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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 693 · 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.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −2/16 (b) 1/8 (c) −8/1 (d) −1/8
  2. 2.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−7/8) + (−3/7)? (a) −25/56 (b) −73/56 (c) −2/3 (d) 73/56
  4. 4.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  5. 5.What is 5/6 − (−1/6)? (a) 2/3 (b) 1/2 (c) −1 (d) 1
  6. 6.What is the additive inverse of −1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  7. 7.What is (−5/6) + 1/3? (a) 1/2 (b) −1/2 (c) −4/9 (d) −7/6
  8. 8.What is (−5/7) + 5/6? (a) −5/42 (b) 0 (c) −65/42 (d) 5/42
  9. 9.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  10. 10.What is (−1/6) + (−5/9)? (a) 13/18 (b) 7/18 (c) −2/5 (d) −13/18
  11. 11.Which is bigger: −2/9 or 8/9? (a) −2/9 (b) 8/9
  12. 12.What is (−1/3) − 2/5? (a) −3/8 (b) −11/15 (c) 11/15 (d) 1/15
  13. 13.What is 4/7 + (−1/5)? (a) 13/35 (b) −13/35 (c) 27/35 (d) 1/4
  14. 14.What is (−4/7) + 1/2? (a) −1/3 (b) −15/14 (c) 1/14 (d) −1/14
  15. 15.What is (−7/8) − 5/9? (a) 103/72 (b) −23/72 (c) −103/72 (d) −12/17
  16. 16.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −2/5 (d) −5/2
  17. 17.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7
  18. 18.Which is bigger: −5/8 or −3/8? (a) −3/8 (b) −5/8
  19. 19.Which is smaller: −5/9 or 4/7? (a) 4/7 (b) −5/9
  20. 20.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  21. 21.Is −1/(−2) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−3/8) − 2/5? (a) 31/40 (b) 1/40 (c) −31/40 (d) −5/13
  23. 23.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) 4/9 (c) 9/4 (d) −4/9
  24. 24.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  25. 25.What is 1/4 − (−1/4)? (a) 1/4 (b) −1/2 (c) 1/2 (d) 0
  26. 26.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  27. 27.What is (−3/5) + 3/8? (a) −39/40 (b) −9/40 (c) 0 (d) 9/40
  28. 28.Which is bigger: −8/9 or 7/8? (a) −8/9 (b) 7/8
  29. 29.What is 2/7 + (−3/8)? (a) −1/15 (b) −5/56 (c) 5/56 (d) 37/56
  30. 30.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −14/18 (c) −7/9 (d) −9/7
  31. 31.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  32. 32.What is (−5/9) − 7/9? (a) 4/3 (b) 2/9 (c) −2/3 (d) −4/3
  33. 33.Is −4/(−4) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−8/9) − (−2/5)? (a) −3/7 (b) −22/45 (c) −58/45 (d) 22/45
  35. 35.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  36. 36.What is (−5/9) + 1/6? (a) −7/18 (b) −4/15 (c) −13/18 (d) 7/18
  37. 37.Which is bigger: −4/9 or −1/9? (a) −4/9 (b) −1/9
  38. 38.What is (−3/8) + 4/7? (a) −11/56 (b) 1/15 (c) 11/56 (d) −53/56
  39. 39.What is (−8/9) − (−5/9)? (a) −1/3 (b) −13/9 (c) −1/6 (d) 1/3
  40. 40.What is 2/9 + (−4/7)? (a) −1/8 (b) −22/63 (c) 50/63 (d) 22/63

Answer key

  1. −1/8
  2. Positive
  3. −73/56
  4. Negative
  5. 1
  6. 1/2
  7. −1/2
  8. 5/42
  9. −7/4
  10. −13/18
  11. 8/9
  12. −11/15
  13. 13/35
  14. −1/14
  15. −103/72
  16. −2/5
  17. 7/6
  18. −3/8
  19. −5/9
  20. −9/2
  21. Positive
  22. −31/40
  23. 9/4
  24. Positive
  25. 1/2
  26. −9/5
  27. −9/40
  28. 7/8
  29. −5/56
  30. −7/9
  31. Negative
  32. −4/3
  33. Positive
  34. −22/45
  35. −2
  36. −7/18
  37. −1/9
  38. 11/56
  39. −1/3
  40. −22/63

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