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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 474 · 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 4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  2. 2.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−1/4) + 1/4? (a) −1/2 (b) 0
  4. 4.Write −10/16 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −10/16 (c) −8/5 (d) −5/8
  5. 5.Which is smaller: −1/3 or −1/5? (a) −1/5 (b) −1/3
  6. 6.Which is bigger: −5/8 or −1/2? (a) −5/8 (b) −1/2
  7. 7.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  8. 8.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  9. 9.What is the additive inverse of 2/7? (a) −7/2 (b) −2/7 (c) 2/7 (d) 7/2
  10. 10.What is the additive inverse of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  11. 11.Is 2/5 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −5/7 or 2/7? (a) −5/7 (b) 2/7
  13. 13.Which is smaller: −1/8 or −2/7? (a) −1/8 (b) −2/7
  14. 14.Which is smaller: −5/6 or 2/7? (a) −5/6 (b) 2/7
  15. 15.What is (−1/3) − 3/5? (a) 14/15 (b) −14/15 (c) −1/2 (d) 4/15
  16. 16.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −24/28 (c) 6/7 (d) −6/7
  17. 17.What is (−6/7) + (−6/7)? (a) 12/7 (b) 0 (c) −12/7 (d) −6/7
  18. 18.What is (−1/9) − (−1/4)? (a) 5/36 (b) 0 (c) −13/36 (d) −5/36
  19. 19.What is 1/3 − (−1/9)? (a) 1/6 (b) −4/9 (c) 4/9 (d) 2/9
  20. 20.What is (−1/3) − (−4/5)? (a) 3/8 (b) −17/15 (c) −7/15 (d) 7/15
  21. 21.What is the additive inverse of −2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  22. 22.Which is smaller: −3/8 or −1/3? (a) −1/3 (b) −3/8
  23. 23.Which is bigger: −3/5 or 4/5? (a) −3/5 (b) 4/5
  24. 24.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −4/36 (b) 1/9 (c) −9/1 (d) −1/9
  25. 25.Which is smaller: −2/9 or −3/5? (a) −2/9 (b) −3/5
  26. 26.Is 9/2 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−1/4) + 4/7? (a) −9/28 (b) 9/28 (c) 3/11 (d) −23/28
  28. 28.What is 1/4 + (−2/5)? (a) 3/20 (b) −3/20 (c) −1/9 (d) 13/20
  29. 29.What is (−5/6) + 2/7? (a) −47/42 (b) −23/42 (c) −3/13 (d) 23/42
  30. 30.What is (−4/9) − 1/3? (a) −7/9 (b) −1/9 (c) 7/9 (d) −5/12
  31. 31.What is 3/4 + (−3/8)? (a) 3/8 (b) 0 (c) 9/8 (d) −3/8
  32. 32.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  33. 33.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  34. 34.Which is bigger: −4/5 or −7/8? (a) −7/8 (b) −4/5
  35. 35.Write −18/21 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −18/21 (c) 6/7 (d) −6/7
  36. 36.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −4/12 (b) −3/1 (c) −1/3 (d) 1/3
  37. 37.Which is bigger: −4/5 or −1/5? (a) −4/5 (b) −1/5
  38. 38.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  39. 39.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −12/42 (c) −2/7 (d) 2/7
  40. 40.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9

Answer key

  1. −4/9
  2. Positive
  3. 0
  4. −5/8
  5. −1/3
  6. −1/2
  7. Negative
  8. Negative
  9. −2/7
  10. −1/9
  11. Positive
  12. 2/7
  13. −2/7
  14. −5/6
  15. −14/15
  16. −6/7
  17. −12/7
  18. 5/36
  19. 4/9
  20. 7/15
  21. 2/9
  22. −3/8
  23. 4/5
  24. −1/9
  25. −3/5
  26. Positive
  27. 9/28
  28. −3/20
  29. −23/42
  30. −7/9
  31. 3/8
  32. Positive
  33. −8/7
  34. −4/5
  35. −6/7
  36. −1/3
  37. −1/5
  38. −8
  39. −2/7
  40. −2/9

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