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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 818 · 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 6/(−21) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −6/21
  2. 2.Which is smaller: −4/9 or −3/8? (a) −3/8 (b) −4/9
  3. 3.Is 7/3 positive or negative? (a) Positive (b) Negative
  4. 4.What is 5/8 + (−3/8)? (a) −1/4 (b) 1 (c) 1/4 (d) 1/8
  5. 5.What is 1/3 − (−5/9)? (a) −2/9 (b) −8/9 (c) 8/9 (d) 1/2
  6. 6.What is 1/2 + (−7/8)? (a) 11/8 (b) 3/8 (c) −3/8 (d) −3/5
  7. 7.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) −10/16 (d) 5/8
  8. 8.Which is bigger: −2/5 or −2/3? (a) −2/5 (b) −2/3
  9. 9.Which is bigger: −3/7 or 1/3? (a) −3/7 (b) 1/3
  10. 10.Which is bigger: −4/5 or −5/9? (a) −4/5 (b) −5/9
  11. 11.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) 3/4 (d) −12/16
  12. 12.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −12/54 (c) −2/9 (d) −9/2
  13. 13.Which is bigger: −4/7 or 2/5? (a) −4/7 (b) 2/5
  14. 14.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −20/24
  15. 15.Is −6/4 positive or negative? (a) Positive (b) Negative
  16. 16.Is −5/2 positive or negative? (a) Positive (b) Negative
  17. 17.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  18. 18.Is 2/7 positive or negative? (a) Negative (b) Positive
  19. 19.What is 1/6 + (−3/5)? (a) −2/11 (b) 13/30 (c) −13/30 (d) 23/30
  20. 20.Which is smaller: −2/9 or −2/3? (a) −2/9 (b) −2/3
  21. 21.What is the additive inverse of −1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  22. 22.Which is bigger: −2/3 or 6/7? (a) 6/7 (b) −2/3
  23. 23.What is the additive inverse of −2/7? (a) −2/7 (b) 2/7 (c) 7/2 (d) −7/2
  24. 24.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  25. 25.What is (−1/4) − 2/5? (a) −13/20 (b) 13/20 (c) −1/3 (d) 3/20
  26. 26.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  27. 27.What is (−1/5) + 2/5? (a) −3/5 (b) −1/5 (c) 1/10 (d) 1/5
  28. 28.What is (−5/6) + 2/9? (a) −11/18 (b) −1/5 (c) −19/18 (d) 11/18
  29. 29.What is (−5/9) − (−1/3)? (a) −8/9 (b) −1/3 (c) 2/9 (d) −2/9
  30. 30.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) 1/7 (d) −4/28
  31. 31.Which is smaller: −1/8 or −2/9? (a) −1/8 (b) −2/9
  32. 32.What is the additive inverse of 2/7? (a) −7/2 (b) 2/7 (c) 7/2 (d) −2/7
  33. 33.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  34. 34.What is the additive inverse of 1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  35. 35.Write −3/27 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −3/27 (c) 1/9 (d) −9/1
  36. 36.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −1/6 (d) −2/12
  37. 37.Is −1/3 positive or negative? (a) Negative (b) Positive
  38. 38.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −5/25 (c) 1/5 (d) −1/5
  39. 39.What is 2/5 + (−1/2)? (a) −1/10 (b) 1/10 (c) 1/7 (d) 9/10
  40. 40.What is (−3/5) + 2/5? (a) −1/5 (b) 1/5 (c) −1/10 (d) −1

Answer key

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

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