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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 313 · 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 1/5? (a) −1/5 (b) 1/5 (c) 5 (d) −5
  2. 2.Is −7/(−6) positive or negative? (a) Positive (b) Negative
  3. 3.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/9 (d) −3/1
  4. 4.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −6/16 (c) 3/8 (d) −3/8
  5. 5.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  6. 6.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  7. 7.What is (−2/9) + 5/8? (a) 3/17 (b) −61/72 (c) 29/72 (d) −29/72
  8. 8.What is (−4/9) − (−5/9)? (a) −1 (b) 1/9 (c) 1/18 (d) −1/9
  9. 9.Which is smaller: −1/5 or −1/2? (a) −1/5 (b) −1/2
  10. 10.What is the additive inverse of −1/9? (a) 9 (b) 1/9 (c) −1/9 (d) −9
  11. 11.Which is bigger: −8/9 or −4/7? (a) −8/9 (b) −4/7
  12. 12.What is (−3/5) − 7/9? (a) −62/45 (b) 62/45 (c) −5/7 (d) 8/45
  13. 13.Is 8/3 positive or negative? (a) Negative (b) Positive
  14. 14.Is 8/(−4) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−4/9) − 5/6? (a) 7/18 (b) −23/18 (c) −3/5 (d) 23/18
  16. 16.Which is smaller: −4/5 or 3/7? (a) 3/7 (b) −4/5
  17. 17.Which is smaller: −2/9 or −1/7? (a) −1/7 (b) −2/9
  18. 18.Is 6/7 positive or negative? (a) Negative (b) Positive
  19. 19.What is (−7/8) + 4/5? (a) −3/40 (b) 3/40 (c) −3/13 (d) −67/40
  20. 20.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −8/9 (d) −9/8
  21. 21.Which is bigger: −5/9 or 2/3? (a) −5/9 (b) 2/3
  22. 22.What is the additive inverse of 1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  23. 23.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −5/35 (b) −1/7 (c) −7/1 (d) 1/7
  24. 24.Write −5/15 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −5/15 (d) −1/3
  25. 25.Is −4/(−7) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−2/3) − (−2/3)? (a) 0 (b) −4/3
  27. 27.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) 1/6 (c) 6 (d) −1/6
  28. 28.Which is bigger: −2/7 or −6/7? (a) −6/7 (b) −2/7
  29. 29.Is 1/9 positive or negative? (a) Negative (b) Positive
  30. 30.Is −3/4 positive or negative? (a) Positive (b) Negative
  31. 31.Which is smaller: −1/3 or −5/8? (a) −5/8 (b) −1/3
  32. 32.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  33. 33.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  34. 34.Which is bigger: −5/9 or −1/2? (a) −1/2 (b) −5/9
  35. 35.What is (−1/3) − 1/8? (a) 11/24 (b) −2/11 (c) −5/24 (d) −11/24
  36. 36.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  37. 37.What is (−3/8) + 3/4? (a) 0 (b) −9/8 (c) −3/8 (d) 3/8
  38. 38.Is 4/8 positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of 4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  40. 40.What is (−4/5) + (−4/9)? (a) 56/45 (b) −16/45 (c) −4/7 (d) −56/45

Answer key

  1. −1/5
  2. Positive
  3. −1/3
  4. −3/8
  5. Negative
  6. −8/5
  7. 29/72
  8. 1/9
  9. −1/2
  10. 1/9
  11. −4/7
  12. −62/45
  13. Positive
  14. Negative
  15. −23/18
  16. −4/5
  17. −2/9
  18. Positive
  19. −3/40
  20. −8/9
  21. 2/3
  22. −1/3
  23. −1/7
  24. −1/3
  25. Positive
  26. 0
  27. −6
  28. −2/7
  29. Positive
  30. Negative
  31. −5/8
  32. −2/3
  33. Positive
  34. −1/2
  35. −11/24
  36. Positive
  37. 3/8
  38. Positive
  39. −4/5
  40. −56/45

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