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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 514 · 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.What is (−7/9) + 2/3? (a) −5/12 (b) −1/9 (c) 1/9 (d) −13/9
  2. 2.Which is smaller: −3/7 or −1/7? (a) −3/7 (b) −1/7
  3. 3.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  4. 4.Is 8/(−3) positive or negative? (a) Negative (b) Positive
  5. 5.What is (−4/5) − (−1/7)? (a) −23/35 (b) −1/4 (c) −33/35 (d) 23/35
  6. 6.What is the additive inverse of 2/7? (a) 7/2 (b) 2/7 (c) −2/7 (d) −7/2
  7. 7.Which is bigger: −2/5 or 5/8? (a) −2/5 (b) 5/8
  8. 8.Which is smaller: −5/6 or −1/6? (a) −5/6 (b) −1/6
  9. 9.What is (−2/5) + 1/6? (a) −17/30 (b) −7/30 (c) −1/11 (d) 7/30
  10. 10.What is the additive inverse of −6/7? (a) −6/7 (b) 7/6 (c) 6/7 (d) −7/6
  11. 11.What is (−3/7) + (−5/9)? (a) 62/63 (b) 8/63 (c) −1/2 (d) −62/63
  12. 12.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  13. 13.What is the additive inverse of −1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  14. 14.What is (−1/9) + 1/6? (a) −5/18 (b) −1/18 (c) 0 (d) 1/18
  15. 15.Write −15/24 in standard form (lowest terms, positive denominator). (a) −15/24 (b) −8/5 (c) −5/8 (d) 5/8
  16. 16.Which is bigger: −2/5 or −5/8? (a) −2/5 (b) −5/8
  17. 17.Which is bigger: −2/3 or −1/6? (a) −2/3 (b) −1/6
  18. 18.What is (−2/7) − (−5/9)? (a) −17/63 (b) 17/63 (c) −53/63 (d) 3/16
  19. 19.Which is smaller: −3/4 or 1/7? (a) −3/4 (b) 1/7
  20. 20.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −15/25 (b) −5/3 (c) −3/5 (d) 3/5
  21. 21.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−3/8) − (−5/7)? (a) 19/56 (b) −19/56 (c) 2/15 (d) −61/56
  23. 23.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −4/10 (b) −5/2 (c) −2/5 (d) 2/5
  24. 24.What is (−1/3) − (−1/5)? (a) −8/15 (b) −2/15 (c) 0 (d) 2/15
  25. 25.Which is smaller: −5/6 or −5/9? (a) −5/9 (b) −5/6
  26. 26.What is (−1/6) − 4/7? (a) 17/42 (b) 31/42 (c) −31/42 (d) −5/13
  27. 27.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −3/5 or 3/8? (a) 3/8 (b) −3/5
  29. 29.What is 2/3 − (−2/5)? (a) 1/2 (b) 4/15 (c) −16/15 (d) 16/15
  30. 30.What is (−1/8) − 1/2? (a) 3/8 (b) −1/5 (c) 5/8 (d) −5/8
  31. 31.What is the additive inverse of −5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  32. 32.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −3/9
  33. 33.Write −4/16 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/16 (c) −4/1 (d) −1/4
  34. 34.Which is smaller: −4/9 or −3/4? (a) −3/4 (b) −4/9
  35. 35.What is the additive inverse of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  36. 36.Write −30/42 in standard form (lowest terms, positive denominator). (a) −30/42 (b) −5/7 (c) −7/5 (d) 5/7
  37. 37.Which is bigger: −5/6 or −5/8? (a) −5/8 (b) −5/6
  38. 38.Which is smaller: −1/3 or 2/5? (a) −1/3 (b) 2/5
  39. 39.Which is smaller: −5/8 or 8/9? (a) −5/8 (b) 8/9
  40. 40.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −3/5 (d) −5/3

Answer key

  1. −1/9
  2. −3/7
  3. −8/5
  4. Negative
  5. −23/35
  6. −2/7
  7. 5/8
  8. −5/6
  9. −7/30
  10. 6/7
  11. −62/63
  12. −3/2
  13. 1/4
  14. 1/18
  15. −5/8
  16. −2/5
  17. −1/6
  18. 17/63
  19. −3/4
  20. −3/5
  21. Negative
  22. 19/56
  23. −2/5
  24. −2/15
  25. −5/6
  26. −31/42
  27. Positive
  28. −3/5
  29. 16/15
  30. −5/8
  31. 5/9
  32. −1/3
  33. −1/4
  34. −3/4
  35. 1/5
  36. −5/7
  37. −5/8
  38. −1/3
  39. −5/8
  40. −3/5

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