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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 813 · 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 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  2. 2.Which is bigger: −8/9 or −3/7? (a) −8/9 (b) −3/7
  3. 3.Which is smaller: −1/4 or −5/8? (a) −1/4 (b) −5/8
  4. 4.Is 2/4 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−2/3) + 3/8? (a) 7/24 (b) −7/24 (c) −25/24 (d) 1/11
  6. 6.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  7. 7.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −6/15
  8. 8.What is 2/3 − (−4/5)? (a) −2/15 (b) 22/15 (c) −22/15 (d) 3/4
  9. 9.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  10. 10.What is 1/7 + (−6/7)? (a) 1 (b) 5/7 (c) −5/14 (d) −5/7
  11. 11.What is (−1/6) + (−4/9)? (a) −1/3 (b) 5/18 (c) 11/18 (d) −11/18
  12. 12.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −10/18
  13. 13.Write −4/10 in standard form (lowest terms, positive denominator). (a) −4/10 (b) −2/5 (c) −5/2 (d) 2/5
  14. 14.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −12/27 (b) −4/9 (c) 4/9 (d) −9/4
  15. 15.Which is bigger: −8/9 or 1/2? (a) −8/9 (b) 1/2
  16. 16.What is (−3/5) − (−5/8)? (a) 1/40 (b) −49/40 (c) 2/13 (d) −1/40
  17. 17.Which is smaller: −1/8 or −1/2? (a) −1/8 (b) −1/2
  18. 18.What is the additive inverse of −4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  19. 19.What is the additive inverse of 4/7? (a) 4/7 (b) −4/7 (c) 7/4 (d) −7/4
  20. 20.Which is bigger: −7/9 or −4/9? (a) −7/9 (b) −4/9
  21. 21.What is (−7/8) + (−7/9)? (a) −14/17 (b) 119/72 (c) −7/72 (d) −119/72
  22. 22.Is 2/6 positive or negative? (a) Negative (b) Positive
  23. 23.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) 3/8 (d) −18/48
  24. 24.What is 3/4 + (−1/9)? (a) 23/36 (b) 31/36 (c) −23/36 (d) 2/13
  25. 25.Is −5/3 positive or negative? (a) Negative (b) Positive
  26. 26.Is 7/3 positive or negative? (a) Positive (b) Negative
  27. 27.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  28. 28.Is 3/8 positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −1/3 or 6/7? (a) −1/3 (b) 6/7
  30. 30.What is (−1/8) − 3/4? (a) 7/8 (b) 5/8 (c) −1/3 (d) −7/8
  31. 31.Is 2/5 positive or negative? (a) Positive (b) Negative
  32. 32.What is 5/9 − (−1/3)? (a) 2/9 (b) 8/9 (c) 1/2 (d) −8/9
  33. 33.Which is smaller: −1/5 or 3/4? (a) 3/4 (b) −1/5
  34. 34.What is (−2/5) − 4/5? (a) 6/5 (b) −6/5 (c) −3/5 (d) 2/5
  35. 35.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −6/36 (c) 1/6 (d) −1/6
  36. 36.Which is bigger: −4/5 or 5/8? (a) −4/5 (b) 5/8
  37. 37.Is −9/4 positive or negative? (a) Negative (b) Positive
  38. 38.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −2/1 (d) −2/4
  39. 39.Which is bigger: −6/7 or −4/9? (a) −4/9 (b) −6/7
  40. 40.What is (−4/7) + 4/5? (a) −8/35 (b) 0 (c) 8/35 (d) −48/35

Answer key

  1. −2/5
  2. −3/7
  3. −5/8
  4. Positive
  5. −7/24
  6. Negative
  7. −2/5
  8. 22/15
  9. 8
  10. −5/7
  11. −11/18
  12. −5/9
  13. −2/5
  14. −4/9
  15. 1/2
  16. 1/40
  17. −1/2
  18. 4/5
  19. −4/7
  20. −4/9
  21. −119/72
  22. Positive
  23. −3/8
  24. 23/36
  25. Negative
  26. Positive
  27. −5/8
  28. Positive
  29. 6/7
  30. −7/8
  31. Positive
  32. 8/9
  33. −1/5
  34. −6/5
  35. −1/6
  36. 5/8
  37. Negative
  38. −1/2
  39. −4/9
  40. 8/35

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