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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 413 · 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.What is (−3/5) + (−5/6)? (a) 43/30 (b) −43/30 (c) −8/11 (d) 7/30
  2. 2.What is (−5/6) + 1/8? (a) −2/7 (b) −17/24 (c) −23/24 (d) 17/24
  3. 3.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) −1/2 (d) 1/2
  4. 4.Is 7/5 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−5/9) − 1/5? (a) −3/7 (b) 34/45 (c) −34/45 (d) −16/45
  6. 6.What is 3/8 − (−2/3)? (a) −25/24 (b) −7/24 (c) 25/24 (d) 5/11
  7. 7.Is 7/9 positive or negative? (a) Positive (b) Negative
  8. 8.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  9. 9.What is the additive inverse of −1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  10. 10.What is 3/4 − (−2/9)? (a) 19/36 (b) −35/36 (c) 5/13 (d) 35/36
  11. 11.Which is smaller: −1/9 or 3/8? (a) 3/8 (b) −1/9
  12. 12.What is (−2/7) + 7/9? (a) 31/63 (b) −67/63 (c) −31/63 (d) 5/16
  13. 13.What is (−1/9) − (−1/8)? (a) 0 (b) 1/72 (c) −1/72 (d) −17/72
  14. 14.Which is bigger: −3/5 or 3/4? (a) 3/4 (b) −3/5
  15. 15.Is 8/(−4) positive or negative? (a) Negative (b) Positive
  16. 16.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  17. 17.Write −12/20 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −12/20 (d) 3/5
  18. 18.What is the additive inverse of −2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  19. 19.Which is bigger: −4/9 or −3/8? (a) −3/8 (b) −4/9
  20. 20.What is the additive inverse of 3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  21. 21.What is (−1/5) − (−1/2)? (a) 0 (b) 3/10 (c) −3/10 (d) −7/10
  22. 22.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −8/1 (d) −2/16
  23. 23.Which is smaller: −5/6 or 2/9? (a) −5/6 (b) 2/9
  24. 24.What is 3/5 − (−1/4)? (a) 4/9 (b) −17/20 (c) 17/20 (d) 7/20
  25. 25.What is (−1/4) + 8/9? (a) 7/13 (b) −23/36 (c) 23/36 (d) −41/36
  26. 26.What is (−5/6) − 1/4? (a) −3/5 (b) 13/12 (c) −13/12 (d) −7/12
  27. 27.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −5/30 (c) 1/6 (d) −1/6
  28. 28.What is (−3/8) + 8/9? (a) −91/72 (b) 37/72 (c) 5/17 (d) −37/72
  29. 29.Which is bigger: −2/7 or −2/3? (a) −2/3 (b) −2/7
  30. 30.Which is bigger: −5/8 or 5/9? (a) −5/8 (b) 5/9
  31. 31.What is (−5/7) − 5/9? (a) −10/63 (b) −80/63 (c) −5/8 (d) 80/63
  32. 32.Which is bigger: −1/6 or −2/3? (a) −2/3 (b) −1/6
  33. 33.Which is smaller: −1/2 or 3/7? (a) 3/7 (b) −1/2
  34. 34.What is (−1/2) + (−2/9)? (a) 13/18 (b) −3/11 (c) −5/18 (d) −13/18
  35. 35.What is the additive inverse of −3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  36. 36.Is −8/(−9) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−2/9) + (−1/7)? (a) −3/16 (b) −5/63 (c) 23/63 (d) −23/63
  38. 38.What is (−7/8) + 3/4? (a) −1/3 (b) 1/8 (c) −1/8 (d) −13/8
  39. 39.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  40. 40.What is the additive inverse of 4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7

Answer key

  1. −43/30
  2. −17/24
  3. −1/2
  4. Positive
  5. −34/45
  6. 25/24
  7. Positive
  8. 8
  9. 1/3
  10. 35/36
  11. −1/9
  12. 31/63
  13. 1/72
  14. 3/4
  15. Negative
  16. Negative
  17. −3/5
  18. 2/5
  19. −3/8
  20. −3/7
  21. 3/10
  22. −1/8
  23. −5/6
  24. 17/20
  25. 23/36
  26. −13/12
  27. −1/6
  28. 37/72
  29. −2/7
  30. 5/9
  31. −80/63
  32. −1/6
  33. −1/2
  34. −13/18
  35. 3/8
  36. Positive
  37. −23/63
  38. −1/8
  39. 7/6
  40. −4/7

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