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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 649 · 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 1/5 + (−4/5)? (a) 3/5 (b) 1 (c) −3/10 (d) −3/5
  2. 2.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −10/16 (d) −8/5
  3. 3.Is 5/6 positive or negative? (a) Negative (b) Positive
  4. 4.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −30/54 (c) −5/9 (d) −9/5
  5. 5.What is (−1/4) + (−1/8)? (a) −1/6 (b) −1/8 (c) −3/8 (d) 3/8
  6. 6.What is 1/4 + (−1/4)? (a) 0 (b) 1/2
  7. 7.Which is smaller: −7/8 or −4/7? (a) −4/7 (b) −7/8
  8. 8.Write −24/28 in standard form (lowest terms, positive denominator). (a) −24/28 (b) −7/6 (c) −6/7 (d) 6/7
  9. 9.What is (−1/8) + 2/9? (a) 1/17 (b) −7/72 (c) 7/72 (d) −25/72
  10. 10.What is the reciprocal (multiplicative inverse) of 7/9? (a) −9/7 (b) 9/7 (c) 7/9 (d) −7/9
  11. 11.Which is bigger: −1/7 or −4/5? (a) −4/5 (b) −1/7
  12. 12.Is 5/(−5) positive or negative? (a) Positive (b) Negative
  13. 13.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −2/5 (c) 5/2 (d) −5/2
  14. 14.Which is smaller: −1/9 or −1/7? (a) −1/7 (b) −1/9
  15. 15.What is the additive inverse of −4/9? (a) −4/9 (b) 4/9 (c) −9/4 (d) 9/4
  16. 16.Which is bigger: −5/8 or −6/7? (a) −6/7 (b) −5/8
  17. 17.What is (−2/5) − (−1/2)? (a) −1/10 (b) 1/10 (c) −9/10 (d) −1/7
  18. 18.Which is smaller: −1/2 or 4/5? (a) −1/2 (b) 4/5
  19. 19.Which is smaller: −3/8 or −1/6? (a) −3/8 (b) −1/6
  20. 20.Which is smaller: −5/6 or 6/7? (a) 6/7 (b) −5/6
  21. 21.Is −4/6 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −3/5 or 5/6? (a) −3/5 (b) 5/6
  23. 23.What is the additive inverse of 2/9? (a) −2/9 (b) 9/2 (c) 2/9 (d) −9/2
  24. 24.What is the additive inverse of −3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  25. 25.What is the additive inverse of 1/6? (a) 6 (b) −6 (c) −1/6 (d) 1/6
  26. 26.What is 6/7 − (−2/3)? (a) 4/5 (b) 32/21 (c) −32/21 (d) 4/21
  27. 27.Is 8/8 positive or negative? (a) Positive (b) Negative
  28. 28.Write −10/25 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −10/25 (c) −2/5 (d) 2/5
  29. 29.What is (−1/5) − (−5/6)? (a) −31/30 (b) 19/30 (c) 4/11 (d) −19/30
  30. 30.What is (−7/8) + 1/6? (a) −25/24 (b) 17/24 (c) −3/7 (d) −17/24
  31. 31.Which is bigger: −5/8 or 1/2? (a) −5/8 (b) 1/2
  32. 32.Which is smaller: −3/7 or 8/9? (a) −3/7 (b) 8/9
  33. 33.What is 2/3 + (−5/9)? (a) −1/4 (b) −1/9 (c) 1/9 (d) 11/9
  34. 34.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/6) + 1/5? (a) 1/30 (b) −1/30 (c) 0 (d) −11/30
  36. 36.What is (−1/8) + 1/7? (a) −15/56 (b) −1/56 (c) 0 (d) 1/56
  37. 37.What is (−3/5) − 3/5? (a) −3/5 (b) 0 (c) 6/5 (d) −6/5
  38. 38.Which is smaller: −1/2 or −3/4? (a) −1/2 (b) −3/4
  39. 39.Which is smaller: −6/7 or 2/9? (a) −6/7 (b) 2/9
  40. 40.Is 8/(−8) positive or negative? (a) Positive (b) Negative

Answer key

  1. −3/5
  2. −5/8
  3. Positive
  4. −5/9
  5. −3/8
  6. 0
  7. −7/8
  8. −6/7
  9. 7/72
  10. 9/7
  11. −1/7
  12. Negative
  13. −5/2
  14. −1/7
  15. 4/9
  16. −5/8
  17. 1/10
  18. −1/2
  19. −3/8
  20. −5/6
  21. Negative
  22. −3/5
  23. −2/9
  24. 3/4
  25. −1/6
  26. 32/21
  27. Positive
  28. −2/5
  29. 19/30
  30. −17/24
  31. 1/2
  32. −3/7
  33. 1/9
  34. Positive
  35. 1/30
  36. 1/56
  37. −6/5
  38. −3/4
  39. −6/7
  40. Negative

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