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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 392 · 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: −1/3 or 8/9? (a) −1/3 (b) 8/9
  2. 2.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −3/7 or −7/9? (a) −7/9 (b) −3/7
  4. 4.Which is bigger: −1/6 or −3/8? (a) −3/8 (b) −1/6
  5. 5.What is (−2/5) + (−1/6)? (a) 17/30 (b) −17/30 (c) −3/11 (d) −7/30
  6. 6.Write −6/48 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −6/48 (c) 1/8 (d) −8/1
  7. 7.Is 6/7 positive or negative? (a) Negative (b) Positive
  8. 8.What is 5/6 − (−4/7)? (a) 11/42 (b) 9/13 (c) −59/42 (d) 59/42
  9. 9.What is the additive inverse of 3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  10. 10.Which is smaller: −2/5 or −2/7? (a) −2/5 (b) −2/7
  11. 11.What is the additive inverse of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  12. 12.What is 2/3 − (−7/9)? (a) 13/9 (b) −1/9 (c) −13/9 (d) 3/4
  13. 13.What is 5/6 + (−1/3)? (a) 7/6 (b) 1/2 (c) 4/9 (d) −1/2
  14. 14.Which is bigger: −1/5 or −6/7? (a) −6/7 (b) −1/5
  15. 15.What is 7/9 + (−1/4)? (a) −19/36 (b) 6/13 (c) 19/36 (d) 37/36
  16. 16.What is (−1/8) − (−1/7)? (a) −1/56 (b) 1/56 (c) 0 (d) −15/56
  17. 17.Which is bigger: −2/5 or −1/2? (a) −1/2 (b) −2/5
  18. 18.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4
  19. 19.What is the additive inverse of 1/4? (a) −1/4 (b) 1/4 (c) 4 (d) −4
  20. 20.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  21. 21.Write −42/48 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −42/48 (d) −7/8
  22. 22.What is (−3/8) − (−1/5)? (a) −2/13 (b) 7/40 (c) −7/40 (d) −23/40
  23. 23.What is 5/8 + (−1/7)? (a) −27/56 (b) 27/56 (c) 43/56 (d) 4/15
  24. 24.What is (−1/3) − 3/5? (a) −14/15 (b) 14/15 (c) −1/2 (d) 4/15
  25. 25.What is 4/5 + (−5/8)? (a) 57/40 (b) 7/40 (c) −7/40 (d) −1/13
  26. 26.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  27. 27.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −10/14 (b) −5/7 (c) 5/7 (d) −7/5
  28. 28.What is 5/6 + (−6/7)? (a) 71/42 (b) −1/42 (c) 1/42 (d) −1/13
  29. 29.Which is bigger: −1/6 or 3/4? (a) −1/6 (b) 3/4
  30. 30.What is (−3/8) + (−7/8)? (a) 1/2 (b) −5/8 (c) 5/4 (d) −5/4
  31. 31.Which is smaller: −1/5 or 4/7? (a) −1/5 (b) 4/7
  32. 32.What is 6/7 − (−4/7)? (a) −10/7 (b) 5/7 (c) 10/7 (d) 2/7
  33. 33.What is (−5/9) + 1/3? (a) −8/9 (b) −2/9 (c) 2/9 (d) −1/3
  34. 34.What is (−4/5) + (−5/8)? (a) −7/40 (b) −57/40 (c) 57/40 (d) −9/13
  35. 35.Which is bigger: −3/8 or −2/3? (a) −2/3 (b) −3/8
  36. 36.What is (−3/4) + (−1/8)? (a) 7/8 (b) −1/3 (c) −5/8 (d) −7/8
  37. 37.Which is smaller: −1/7 or 2/3? (a) −1/7 (b) 2/3
  38. 38.Which is bigger: −1/6 or −3/5? (a) −3/5 (b) −1/6
  39. 39.What is (−4/9) − (−3/8)? (a) −1/17 (b) 5/72 (c) −59/72 (d) −5/72
  40. 40.What is 1/6 − (−5/9)? (a) 2/5 (b) 13/18 (c) −7/18 (d) −13/18

Answer key

  1. 8/9
  2. Negative
  3. −7/9
  4. −1/6
  5. −17/30
  6. −1/8
  7. Positive
  8. 59/42
  9. −3/4
  10. −2/5
  11. 2/7
  12. 13/9
  13. 1/2
  14. −1/5
  15. 19/36
  16. 1/56
  17. −2/5
  18. −5/4
  19. −1/4
  20. 6/7
  21. −7/8
  22. −7/40
  23. 27/56
  24. −14/15
  25. 7/40
  26. −2
  27. −5/7
  28. −1/42
  29. 3/4
  30. −5/4
  31. −1/5
  32. 10/7
  33. −2/9
  34. −57/40
  35. −3/8
  36. −7/8
  37. −1/7
  38. −1/6
  39. −5/72
  40. 13/18

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