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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 856 · 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: −4/5 or −6/7? (a) −6/7 (b) −4/5
  2. 2.What is 1/5 + (−1/3)? (a) 8/15 (b) −2/15 (c) 2/15 (d) 0
  3. 3.What is (−1/6) − (−5/7)? (a) −23/42 (b) 23/42 (c) 4/13 (d) −37/42
  4. 4.What is (−2/7) + 2/5? (a) −24/35 (b) 4/35 (c) −4/35 (d) 0
  5. 5.What is (−1/8) + (−4/5)? (a) 37/40 (b) 27/40 (c) −5/13 (d) −37/40
  6. 6.What is (−1/6) − 4/7? (a) 17/42 (b) −5/13 (c) 31/42 (d) −31/42
  7. 7.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −12/18 (c) 2/3 (d) −2/3
  8. 8.What is the additive inverse of 5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  9. 9.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  10. 10.What is (−2/3) + 1/2? (a) −7/6 (b) −1/5 (c) −1/6 (d) 1/6
  11. 11.Is −9/(−9) positive or negative? (a) Positive (b) Negative
  12. 12.Is −2/2 positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −1/7 or −2/9? (a) −1/7 (b) −2/9
  14. 14.What is 1/6 + (−5/6)? (a) 1 (b) −2/3 (c) 2/3 (d) −1/3
  15. 15.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  17. 17.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  18. 18.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  19. 19.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  20. 20.What is 3/8 − (−5/9)? (a) −67/72 (b) 8/17 (c) −13/72 (d) 67/72
  21. 21.Which is smaller: −1/4 or 4/5? (a) −1/4 (b) 4/5
  22. 22.What is (−7/8) + (−1/8)? (a) −3/4 (b) −1/2 (c) 1 (d) −1
  23. 23.What is 3/8 + (−1/9)? (a) 2/17 (b) 35/72 (c) −19/72 (d) 19/72
  24. 24.What is the additive inverse of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  25. 25.What is (−4/5) + (−5/9)? (a) −61/45 (b) −11/45 (c) −9/14 (d) 61/45
  26. 26.What is (−1/4) − (−1/2)? (a) 1/4 (b) −3/4 (c) 0 (d) −1/4
  27. 27.What is (−5/7) − 7/8? (a) 9/56 (b) −4/5 (c) 89/56 (d) −89/56
  28. 28.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  29. 29.What is (−3/7) + (−5/6)? (a) −53/42 (b) 53/42 (c) −8/13 (d) 17/42
  30. 30.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −21/24 (d) −7/8
  31. 31.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −12/14 (c) −6/7 (d) −7/6
  32. 32.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  33. 33.Which is bigger: −2/3 or 3/7? (a) 3/7 (b) −2/3
  34. 34.Is 1/2 positive or negative? (a) Negative (b) Positive
  35. 35.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−5/7) + 4/7? (a) −1/14 (b) −1/7 (c) 1/7 (d) −9/7
  37. 37.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  38. 38.What is 7/9 − (−1/2)? (a) 8/11 (b) −23/18 (c) 5/18 (d) 23/18
  39. 39.What is 1/3 + (−4/5)? (a) −7/15 (b) 17/15 (c) −3/8 (d) 7/15
  40. 40.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −5/30 (b) −6/1 (c) −1/6 (d) 1/6

Answer key

  1. −4/5
  2. −2/15
  3. 23/42
  4. 4/35
  5. −37/40
  6. −31/42
  7. −2/3
  8. −5/6
  9. 3/8
  10. −1/6
  11. Positive
  12. Negative
  13. −1/7
  14. −2/3
  15. Positive
  16. −3/2
  17. Negative
  18. Negative
  19. Negative
  20. 67/72
  21. −1/4
  22. −1
  23. 19/72
  24. 6/7
  25. −61/45
  26. 1/4
  27. −89/56
  28. Positive
  29. −53/42
  30. −7/8
  31. −6/7
  32. Negative
  33. 3/7
  34. Positive
  35. Positive
  36. −1/7
  37. Negative
  38. 23/18
  39. −7/15
  40. −1/6

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