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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 192 · 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 6/(−4) positive or negative? (a) Positive (b) Negative
  2. 2.What is (−5/9) − 2/5? (a) −7/45 (b) 43/45 (c) −1/2 (d) −43/45
  3. 3.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −10/15
  4. 4.What is the additive inverse of −7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  5. 5.What is (−1/9) + (−5/8)? (a) −6/17 (b) −53/72 (c) 53/72 (d) 37/72
  6. 6.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  7. 7.What is (−1/9) − (−1/4)? (a) −5/36 (b) −13/36 (c) 5/36 (d) 0
  8. 8.What is (−1/5) + 2/9? (a) −19/45 (b) −1/45 (c) 1/14 (d) 1/45
  9. 9.Write −12/20 in standard form (lowest terms, positive denominator). (a) −12/20 (b) −5/3 (c) 3/5 (d) −3/5
  10. 10.Which is bigger: −1/4 or 7/9? (a) −1/4 (b) 7/9
  11. 11.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −18/48 (d) −3/8
  12. 12.Which is bigger: −3/5 or −2/5? (a) −2/5 (b) −3/5
  13. 13.Is 5/6 positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of 1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  15. 15.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  17. 17.Is −4/2 positive or negative? (a) Negative (b) Positive
  18. 18.Write −40/45 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −40/45 (d) −9/8
  19. 19.What is 5/8 − (−1/5)? (a) 17/40 (b) −33/40 (c) 6/13 (d) 33/40
  20. 20.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) 3/7 (c) 7/3 (d) −7/3
  21. 21.Which is bigger: −4/7 or −1/8? (a) −1/8 (b) −4/7
  22. 22.What is the additive inverse of −1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  23. 23.What is (−4/5) − 2/7? (a) −38/35 (b) 38/35 (c) −1/2 (d) −18/35
  24. 24.Is 1/6 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −3/4 or −1/8? (a) −1/8 (b) −3/4
  26. 26.What is the additive inverse of 4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  27. 27.What is (−7/9) − (−2/7)? (a) −67/63 (b) −5/16 (c) −31/63 (d) 31/63
  28. 28.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −1/2 or 6/7? (a) 6/7 (b) −1/2
  30. 30.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −2/9 (d) −8/36
  31. 31.Which is smaller: −2/3 or 7/8? (a) −2/3 (b) 7/8
  32. 32.What is (−1/4) + 3/5? (a) 7/20 (b) −7/20 (c) 2/9 (d) −17/20
  33. 33.What is (−1/3) + (−3/5)? (a) 4/15 (b) −1/2 (c) 14/15 (d) −14/15
  34. 34.What is 1/3 + (−1/8)? (a) 11/24 (b) 0 (c) 5/24 (d) −5/24
  35. 35.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.What is 1/8 + (−2/3)? (a) 19/24 (b) −1/11 (c) −13/24 (d) 13/24
  37. 37.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  38. 38.Which is bigger: −2/7 or 1/7? (a) −2/7 (b) 1/7
  39. 39.What is 5/6 − (−5/9)? (a) −25/18 (b) 5/18 (c) 2/3 (d) 25/18
  40. 40.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3

Answer key

  1. Negative
  2. −43/45
  3. −2/3
  4. 7/8
  5. −53/72
  6. 7/2
  7. 5/36
  8. 1/45
  9. −3/5
  10. 7/9
  11. −3/8
  12. −2/5
  13. Positive
  14. 7
  15. Negative
  16. 5/7
  17. Negative
  18. −8/9
  19. 33/40
  20. −7/3
  21. −1/8
  22. 1/2
  23. −38/35
  24. Positive
  25. −1/8
  26. −4/9
  27. −31/63
  28. Negative
  29. 6/7
  30. −2/9
  31. −2/3
  32. 7/20
  33. −14/15
  34. 5/24
  35. Negative
  36. −13/24
  37. −5
  38. 1/7
  39. 25/18
  40. 5/3

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