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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 566 · 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: −6/7 or −4/5? (a) −6/7 (b) −4/5
  2. 2.What is (−1/2) + 3/5? (a) −1/10 (b) 2/7 (c) −11/10 (d) 1/10
  3. 3.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  4. 4.What is 1/7 − (−3/7)? (a) 4/7 (b) −4/7 (c) −2/7 (d) 2/7
  5. 5.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −10/45 (b) 2/9 (c) −9/2 (d) −2/9
  6. 6.What is the additive inverse of 3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  7. 7.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  8. 8.Which is smaller: −3/7 or −4/5? (a) −4/5 (b) −3/7
  9. 9.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −2/8 (d) −1/4
  10. 10.What is (−1/3) + (−8/9)? (a) 5/9 (b) −11/9 (c) −3/4 (d) 11/9
  11. 11.Which is bigger: −1/8 or −7/8? (a) −7/8 (b) −1/8
  12. 12.Which is bigger: −8/9 or −5/8? (a) −8/9 (b) −5/8
  13. 13.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −4/36 (d) −1/9
  14. 14.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −2/18 (d) −9/1
  15. 15.Which is smaller: −1/7 or 4/7? (a) −1/7 (b) 4/7
  16. 16.What is (−8/9) − 5/9? (a) −1/3 (b) 13/9 (c) −13/9 (d) −13/18
  17. 17.What is (−1/3) + 5/9? (a) 1/3 (b) −8/9 (c) 2/9 (d) −2/9
  18. 18.What is (−1/3) − 2/9? (a) −1/9 (b) −1/4 (c) −5/9 (d) 5/9
  19. 19.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −7/5 (d) −5/7
  20. 20.Is 3/4 positive or negative? (a) Positive (b) Negative
  21. 21.What is the additive inverse of 5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  22. 22.Which is bigger: −3/5 or −4/7? (a) −3/5 (b) −4/7
  23. 23.Which is bigger: −2/5 or 4/9? (a) −2/5 (b) 4/9
  24. 24.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −1/2 (d) −2/1
  25. 25.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  26. 26.Which is bigger: −2/5 or −5/9? (a) −2/5 (b) −5/9
  27. 27.What is the additive inverse of −4/9? (a) −9/4 (b) 9/4 (c) −4/9 (d) 4/9
  28. 28.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −6/54 (d) −1/9
  29. 29.Which is smaller: −2/9 or 5/9? (a) −2/9 (b) 5/9
  30. 30.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −48/54 (b) 8/9 (c) −8/9 (d) −9/8
  31. 31.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  32. 32.What is 1/9 − (−7/9)? (a) −2/3 (b) −8/9 (c) 4/9 (d) 8/9
  33. 33.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−2/3) − (−7/9)? (a) 5/12 (b) −1/9 (c) −13/9 (d) 1/9
  35. 35.Is −2/2 positive or negative? (a) Positive (b) Negative
  36. 36.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −2/10 (d) −1/5
  37. 37.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −12/27 (b) −4/9 (c) −9/4 (d) 4/9
  38. 38.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −4/12
  39. 39.What is (−2/5) − 3/7? (a) 1/35 (b) 29/35 (c) −29/35 (d) −5/12
  40. 40.What is the additive inverse of 2/9? (a) 2/9 (b) 9/2 (c) −9/2 (d) −2/9

Answer key

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

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