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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 551 · 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.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  2. 2.Which is smaller: −4/5 or 3/4? (a) 3/4 (b) −4/5
  3. 3.What is the additive inverse of −5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  4. 4.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  5. 5.What is (−4/7) + 1/4? (a) 9/28 (b) −9/28 (c) −23/28 (d) −3/11
  6. 6.What is (−1/4) + 4/5? (a) −21/20 (b) −11/20 (c) 11/20 (d) 1/3
  7. 7.What is 1/4 − (−1/4)? (a) 1/4 (b) −1/2 (c) 0 (d) 1/2
  8. 8.What is 5/8 + (−7/8)? (a) 1/4 (b) −1/8 (c) 3/2 (d) −1/4
  9. 9.What is (−1/6) − (−4/9)? (a) 1/5 (b) −11/18 (c) 5/18 (d) −5/18
  10. 10.What is (−3/8) − 1/7? (a) 29/56 (b) −29/56 (c) −4/15 (d) −13/56
  11. 11.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  12. 12.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −1/4 or −2/7? (a) −1/4 (b) −2/7
  14. 14.Is 9/5 positive or negative? (a) Negative (b) Positive
  15. 15.Is 7/3 positive or negative? (a) Negative (b) Positive
  16. 16.What is the additive inverse of −1/5? (a) 5 (b) 1/5 (c) −5 (d) −1/5
  17. 17.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −24/28 (c) −6/7 (d) 6/7
  18. 18.What is the additive inverse of −1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  19. 19.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) 1/5 (c) −5 (d) −1/5
  20. 20.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) −24/42 (d) 4/7
  21. 21.What is 3/8 − (−4/9)? (a) −59/72 (b) −5/72 (c) 59/72 (d) 7/17
  22. 22.Which is smaller: −1/2 or −5/7? (a) −1/2 (b) −5/7
  23. 23.What is (−4/9) + (−5/6)? (a) −23/18 (b) 23/18 (c) 7/18 (d) −3/5
  24. 24.What is the additive inverse of 7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8
  25. 25.Is −5/9 positive or negative? (a) Positive (b) Negative
  26. 26.Which is bigger: −2/5 or −3/5? (a) −2/5 (b) −3/5
  27. 27.What is 2/5 − (−1/8)? (a) 21/40 (b) 11/40 (c) 3/13 (d) −21/40
  28. 28.What is (−1/5) + 1/2? (a) −7/10 (b) 0 (c) −3/10 (d) 3/10
  29. 29.What is (−2/7) − 1/8? (a) −1/5 (b) −23/56 (c) −9/56 (d) 23/56
  30. 30.What is (−1/2) − 1/3? (a) −2/5 (b) −5/6 (c) −1/6 (d) 5/6
  31. 31.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −4/16 (d) 1/4
  32. 32.Which is bigger: −3/8 or −1/6? (a) −1/6 (b) −3/8
  33. 33.Write −3/27 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −3/27
  34. 34.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  35. 35.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) −6/5 (c) 5/6 (d) −5/6
  36. 36.What is the additive inverse of 1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  37. 37.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −2/18 (d) −1/9
  38. 38.Which is bigger: −8/9 or −2/5? (a) −2/5 (b) −8/9
  39. 39.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) 1/9 (c) −1/9 (d) 9
  40. 40.Which is smaller: −1/9 or −1/5? (a) −1/5 (b) −1/9

Answer key

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

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