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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 137 · 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 the additive inverse of −3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  2. 2.Is −1/3 positive or negative? (a) Positive (b) Negative
  3. 3.What is the additive inverse of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  4. 4.What is (−3/4) + 4/5? (a) −1/20 (b) −31/20 (c) 1/9 (d) 1/20
  5. 5.Which is bigger: −1/4 or −1/7? (a) −1/4 (b) −1/7
  6. 6.Which is smaller: −4/9 or 1/2? (a) 1/2 (b) −4/9
  7. 7.What is 2/5 − (−1/3)? (a) −11/15 (b) 11/15 (c) 3/8 (d) 1/15
  8. 8.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) 3/8 (c) −8/3 (d) −3/8
  9. 9.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −6/16 (c) −3/8 (d) 3/8
  10. 10.What is 3/8 − (−1/4)? (a) 1/3 (b) −5/8 (c) 1/8 (d) 5/8
  11. 11.What is (−6/7) − 5/8? (a) −11/15 (b) −13/56 (c) −83/56 (d) 83/56
  12. 12.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −15/27 (c) −9/5 (d) −5/9
  13. 13.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  14. 14.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −12/28 (d) −3/7
  15. 15.What is 1/8 − (−5/8)? (a) 3/8 (b) −3/4 (c) −1/2 (d) 3/4
  16. 16.What is the additive inverse of 8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  17. 17.Which is smaller: −1/2 or −2/3? (a) −2/3 (b) −1/2
  18. 18.What is the additive inverse of 1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  19. 19.What is (−3/5) − 4/9? (a) −7/45 (b) −47/45 (c) −1/2 (d) 47/45
  20. 20.Which is bigger: −2/3 or −1/8? (a) −2/3 (b) −1/8
  21. 21.What is 2/9 + (−1/8)? (a) 7/72 (b) 1/17 (c) 25/72 (d) −7/72
  22. 22.What is (−1/3) + 1/5? (a) −8/15 (b) −2/15 (c) 0 (d) 2/15
  23. 23.What is (−2/5) − (−3/8)? (a) 1/40 (b) −31/40 (c) 1/13 (d) −1/40
  24. 24.What is (−8/9) + (−1/6)? (a) −13/18 (b) −19/18 (c) 19/18 (d) −3/5
  25. 25.What is 7/9 + (−4/7)? (a) −13/63 (b) 13/63 (c) 85/63 (d) 3/16
  26. 26.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −6/9 (d) 2/3
  27. 27.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  28. 28.Which is smaller: −1/7 or −2/3? (a) −1/7 (b) −2/3
  29. 29.What is 1/5 − (−1/6)? (a) 11/30 (b) 1/30 (c) 2/11 (d) −11/30
  30. 30.What is 2/5 − (−3/5)? (a) 1/2 (b) −1/5 (c) 1 (d) −1
  31. 31.What is the additive inverse of 3/5? (a) 5/3 (b) −5/3 (c) −3/5 (d) 3/5
  32. 32.What is the additive inverse of 1/5? (a) −1/5 (b) 5 (c) −5 (d) 1/5
  33. 33.Which is smaller: −2/9 or −2/5? (a) −2/9 (b) −2/5
  34. 34.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −1/7 or 1/6? (a) −1/7 (b) 1/6
  36. 36.What is (−7/8) − (−1/3)? (a) 13/24 (b) −13/24 (c) −6/11 (d) −29/24
  37. 37.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  38. 38.Which is bigger: −3/7 or −4/7? (a) −3/7 (b) −4/7
  39. 39.Write −8/14 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −8/14 (c) −7/4 (d) −4/7
  40. 40.Which is smaller: −4/9 or −8/9? (a) −4/9 (b) −8/9

Answer key

  1. 3/4
  2. Negative
  3. 7/8
  4. 1/20
  5. −1/7
  6. −4/9
  7. 11/15
  8. −3/8
  9. −3/8
  10. 5/8
  11. −83/56
  12. −5/9
  13. Positive
  14. −3/7
  15. 3/4
  16. −8/9
  17. −2/3
  18. −1/7
  19. −47/45
  20. −1/8
  21. 7/72
  22. −2/15
  23. −1/40
  24. −19/18
  25. 13/63
  26. −2/3
  27. −6/7
  28. −2/3
  29. 11/30
  30. 1
  31. −3/5
  32. −1/5
  33. −2/5
  34. Negative
  35. −1/7
  36. −13/24
  37. Positive
  38. −3/7
  39. −4/7
  40. −8/9

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