14. 7/5
  15. −17/56
  16. −81/56
  17. −1/8
  18. −1/3
  19. −5/9
  20. −13/40
  21. −1/8
  22. 61/56
  23. −9/2
  24. −1/3
  25. −9/28
  26. −2/3
  27. −1/9
  28. 3/5
  29. −4/15
  30. Negative
  31. −2/7
  32. 0
  33. 11/63
  34. −23/45
  35. −11/72
  36. 7
  37. 2/7
  38. −2/7
  39. 1/5
  40. 3

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