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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 448 · 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 the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  2. 2.Write −12/30 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) 2/5 (d) −12/30
  3. 3.Which is smaller: −3/5 or −1/6? (a) −3/5 (b) −1/6
  4. 4.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  5. 5.Is 3/8 positive or negative? (a) Positive (b) Negative
  6. 6.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) −20/35 (d) 4/7
  7. 7.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  8. 8.What is 1/3 + (−4/7)? (a) 19/21 (b) −5/21 (c) 5/21 (d) −3/10
  9. 9.Which is smaller: −8/9 or −2/5? (a) −2/5 (b) −8/9
  10. 10.Which is bigger: −1/5 or 4/7? (a) −1/5 (b) 4/7
  11. 11.Which is bigger: −1/7 or 4/5? (a) 4/5 (b) −1/7
  12. 12.What is (−5/8) − (−2/7)? (a) −19/56 (b) −1/5 (c) −51/56 (d) 19/56
  13. 13.What is (−3/8) + 5/6? (a) −29/24 (b) −11/24 (c) 1/7 (d) 11/24
  14. 14.What is (−1/4) − 5/7? (a) −6/11 (b) 13/28 (c) 27/28 (d) −27/28
  15. 15.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  16. 16.Which is smaller: −1/2 or −1/8? (a) −1/2 (b) −1/8
  17. 17.Which is bigger: −1/6 or 4/5? (a) −1/6 (b) 4/5
  18. 18.What is 3/5 − (−5/8)? (a) −49/40 (b) 8/13 (c) 49/40 (d) −1/40
  19. 19.Is −6/2 positive or negative? (a) Positive (b) Negative
  20. 20.What is (−4/9) + (−3/8)? (a) −59/72 (b) −5/72 (c) −7/17 (d) 59/72
  21. 21.Write −10/15 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −10/15 (c) 2/3 (d) −2/3
  22. 22.What is (−8/9) − (−1/3)? (a) −11/9 (b) 5/9 (c) −5/9 (d) −7/12
  23. 23.What is 1/6 + (−2/9)? (a) −1/15 (b) 1/18 (c) 7/18 (d) −1/18
  24. 24.What is the additive inverse of −1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  25. 25.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) −6 (c) 1/6 (d) 6
  26. 26.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  27. 27.What is (−4/7) − (−1/7)? (a) −5/7 (b) 3/7 (c) −3/14 (d) −3/7
  28. 28.What is (−4/9) + (−5/6)? (a) 23/18 (b) −23/18 (c) −3/5 (d) 7/18
  29. 29.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −5/4 (d) −20/25
  30. 30.What is (−7/8) + (−5/9)? (a) −23/72 (b) 103/72 (c) −12/17 (d) −103/72
  31. 31.What is 4/7 + (−1/4)? (a) 3/11 (b) −9/28 (c) 23/28 (d) 9/28
  32. 32.Is 4/5 positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −3/4 or 2/7? (a) −3/4 (b) 2/7
  34. 34.What is 1/2 + (−5/9)? (a) −1/18 (b) 19/18 (c) −4/11 (d) 1/18
  35. 35.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) 1/5 (c) 5 (d) −5
  36. 36.What is (−5/8) + 8/9? (a) −19/72 (b) 19/72 (c) −109/72 (d) 3/17
  37. 37.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  38. 38.Which is smaller: −1/8 or −1/7? (a) −1/7 (b) −1/8
  39. 39.What is (−1/3) − (−3/4)? (a) 5/12 (b) −5/12 (c) 2/7 (d) −13/12
  40. 40.Which is smaller: −1/6 or 5/6? (a) −1/6 (b) 5/6

Answer key

  1. −5/8
  2. −2/5
  3. −3/5
  4. 1/5
  5. Positive
  6. −4/7
  7. Negative
  8. −5/21
  9. −8/9
  10. 4/7
  11. 4/5
  12. −19/56
  13. 11/24
  14. −27/28
  15. 6/5
  16. −1/2
  17. 4/5
  18. 49/40
  19. Negative
  20. −59/72
  21. −2/3
  22. −5/9
  23. −1/18
  24. 1/9
  25. −6
  26. 7
  27. −3/7
  28. −23/18
  29. −4/5
  30. −103/72
  31. 9/28
  32. Positive
  33. 2/7
  34. −1/18
  35. −5
  36. 19/72
  37. −7/4
  38. −1/7
  39. 5/12
  40. −1/6

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