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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 894 · 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 (−2/5) − 2/5? (a) −4/5 (b) −2/5 (c) 4/5 (d) 0
  2. 2.Which is bigger: −1/6 or 2/9? (a) −1/6 (b) 2/9
  3. 3.What is the additive inverse of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  4. 4.Is 2/8 positive or negative? (a) Negative (b) Positive
  5. 5.Is −7/7 positive or negative? (a) Positive (b) Negative
  6. 6.What is (−2/5) + (−2/5)? (a) −2/5 (b) 4/5 (c) 0 (d) −4/5
  7. 7.What is (−2/9) + (−8/9)? (a) 2/3 (b) 10/9 (c) −5/9 (d) −10/9
  8. 8.What is (−1/6) − 7/8? (a) −25/24 (b) 17/24 (c) 25/24 (d) −4/7
  9. 9.Write −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −18/21 (c) −6/7 (d) −7/6
  10. 10.What is (−1/7) + (−4/9)? (a) 37/63 (b) −37/63 (c) −5/16 (d) 19/63
  11. 11.What is 5/9 − (−1/5)? (a) −34/45 (b) 16/45 (c) 34/45 (d) 3/7
  12. 12.What is 2/5 + (−3/4)? (a) 7/20 (b) 23/20 (c) −1/9 (d) −7/20
  13. 13.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  14. 14.Is −8/8 positive or negative? (a) Positive (b) Negative
  15. 15.Which is smaller: −2/7 or −4/5? (a) −2/7 (b) −4/5
  16. 16.What is (−7/9) + (−1/6)? (a) 17/18 (b) −11/18 (c) −8/15 (d) −17/18
  17. 17.What is (−5/6) − 1/5? (a) 31/30 (b) −31/30 (c) −19/30 (d) −6/11
  18. 18.What is (−4/7) − 3/4? (a) 5/28 (b) −7/11 (c) 37/28 (d) −37/28
  19. 19.Which is bigger: −6/7 or 5/7? (a) −6/7 (b) 5/7
  20. 20.What is (−1/5) + 1/2? (a) 0 (b) −7/10 (c) 3/10 (d) −3/10
  21. 21.What is (−5/6) + (−4/9)? (a) −7/18 (b) −23/18 (c) −3/5 (d) 23/18
  22. 22.What is 1/9 + (−1/2)? (a) 7/18 (b) −7/18 (c) 11/18 (d) 0
  23. 23.Which is bigger: −2/5 or 5/9? (a) 5/9 (b) −2/5
  24. 24.Which is smaller: −1/3 or 4/9? (a) 4/9 (b) −1/3
  25. 25.Which is smaller: −3/7 or 4/9? (a) −3/7 (b) 4/9
  26. 26.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  27. 27.What is 1/3 + (−1/6)? (a) −1/6 (b) 1/6 (c) 0 (d) 1/2
  28. 28.What is the additive inverse of −6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  29. 29.Which is bigger: −1/3 or −3/8? (a) −1/3 (b) −3/8
  30. 30.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  31. 31.Is 7/2 positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −7/8 or −7/9? (a) −7/8 (b) −7/9
  33. 33.Write −15/40 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) 3/8 (d) −15/40
  34. 34.What is (−7/8) − 6/7? (a) 97/56 (b) −13/15 (c) −1/56 (d) −97/56
  35. 35.What is 2/3 + (−2/5)? (a) 0 (b) −4/15 (c) 4/15 (d) 16/15
  36. 36.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −12/15 (c) −5/4 (d) −4/5
  37. 37.Which is smaller: −1/6 or −1/9? (a) −1/9 (b) −1/6
  38. 38.What is the additive inverse of 3/7? (a) −3/7 (b) 3/7 (c) 7/3 (d) −7/3
  39. 39.What is (−1/5) + 1/9? (a) 4/45 (b) −4/45 (c) −14/45 (d) 0
  40. 40.Which is bigger: −3/7 or −5/7? (a) −5/7 (b) −3/7

Answer key

  1. −4/5
  2. 2/9
  3. 5/9
  4. Positive
  5. Negative
  6. −4/5
  7. −10/9
  8. −25/24
  9. −6/7
  10. −37/63
  11. 34/45
  12. −7/20
  13. Negative
  14. Negative
  15. −4/5
  16. −17/18
  17. −31/30
  18. −37/28
  19. 5/7
  20. 3/10
  21. −23/18
  22. −7/18
  23. 5/9
  24. −1/3
  25. −3/7
  26. 8/7
  27. 1/6
  28. 6/7
  29. −1/3
  30. Positive
  31. Positive
  32. −7/9
  33. −3/8
  34. −97/56
  35. 4/15
  36. −4/5
  37. −1/6
  38. −3/7
  39. −4/45
  40. −3/7

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