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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 487 · 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 20/(−45) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −20/45 (c) 4/9 (d) −4/9
  2. 2.What is (−1/5) + (−3/8)? (a) −23/40 (b) −4/13 (c) 7/40 (d) 23/40
  3. 3.What is 5/8 − (−1/3)? (a) 6/11 (b) 23/24 (c) 7/24 (d) −23/24
  4. 4.What is the additive inverse of 8/9? (a) −8/9 (b) 8/9 (c) −9/8 (d) 9/8
  5. 5.What is (−1/2) + (−3/4)? (a) −5/4 (b) −2/3 (c) 5/4 (d) 1/4
  6. 6.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −9/21
  7. 7.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) −3/5 (c) −5/3 (d) 3/5
  8. 8.What is the additive inverse of −8/9? (a) −9/8 (b) −8/9 (c) 9/8 (d) 8/9
  9. 9.Is −1/9 positive or negative? (a) Positive (b) Negative
  10. 10.What is 1/3 + (−4/9)? (a) −1/4 (b) 1/9 (c) −1/9 (d) 7/9
  11. 11.What is 4/7 + (−1/8)? (a) −25/56 (b) 25/56 (c) 1/5 (d) 39/56
  12. 12.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  13. 13.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  14. 14.What is 2/3 − (−3/8)? (a) 25/24 (b) 5/11 (c) 7/24 (d) −25/24
  15. 15.Is 4/4 positive or negative? (a) Negative (b) Positive
  16. 16.Which is bigger: −8/9 or −3/4? (a) −3/4 (b) −8/9
  17. 17.Which is bigger: −1/4 or −3/5? (a) −1/4 (b) −3/5
  18. 18.Is 7/(−5) positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −4/5 or −1/7? (a) −4/5 (b) −1/7
  20. 20.Write −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) −5/9 (d) 5/9
  21. 21.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −3/21 (d) −1/7
  22. 22.What is (−4/5) + 8/9? (a) −4/45 (b) 2/7 (c) −76/45 (d) 4/45
  23. 23.Which is smaller: −1/2 or −1/6? (a) −1/6 (b) −1/2
  24. 24.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/5) + (−1/8)? (a) 13/40 (b) −13/40 (c) −2/13 (d) −3/40
  26. 26.What is 5/7 − (−5/7)? (a) −10/7 (b) 5/7 (c) 0 (d) 10/7
  27. 27.What is (−1/6) − (−3/8)? (a) −5/24 (b) −13/24 (c) 1/7 (d) 5/24
  28. 28.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) −3/7 (c) 7/3 (d) 3/7
  29. 29.What is 5/9 + (−1/9)? (a) −4/9 (b) 2/3 (c) 2/9 (d) 4/9
  30. 30.What is the additive inverse of 5/9? (a) −5/9 (b) 5/9 (c) −9/5 (d) 9/5
  31. 31.What is the additive inverse of 1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  32. 32.What is 5/7 + (−4/5)? (a) 3/35 (b) −3/35 (c) 1/12 (d) 53/35
  33. 33.Is 8/2 positive or negative? (a) Negative (b) Positive
  34. 34.What is 2/3 + (−5/9)? (a) 11/9 (b) 1/9 (c) −1/9 (d) −1/4
  35. 35.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.Is −5/(−6) positive or negative? (a) Positive (b) Negative
  37. 37.Is 4/(−6) positive or negative? (a) Positive (b) Negative
  38. 38.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  39. 39.Write −3/21 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −3/21 (d) −1/7
  40. 40.What is (−5/7) + 1/2? (a) 3/14 (b) −4/9 (c) −3/14 (d) −17/14

Answer key

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

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