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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 513 · 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 bigger: −1/9 or −1/4? (a) −1/4 (b) −1/9
  2. 2.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  3. 3.What is the additive inverse of −2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  4. 4.What is (−1/3) + 1/9? (a) 0 (b) −4/9 (c) −2/9 (d) 2/9
  5. 5.What is (−4/5) + (−4/5)? (a) 0 (b) −8/5 (c) 8/5 (d) −4/5
  6. 6.Which is bigger: −3/5 or −5/9? (a) −3/5 (b) −5/9
  7. 7.Is 5/6 positive or negative? (a) Negative (b) Positive
  8. 8.Which is smaller: −7/9 or 1/6? (a) −7/9 (b) 1/6
  9. 9.What is (−5/8) − 7/9? (a) 11/72 (b) −12/17 (c) −101/72 (d) 101/72
  10. 10.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −6/54
  11. 11.Write −18/48 in standard form (lowest terms, positive denominator). (a) −18/48 (b) −3/8 (c) 3/8 (d) −8/3
  12. 12.What is (−2/5) + 8/9? (a) −22/45 (b) −58/45 (c) 3/7 (d) 22/45
  13. 13.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −5/30 (b) −1/6 (c) 1/6 (d) −6/1
  14. 14.Which is bigger: −5/9 or 6/7? (a) −5/9 (b) 6/7
  15. 15.Which is bigger: −7/9 or −1/6? (a) −7/9 (b) −1/6
  16. 16.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −2/16 (d) −8/1
  17. 17.What is 3/4 − (−2/3)? (a) 1/12 (b) −17/12 (c) 5/7 (d) 17/12
  18. 18.Is −2/5 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−8/9) + (−1/8)? (a) −9/17 (b) 73/72 (c) −55/72 (d) −73/72
  20. 20.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  21. 21.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  22. 22.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −10/25 (d) 2/5
  23. 23.Is −2/4 positive or negative? (a) Positive (b) Negative
  24. 24.What is 8/9 + (−2/9)? (a) −2/3 (b) 10/9 (c) 2/3 (d) 1/3
  25. 25.What is the additive inverse of 3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  26. 26.What is 1/6 + (−1/3)? (a) −1/6 (b) 1/2 (c) 1/6 (d) 0
  27. 27.What is (−7/8) + 2/5? (a) 19/40 (b) −5/13 (c) −51/40 (d) −19/40
  28. 28.What is (−4/9) − (−2/7)? (a) −10/63 (b) −1/8 (c) 10/63 (d) −46/63
  29. 29.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −6/30 (c) 1/5 (d) −1/5
  30. 30.Which is smaller: −5/6 or 5/8? (a) 5/8 (b) −5/6
  31. 31.What is (−1/4) − 2/9? (a) −17/36 (b) −3/13 (c) 17/36 (d) −1/36
  32. 32.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −5/6 (d) −6/5
  33. 33.What is the additive inverse of 8/9? (a) −8/9 (b) 9/8 (c) 8/9 (d) −9/8
  34. 34.What is (−3/4) + 7/9? (a) −1/36 (b) 4/13 (c) −55/36 (d) 1/36
  35. 35.What is (−3/5) + 2/9? (a) −37/45 (b) 17/45 (c) −1/14 (d) −17/45
  36. 36.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  37. 37.What is 5/6 + (−2/3)? (a) 3/2 (b) −1/6 (c) 1/3 (d) 1/6
  38. 38.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  39. 39.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  40. 40.Is 9/7 positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/9
  2. −7/5
  3. 2/5
  4. −2/9
  5. −8/5
  6. −5/9
  7. Positive
  8. −7/9
  9. −101/72
  10. −1/9
  11. −3/8
  12. 22/45
  13. −1/6
  14. 6/7
  15. −1/6
  16. −1/8
  17. 17/12
  18. Negative
  19. −73/72
  20. 7/8
  21. −3/2
  22. −2/5
  23. Negative
  24. 2/3
  25. −3/5
  26. −1/6
  27. −19/40
  28. −10/63
  29. −1/5
  30. −5/6
  31. −17/36
  32. −5/6
  33. −8/9
  34. 1/36
  35. −17/45
  36. −1/5
  37. 1/6
  38. 3/2
  39. Negative
  40. Positive

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