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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 823 · 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 5/(−6) positive or negative? (a) Positive (b) Negative
  2. 2.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) 2 (c) −1/2 (d) −2
  3. 3.Which is smaller: −3/4 or 1/3? (a) −3/4 (b) 1/3
  4. 4.Is −1/3 positive or negative? (a) Negative (b) Positive
  5. 5.Write −8/12 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −8/12
  6. 6.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  7. 7.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) −7/5 (c) 5/7 (d) −5/7
  8. 8.Is −4/3 positive or negative? (a) Positive (b) Negative
  9. 9.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) 5/8 (c) −8/5 (d) −5/8
  10. 10.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −8/20 (c) −5/2 (d) 2/5
  11. 11.What is the additive inverse of 2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  12. 12.Is −5/3 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−4/7) + (−7/8)? (a) −11/15 (b) −81/56 (c) 17/56 (d) 81/56
  14. 14.What is 5/7 + (−2/9)? (a) 59/63 (b) −31/63 (c) 31/63 (d) 3/16
  15. 15.What is 3/8 − (−7/8)? (a) −1/2 (b) 5/8 (c) 5/4 (d) −5/4
  16. 16.Which is smaller: −2/5 or 1/3? (a) −2/5 (b) 1/3
  17. 17.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  18. 18.What is the reciprocal (multiplicative inverse) of −4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  19. 19.What is (−1/8) − (−1/3)? (a) −11/24 (b) 0 (c) −5/24 (d) 5/24
  20. 20.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −10/15 (d) 2/3
  21. 21.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −6/1 (d) −2/12
  22. 22.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −9/4 (d) −24/54
  23. 23.What is the additive inverse of 8/9? (a) 9/8 (b) 8/9 (c) −9/8 (d) −8/9
  24. 24.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −6/10 (c) 3/5 (d) −3/5
  25. 25.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  26. 26.What is the additive inverse of −1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  27. 27.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  28. 28.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  29. 29.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −5/20 (b) −1/4 (c) −4/1 (d) 1/4
  30. 30.What is 3/5 + (−1/3)? (a) −4/15 (b) 1/4 (c) 4/15 (d) 14/15
  31. 31.Write −15/20 in standard form (lowest terms, positive denominator). (a) −15/20 (b) −4/3 (c) −3/4 (d) 3/4
  32. 32.What is the additive inverse of 4/9? (a) −9/4 (b) −4/9 (c) 4/9 (d) 9/4
  33. 33.Which is smaller: −1/6 or −1/8? (a) −1/8 (b) −1/6
  34. 34.What is (−1/6) − (−4/7)? (a) 17/42 (b) −17/42 (c) −31/42 (d) 3/13
  35. 35.What is (−5/8) + 3/8? (a) −1/4 (b) −1 (c) 1/4 (d) −1/8
  36. 36.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −18/21 (c) −6/7 (d) 6/7
  37. 37.What is (−1/4) − 2/9? (a) −1/36 (b) −17/36 (c) 17/36 (d) −3/13
  38. 38.What is (−2/3) − 1/3? (a) −1/2 (b) −1/3 (c) −1 (d) 1
  39. 39.What is the additive inverse of −5/8? (a) 5/8 (b) −5/8 (c) 8/5 (d) −8/5
  40. 40.Write −2/12 in standard form (lowest terms, positive denominator). (a) −2/12 (b) −1/6 (c) −6/1 (d) 1/6

Answer key

  1. Negative
  2. −2
  3. −3/4
  4. Negative
  5. −2/3
  6. −5/9
  7. −5/7
  8. Negative
  9. −5/8
  10. −2/5
  11. −2/7
  12. Negative
  13. −81/56
  14. 31/63
  15. 5/4
  16. −2/5
  17. Positive
  18. −9/4
  19. 5/24
  20. −2/3
  21. −1/6
  22. −4/9
  23. −8/9
  24. −3/5
  25. 8/5
  26. 1/2
  27. 8
  28. 7/8
  29. −1/4
  30. 4/15
  31. −3/4
  32. −4/9
  33. −1/6
  34. 17/42
  35. −1/4
  36. −6/7
  37. −17/36
  38. −1
  39. 5/8
  40. −1/6

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