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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 361 · 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.Is −2/6 positive or negative? (a) Negative (b) Positive
  2. 2.What is (−1/2) + 2/9? (a) 1/11 (b) −5/18 (c) −13/18 (d) 5/18
  3. 3.Which is smaller: −1/4 or −1/5? (a) −1/4 (b) −1/5
  4. 4.Which is smaller: −1/2 or −7/9? (a) −1/2 (b) −7/9
  5. 5.Is −2/4 positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) 7/2 (c) 2/7 (d) −7/2
  7. 7.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −4/9 or −1/7? (a) −4/9 (b) −1/7
  9. 9.What is (−8/9) − (−1/9)? (a) 7/9 (b) −1 (c) −7/9 (d) −7/18
  10. 10.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) −8/5 (c) −5/8 (d) 5/8
  11. 11.What is (−1/6) + 5/9? (a) −7/18 (b) −13/18 (c) 7/18 (d) 4/15
  12. 12.Which is smaller: −3/5 or −5/6? (a) −3/5 (b) −5/6
  13. 13.What is the additive inverse of −4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  14. 14.What is (−1/7) + 3/8? (a) −29/56 (b) −13/56 (c) 2/15 (d) 13/56
  15. 15.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) 1/5 (d) −4/20
  16. 16.Which is smaller: −5/7 or −5/6? (a) −5/6 (b) −5/7
  17. 17.Is −7/(−6) positive or negative? (a) Negative (b) Positive
  18. 18.Is 8/3 positive or negative? (a) Positive (b) Negative
  19. 19.Is 3/6 positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of 1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  21. 21.Which is bigger: −5/9 or −5/7? (a) −5/7 (b) −5/9
  22. 22.Is −2/7 positive or negative? (a) Positive (b) Negative
  23. 23.What is the additive inverse of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  24. 24.What is 7/8 + (−1/9)? (a) 6/17 (b) −55/72 (c) 55/72 (d) 71/72
  25. 25.Which is smaller: −2/9 or −4/5? (a) −4/5 (b) −2/9
  26. 26.Which is smaller: −5/6 or −2/7? (a) −2/7 (b) −5/6
  27. 27.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  28. 28.What is 1/4 − (−4/7)? (a) −23/28 (b) −9/28 (c) 23/28 (d) 5/11
  29. 29.Is 1/(−6) positive or negative? (a) Positive (b) Negative
  30. 30.Is 3/(−8) positive or negative? (a) Negative (b) Positive
  31. 31.Which is smaller: −3/4 or −4/7? (a) −3/4 (b) −4/7
  32. 32.What is (−1/2) − 3/5? (a) 11/10 (b) −11/10 (c) 1/10 (d) −4/7
  33. 33.Which is bigger: −7/9 or 5/7? (a) 5/7 (b) −7/9
  34. 34.Is 3/4 positive or negative? (a) Negative (b) Positive
  35. 35.Which is bigger: −2/3 or −3/5? (a) −3/5 (b) −2/3
  36. 36.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −8/28
  37. 37.Is −2/9 positive or negative? (a) Negative (b) Positive
  38. 38.What is 1/2 + (−2/3)? (a) −1/6 (b) −1/5 (c) 7/6 (d) 1/6
  39. 39.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) 9/8 (c) 8/9 (d) −9/8
  40. 40.Is 2/(−8) positive or negative? (a) Positive (b) Negative

Answer key

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

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