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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 748 · 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 smaller: −1/5 or −1/7? (a) −1/5 (b) −1/7
  2. 2.Is 3/8 positive or negative? (a) Negative (b) Positive
  3. 3.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −30/42
  4. 4.What is the additive inverse of −1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  5. 5.What is (−3/8) + (−5/7)? (a) 61/56 (b) 19/56 (c) −8/15 (d) −61/56
  6. 6.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −12/30 (d) −5/2
  7. 7.Which is smaller: −1/6 or −5/7? (a) −5/7 (b) −1/6
  8. 8.Which is bigger: −1/6 or −2/5? (a) −1/6 (b) −2/5
  9. 9.What is 6/7 − (−2/3)? (a) 32/21 (b) 4/21 (c) −32/21 (d) 4/5
  10. 10.What is (−2/5) + (−2/9)? (a) 28/45 (b) −28/45 (c) −8/45 (d) −2/7
  11. 11.Which is bigger: −1/7 or −1/9? (a) −1/9 (b) −1/7
  12. 12.What is 4/7 − (−1/4)? (a) 23/28 (b) −23/28 (c) 9/28 (d) 5/11
  13. 13.What is (−3/5) − 3/7? (a) −36/35 (b) 36/35 (c) −6/35 (d) −1/2
  14. 14.What is the additive inverse of 3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  15. 15.Write −40/45 in standard form (lowest terms, positive denominator). (a) −40/45 (b) −8/9 (c) 8/9 (d) −9/8
  16. 16.Which is smaller: −1/8 or −6/7? (a) −1/8 (b) −6/7
  17. 17.Which is bigger: −1/4 or −8/9? (a) −1/4 (b) −8/9
  18. 18.What is (−1/5) + (−2/9)? (a) −3/14 (b) 1/45 (c) −19/45 (d) 19/45
  19. 19.Which is smaller: −3/4 or −8/9? (a) −3/4 (b) −8/9
  20. 20.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −6/12 (b) −2/1 (c) 1/2 (d) −1/2
  21. 21.What is the additive inverse of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  22. 22.Is −8/7 positive or negative? (a) Positive (b) Negative
  23. 23.Which is bigger: −2/7 or −1/4? (a) −2/7 (b) −1/4
  24. 24.What is (−3/8) + (−8/9)? (a) 37/72 (b) 91/72 (c) −91/72 (d) −11/17
  25. 25.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  26. 26.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) −3/1 (c) −1/3 (d) 1/3
  27. 27.Write −3/21 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −3/21 (c) −1/7 (d) 1/7
  28. 28.Which is smaller: −4/7 or −5/6? (a) −5/6 (b) −4/7
  29. 29.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) 5/4 (c) −4/5 (d) −5/4
  30. 30.Which is bigger: −1/5 or 2/7? (a) 2/7 (b) −1/5
  31. 31.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7
  32. 32.What is the additive inverse of 2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  33. 33.What is (−1/8) − (−7/8)? (a) −3/4 (b) −1 (c) 3/8 (d) 3/4
  34. 34.What is 4/5 + (−4/7)? (a) 8/35 (b) −8/35 (c) 48/35 (d) 0
  35. 35.Which is bigger: −5/9 or −1/3? (a) −1/3 (b) −5/9
  36. 36.Which is bigger: −1/8 or 1/4? (a) 1/4 (b) −1/8
  37. 37.Which is bigger: −7/9 or 1/9? (a) −7/9 (b) 1/9
  38. 38.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −2/4 (c) −1/2 (d) 1/2
  39. 39.What is (−3/7) − (−3/4)? (a) −33/28 (b) −9/28 (c) 9/28 (d) 0
  40. 40.What is the additive inverse of −2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5

Answer key

  1. −1/5
  2. Positive
  3. −5/7
  4. 1/3
  5. −61/56
  6. −2/5
  7. −5/7
  8. −1/6
  9. 32/21
  10. −28/45
  11. −1/9
  12. 23/28
  13. −36/35
  14. −3/7
  15. −8/9
  16. −6/7
  17. −1/4
  18. −19/45
  19. −8/9
  20. −1/2
  21. −1/3
  22. Negative
  23. −1/4
  24. −91/72
  25. −7/9
  26. −1/3
  27. −1/7
  28. −5/6
  29. 5/4
  30. 2/7
  31. 7/4
  32. −2/3
  33. 3/4
  34. 8/35
  35. −1/3
  36. 1/4
  37. 1/9
  38. −1/2
  39. 9/28
  40. 2/5

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