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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 589 · 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.Which is smaller: −5/9 or −4/9? (a) −5/9 (b) −4/9
  2. 2.Is −3/8 positive or negative? (a) Positive (b) Negative
  3. 3.Which is bigger: −2/3 or 1/8? (a) 1/8 (b) −2/3
  4. 4.What is 2/7 − (−3/8)? (a) −37/56 (b) 37/56 (c) 1/3 (d) −5/56
  5. 5.Which is bigger: −2/7 or −7/9? (a) −2/7 (b) −7/9
  6. 6.What is (−1/6) + 3/7? (a) 2/13 (b) −25/42 (c) −11/42 (d) 11/42
  7. 7.What is (−1/5) + 4/9? (a) 11/45 (b) 3/14 (c) −29/45 (d) −11/45
  8. 8.Which is smaller: −7/9 or −5/8? (a) −5/8 (b) −7/9
  9. 9.What is (−1/6) − 5/7? (a) 23/42 (b) 37/42 (c) −6/13 (d) −37/42
  10. 10.Which is smaller: −2/9 or −5/6? (a) −2/9 (b) −5/6
  11. 11.What is the additive inverse of 2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  12. 12.Which is smaller: −5/8 or −1/3? (a) −1/3 (b) −5/8
  13. 13.What is 1/2 − (−3/4)? (a) 2/3 (b) 5/4 (c) −1/4 (d) −5/4
  14. 14.Write −10/35 in standard form (lowest terms, positive denominator). (a) −10/35 (b) −2/7 (c) −7/2 (d) 2/7
  15. 15.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −8/14 (d) −4/7
  16. 16.Which is smaller: −3/7 or 7/8? (a) 7/8 (b) −3/7
  17. 17.What is (−7/9) + (−8/9)? (a) 5/3 (b) 1/9 (c) −5/3 (d) −5/6
  18. 18.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  19. 19.Is 5/8 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/6) − (−7/9)? (a) 2/5 (b) −17/18 (c) 11/18 (d) −11/18
  21. 21.Which is bigger: −1/9 or −2/9? (a) −1/9 (b) −2/9
  22. 22.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −2/16 (d) −8/1
  23. 23.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  24. 24.What is (−1/9) + (−1/4)? (a) −13/36 (b) 13/36 (c) −2/13 (d) 5/36
  25. 25.Which is smaller: −2/3 or −1/3? (a) −2/3 (b) −1/3
  26. 26.What is (−1/3) − 1/2? (a) 5/6 (b) −5/6 (c) −2/5 (d) 1/6
  27. 27.What is the additive inverse of −3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  28. 28.What is (−7/9) − 2/9? (a) −1 (b) −1/2 (c) −5/9 (d) 1
  29. 29.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  30. 30.Write −12/54 in standard form (lowest terms, positive denominator). (a) −12/54 (b) −2/9 (c) −9/2 (d) 2/9
  31. 31.What is 1/9 − (−3/5)? (a) 32/45 (b) −32/45 (c) 2/7 (d) −22/45
  32. 32.What is (−4/9) + 2/9? (a) −2/3 (b) 2/9 (c) −1/9 (d) −2/9
  33. 33.What is (−1/5) + 5/7? (a) 1/3 (b) 18/35 (c) −18/35 (d) −32/35
  34. 34.What is (−4/5) − 5/6? (a) −49/30 (b) −9/11 (c) 1/30 (d) 49/30
  35. 35.What is 7/8 + (−2/5)? (a) −19/40 (b) 19/40 (c) 5/13 (d) 51/40
  36. 36.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  37. 37.Which is bigger: −1/7 or −1/9? (a) −1/7 (b) −1/9
  38. 38.What is 8/9 + (−1/8)? (a) −55/72 (b) 7/17 (c) 73/72 (d) 55/72
  39. 39.Which is smaller: −3/8 or −4/7? (a) −4/7 (b) −3/8
  40. 40.Write −5/45 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −5/45 (d) −9/1

Answer key

  1. −5/9
  2. Negative
  3. 1/8
  4. 37/56
  5. −2/7
  6. 11/42
  7. 11/45
  8. −7/9
  9. −37/42
  10. −5/6
  11. −2/5
  12. −5/8
  13. 5/4
  14. −2/7
  15. −4/7
  16. −3/7
  17. −5/3
  18. Negative
  19. Positive
  20. 11/18
  21. −1/9
  22. −1/8
  23. 7/8
  24. −13/36
  25. −2/3
  26. −5/6
  27. 3/5
  28. −1
  29. 4
  30. −2/9
  31. 32/45
  32. −2/9
  33. 18/35
  34. −49/30
  35. 19/40
  36. −9/4
  37. −1/9
  38. 55/72
  39. −4/7
  40. −1/9

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