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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 560 · 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.Which is smaller: −1/3 or −1/5? (a) −1/5 (b) −1/3
  2. 2.What is the additive inverse of 1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  3. 3.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −7/9 or 3/4? (a) 3/4 (b) −7/9
  5. 5.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  6. 6.What is (−5/7) − 1/3? (a) −3/5 (b) −8/21 (c) 22/21 (d) −22/21
  7. 7.Which is bigger: −1/9 or −6/7? (a) −6/7 (b) −1/9
  8. 8.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  9. 9.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  10. 10.Which is bigger: −5/7 or 6/7? (a) 6/7 (b) −5/7
  11. 11.What is (−1/2) − 2/3? (a) 7/6 (b) −7/6 (c) 1/6 (d) −3/5
  12. 12.What is 2/9 + (−1/9)? (a) 1/3 (b) 1/9 (c) 1/18 (d) −1/9
  13. 13.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −1/3 or 7/9? (a) 7/9 (b) −1/3
  15. 15.What is (−1/5) − (−3/5)? (a) 2/5 (b) 1/5 (c) −2/5 (d) −4/5
  16. 16.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −2/8 (c) −1/4 (d) 1/4
  17. 17.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −18/24 (b) −3/4 (c) 3/4 (d) −4/3
  18. 18.What is the additive inverse of 7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  19. 19.What is (−5/6) + (−3/7)? (a) −17/42 (b) −53/42 (c) 53/42 (d) −8/13
  20. 20.Write −20/35 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −20/35 (c) 4/7 (d) −7/4
  21. 21.Is 6/4 positive or negative? (a) Positive (b) Negative
  22. 22.Is −8/(−2) positive or negative? (a) Positive (b) Negative
  23. 23.Write −10/25 in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −10/25
  24. 24.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −3/9
  25. 25.Is 1/(−9) positive or negative? (a) Negative (b) Positive
  26. 26.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −5/9 or 7/8? (a) −5/9 (b) 7/8
  28. 28.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  30. 30.What is (−2/9) − (−3/8)? (a) −43/72 (b) 11/72 (c) −11/72 (d) 1/17
  31. 31.What is (−3/7) + 1/5? (a) 8/35 (b) −22/35 (c) −1/6 (d) −8/35
  32. 32.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  33. 33.Which is bigger: −1/2 or 5/9? (a) 5/9 (b) −1/2
  34. 34.What is 3/5 − (−5/6)? (a) −43/30 (b) −7/30 (c) 43/30 (d) 8/11
  35. 35.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) −18/48 (d) 3/8
  36. 36.Is −9/5 positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −6/7 or −1/3? (a) −1/3 (b) −6/7
  38. 38.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −16/18 (b) −8/9 (c) −9/8 (d) 8/9
  39. 39.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −6/21 (c) −2/7 (d) 2/7
  40. 40.What is (−1/2) + 1/8? (a) −3/8 (b) 0 (c) −5/8 (d) 3/8

Answer key

  1. −1/3
  2. −1/9
  3. Negative
  4. −7/9
  5. Negative
  6. −22/21
  7. −1/9
  8. Positive
  9. Negative
  10. 6/7
  11. −7/6
  12. 1/9
  13. Positive
  14. 7/9
  15. 2/5
  16. −1/4
  17. −3/4
  18. −7/9
  19. −53/42
  20. −4/7
  21. Positive
  22. Positive
  23. −2/5
  24. −1/3
  25. Negative
  26. Negative
  27. 7/8
  28. Positive
  29. 5/4
  30. 11/72
  31. −8/35
  32. 7/4
  33. 5/9
  34. 43/30
  35. −3/8
  36. Negative
  37. −6/7
  38. −8/9
  39. −2/7
  40. −3/8

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