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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 701 · 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 (−7/9) + (−1/7)? (a) −1/2 (b) −58/63 (c) 58/63 (d) −40/63
  2. 2.What is (−4/7) + (−1/8)? (a) 39/56 (b) −25/56 (c) −39/56 (d) −1/3
  3. 3.Is −3/4 positive or negative? (a) Positive (b) Negative
  4. 4.Is −1/3 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−5/9) − (−3/8)? (a) −67/72 (b) 13/72 (c) −13/72 (d) −2/17
  6. 6.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  7. 7.What is (−2/3) − (−2/7)? (a) 0 (b) −8/21 (c) 8/21 (d) −20/21
  8. 8.What is (−2/9) − 2/9? (a) −2/9 (b) 0 (c) 4/9 (d) −4/9
  9. 9.What is the additive inverse of −5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  10. 10.What is the additive inverse of −3/4? (a) 4/3 (b) 3/4 (c) −3/4 (d) −4/3
  11. 11.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  12. 12.Is 8/2 positive or negative? (a) Positive (b) Negative
  13. 13.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  14. 14.What is the additive inverse of −1/9? (a) −1/9 (b) 9 (c) −9 (d) 1/9
  15. 15.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of −5/7? (a) −5/7 (b) 7/5 (c) 5/7 (d) −7/5
  17. 17.What is 4/9 + (−1/8)? (a) −23/72 (b) 3/17 (c) 41/72 (d) 23/72
  18. 18.Write −12/21 in standard form (lowest terms, positive denominator). (a) −12/21 (b) 4/7 (c) −4/7 (d) −7/4
  19. 19.Which is bigger: −7/8 or −7/9? (a) −7/8 (b) −7/9
  20. 20.Write −15/40 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) 3/8 (d) −15/40
  21. 21.Which is smaller: −8/9 or 4/5? (a) −8/9 (b) 4/5
  22. 22.Write −18/30 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −18/30 (d) −5/3
  23. 23.Is 1/4 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −5/8 or 3/5? (a) −5/8 (b) 3/5
  25. 25.What is (−3/5) + 1/5? (a) −2/5 (b) −4/5 (c) 2/5 (d) −1/5
  26. 26.Is 1/2 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−1/4) + (−2/5)? (a) −1/3 (b) 13/20 (c) −13/20 (d) 3/20
  28. 28.Which is bigger: −3/8 or −4/5? (a) −3/8 (b) −4/5
  29. 29.What is (−1/6) + (−2/3)? (a) 5/6 (b) −1/3 (c) 1/2 (d) −5/6
  30. 30.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  31. 31.What is the additive inverse of 5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  32. 32.What is (−1/6) + (−4/9)? (a) −11/18 (b) 11/18 (c) −1/3 (d) 5/18
  33. 33.Which is smaller: −1/3 or 2/7? (a) −1/3 (b) 2/7
  34. 34.Which is bigger: −5/7 or −1/8? (a) −5/7 (b) −1/8
  35. 35.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/5) − 7/8? (a) 43/40 (b) −43/40 (c) −8/13 (d) 27/40
  37. 37.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −4/16 (d) −1/4
  38. 38.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  39. 39.What is 5/8 + (−2/7)? (a) 51/56 (b) −19/56 (c) 19/56 (d) 1/5
  40. 40.What is 5/8 − (−1/4)? (a) 3/8 (b) 7/8 (c) −7/8 (d) 1/2

Answer key

  1. −58/63
  2. −39/56
  3. Negative
  4. Negative
  5. −13/72
  6. 9/5
  7. −8/21
  8. −4/9
  9. 5/8
  10. 3/4
  11. −5/2
  12. Positive
  13. Negative
  14. 1/9
  15. Negative
  16. 5/7
  17. 23/72
  18. −4/7
  19. −7/9
  20. −3/8
  21. −8/9
  22. −3/5
  23. Positive
  24. 3/5
  25. −2/5
  26. Positive
  27. −13/20
  28. −3/8
  29. −5/6
  30. Negative
  31. −5/9
  32. −11/18
  33. −1/3
  34. −1/8
  35. Negative
  36. −43/40
  37. −1/4
  38. 8/7
  39. 19/56
  40. 7/8

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