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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 664 · 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.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) 1/5 (c) −5/1 (d) −1/5
  2. 2.Which is smaller: −6/7 or 5/6? (a) 5/6 (b) −6/7
  3. 3.Which is smaller: −5/8 or −3/5? (a) −3/5 (b) −5/8
  4. 4.Is −7/(−8) positive or negative? (a) Positive (b) Negative
  5. 5.Which is bigger: −5/6 or 6/7? (a) 6/7 (b) −5/6
  6. 6.What is the additive inverse of 3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  7. 7.Is −8/8 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−1/4) − 4/7? (a) −5/11 (b) 9/28 (c) 23/28 (d) −23/28
  9. 9.Write −6/9 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −6/9 (d) 2/3
  10. 10.Which is bigger: −2/5 or 4/7? (a) −2/5 (b) 4/7
  11. 11.Is 8/9 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −4/9 or −6/7? (a) −6/7 (b) −4/9
  13. 13.Is −2/3 positive or negative? (a) Negative (b) Positive
  14. 14.What is the additive inverse of 4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  15. 15.Which is smaller: −1/8 or −4/9? (a) −1/8 (b) −4/9
  16. 16.What is 3/4 + (−2/5)? (a) 1/9 (b) −7/20 (c) 7/20 (d) 23/20
  17. 17.Is 4/(−8) positive or negative? (a) Negative (b) Positive
  18. 18.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/2) − (−1/9)? (a) −7/18 (b) 0 (c) −11/18 (d) 7/18
  20. 20.What is (−5/6) − 5/7? (a) 65/42 (b) −10/13 (c) −5/42 (d) −65/42
  21. 21.What is the reciprocal (multiplicative inverse) of −7/9? (a) −9/7 (b) 7/9 (c) −7/9 (d) 9/7
  22. 22.Which is bigger: −1/6 or 2/9? (a) −1/6 (b) 2/9
  23. 23.Which is smaller: −1/3 or 4/7? (a) −1/3 (b) 4/7
  24. 24.What is 2/3 + (−2/3)? (a) 0 (b) 4/3
  25. 25.Is 3/2 positive or negative? (a) Positive (b) Negative
  26. 26.Is 7/5 positive or negative? (a) Positive (b) Negative
  27. 27.What is (−1/2) + (−1/3)? (a) −5/6 (b) 5/6 (c) −2/5 (d) −1/6
  28. 28.What is the additive inverse of −7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8
  29. 29.Which is bigger: −3/8 or 1/3? (a) −3/8 (b) 1/3
  30. 30.Is 8/2 positive or negative? (a) Negative (b) Positive
  31. 31.Is 5/7 positive or negative? (a) Positive (b) Negative
  32. 32.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −3/27
  33. 33.Is 9/8 positive or negative? (a) Negative (b) Positive
  34. 34.Is 7/9 positive or negative? (a) Positive (b) Negative
  35. 35.What is 1/4 + (−4/9)? (a) 7/36 (b) −7/36 (c) 25/36 (d) −3/13
  36. 36.Which is bigger: −3/5 or −7/9? (a) −3/5 (b) −7/9
  37. 37.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  38. 38.Which is smaller: −1/4 or −5/7? (a) −1/4 (b) −5/7
  39. 39.What is the additive inverse of 1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  40. 40.What is (−1/4) + 5/6? (a) −13/12 (b) 2/5 (c) −7/12 (d) 7/12

Answer key

  1. −1/5
  2. −6/7
  3. −5/8
  4. Positive
  5. 6/7
  6. −3/8
  7. Negative
  8. −23/28
  9. −2/3
  10. 4/7
  11. Positive
  12. −4/9
  13. Negative
  14. −4/9
  15. −4/9
  16. 7/20
  17. Negative
  18. Negative
  19. −7/18
  20. −65/42
  21. −9/7
  22. 2/9
  23. −1/3
  24. 0
  25. Positive
  26. Positive
  27. −5/6
  28. 7/8
  29. 1/3
  30. Positive
  31. Positive
  32. −1/9
  33. Positive
  34. Positive
  35. −7/36
  36. −3/5
  37. −1/3
  38. −5/7
  39. −1/2
  40. 7/12

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