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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 364 · 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.Write −4/18 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −4/18 (c) −2/9 (d) 2/9
  2. 2.What is (−1/3) − 3/7? (a) −16/21 (b) 16/21 (c) −2/5 (d) 2/21
  3. 3.What is (−3/5) + 4/5? (a) 1/10 (b) −1/5 (c) −7/5 (d) 1/5
  4. 4.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −12/28
  5. 5.Which is smaller: −8/9 or 5/6? (a) 5/6 (b) −8/9
  6. 6.Which is smaller: −1/3 or 1/4? (a) 1/4 (b) −1/3
  7. 7.Is −5/9 positive or negative? (a) Negative (b) Positive
  8. 8.Write −30/36 in standard form (lowest terms, positive denominator). (a) −30/36 (b) −5/6 (c) −6/5 (d) 5/6
  9. 9.Write −10/18 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −10/18 (c) −9/5 (d) 5/9
  10. 10.Which is smaller: −3/8 or −1/3? (a) −1/3 (b) −3/8
  11. 11.Which is smaller: −1/3 or 1/5? (a) 1/5 (b) −1/3
  12. 12.Which is bigger: −8/9 or −5/7? (a) −8/9 (b) −5/7
  13. 13.What is the additive inverse of 4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  14. 14.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −2/8 (c) −4/1 (d) −1/4
  15. 15.Is 5/8 positive or negative? (a) Positive (b) Negative
  16. 16.What is 1/7 + (−1/6)? (a) −1/42 (b) 0 (c) 1/42 (d) 13/42
  17. 17.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −6/21 (d) −2/7
  18. 18.What is (−3/4) + 2/9? (a) −35/36 (b) −1/13 (c) 19/36 (d) −19/36
  19. 19.What is the additive inverse of −7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  20. 20.What is (−8/9) + (−1/5)? (a) −49/45 (b) −9/14 (c) 49/45 (d) −31/45
  21. 21.What is (−4/5) − 3/8? (a) −7/13 (b) −17/40 (c) −47/40 (d) 47/40
  22. 22.What is the additive inverse of 2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2
  23. 23.What is (−3/5) + (−5/8)? (a) −8/13 (b) 1/40 (c) −49/40 (d) 49/40
  24. 24.Which is bigger: −2/9 or −5/6? (a) −2/9 (b) −5/6
  25. 25.Which is bigger: −1/7 or 8/9? (a) −1/7 (b) 8/9
  26. 26.Which is smaller: −1/4 or 3/7? (a) 3/7 (b) −1/4
  27. 27.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −1/7 or 5/8? (a) 5/8 (b) −1/7
  29. 29.Is 4/4 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−1/6) + (−2/7)? (a) 19/42 (b) −3/13 (c) −19/42 (d) 5/42
  31. 31.Is −8/2 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−6/7) − (−2/7)? (a) −8/7 (b) −2/7 (c) −4/7 (d) 4/7
  33. 33.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  34. 34.What is (−7/8) + (−7/8)? (a) 0 (b) 7/4 (c) −7/4 (d) −7/8
  35. 35.What is 2/5 + (−8/9)? (a) −22/45 (b) 22/45 (c) 58/45 (d) −3/7
  36. 36.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −25/45 (d) 5/9
  37. 37.What is (−5/6) − (−1/2)? (a) −4/3 (b) 1/3 (c) −1/2 (d) −1/3
  38. 38.What is (−3/7) + 3/8? (a) −45/56 (b) −3/56 (c) 3/56 (d) 0
  39. 39.What is the reciprocal (multiplicative inverse) of 5/6? (a) 6/5 (b) 5/6 (c) −5/6 (d) −6/5
  40. 40.Which is bigger: −1/5 or −4/5? (a) −1/5 (b) −4/5

Answer key

  1. −2/9
  2. −16/21
  3. 1/5
  4. −3/7
  5. −8/9
  6. −1/3
  7. Negative
  8. −5/6
  9. −5/9
  10. −3/8
  11. −1/3
  12. −5/7
  13. −4/7
  14. −1/4
  15. Positive
  16. −1/42
  17. −2/7
  18. −19/36
  19. 7/9
  20. −49/45
  21. −47/40
  22. −2/7
  23. −49/40
  24. −2/9
  25. 8/9
  26. −1/4
  27. Negative
  28. −1/7
  29. Positive
  30. −19/42
  31. Negative
  32. −4/7
  33. 9/7
  34. −7/4
  35. −22/45
  36. −5/9
  37. −1/3
  38. −3/56
  39. 6/5
  40. −1/5

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