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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 714 · 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.Is 9/(−8) positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −1/4 or −5/6? (a) −1/4 (b) −5/6
  3. 3.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  4. 4.Which is bigger: −3/5 or −2/9? (a) −2/9 (b) −3/5
  5. 5.Is −9/3 positive or negative? (a) Positive (b) Negative
  6. 6.Which is smaller: −5/6 or 1/2? (a) 1/2 (b) −5/6
  7. 7.What is (−3/4) − (−5/9)? (a) 2/13 (b) 7/36 (c) −47/36 (d) −7/36
  8. 8.Which is bigger: −5/7 or −1/3? (a) −5/7 (b) −1/3
  9. 9.Is −5/8 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−3/8) − 1/5? (a) −7/40 (b) −4/13 (c) 23/40 (d) −23/40
  11. 11.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −15/27 (d) 5/9
  12. 12.Write −5/35 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −5/35 (c) −7/1 (d) 1/7
  13. 13.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −28/36
  14. 14.Which is smaller: −7/9 or 3/4? (a) 3/4 (b) −7/9
  15. 15.What is (−5/6) − (−2/9)? (a) −11/18 (b) −1/5 (c) −19/18 (d) 11/18
  16. 16.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −15/27
  17. 17.What is (−3/7) − 7/8? (a) 73/56 (b) −2/3 (c) −73/56 (d) 25/56
  18. 18.Which is smaller: −1/2 or 1/8? (a) 1/8 (b) −1/2
  19. 19.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  20. 20.What is (−1/7) + 1/4? (a) −11/28 (b) −3/28 (c) 0 (d) 3/28
  21. 21.What is (−5/6) + 3/7? (a) −17/42 (b) −2/13 (c) −53/42 (d) 17/42
  22. 22.Which is smaller: −1/5 or −1/2? (a) −1/5 (b) −1/2
  23. 23.What is the reciprocal (multiplicative inverse) of 5/8? (a) 8/5 (b) 5/8 (c) −8/5 (d) −5/8
  24. 24.Which is bigger: −1/8 or −5/6? (a) −5/6 (b) −1/8
  25. 25.Which is bigger: −5/6 or 4/9? (a) 4/9 (b) −5/6
  26. 26.Is 4/(−8) positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −4/5 or −3/5? (a) −4/5 (b) −3/5
  28. 28.Is 2/2 positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −5/8 or −7/9? (a) −7/9 (b) −5/8
  30. 30.What is 1/8 + (−2/7)? (a) 23/56 (b) −9/56 (c) −1/15 (d) 9/56
  31. 31.What is (−4/7) + 8/9? (a) −20/63 (b) −92/63 (c) 1/4 (d) 20/63
  32. 32.What is the additive inverse of 2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  33. 33.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −12/18 (c) −2/3 (d) −3/2
  34. 34.What is (−5/7) + 5/9? (a) 10/63 (b) −80/63 (c) −10/63 (d) 0
  35. 35.What is 1/8 + (−4/9)? (a) 41/72 (b) 23/72 (c) −3/17 (d) −23/72
  36. 36.Write −14/16 in standard form (lowest terms, positive denominator). (a) −14/16 (b) −7/8 (c) −8/7 (d) 7/8
  37. 37.Which is bigger: −2/9 or −4/5? (a) −4/5 (b) −2/9
  38. 38.Which is bigger: −3/5 or 1/5? (a) −3/5 (b) 1/5
  39. 39.Which is bigger: −3/8 or −6/7? (a) −6/7 (b) −3/8
  40. 40.Which is smaller: −1/8 or 2/3? (a) −1/8 (b) 2/3

Answer key

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

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