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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 962 · 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.What is the additive inverse of −5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  2. 2.What is (−2/7) − 1/2? (a) −1/3 (b) −11/14 (c) 3/14 (d) 11/14
  3. 3.What is 7/8 + (−3/4)? (a) 13/8 (b) 1/8 (c) −1/8 (d) 1/3
  4. 4.Is −8/9 positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −4/9 or −1/8? (a) −1/8 (b) −4/9
  6. 6.What is 3/5 + (−5/7)? (a) 4/35 (b) −1/6 (c) 46/35 (d) −4/35
  7. 7.What is (−1/8) + 1/3? (a) −11/24 (b) 0 (c) 5/24 (d) −5/24
  8. 8.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −8/12
  9. 9.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −35/40 (c) −7/8 (d) −8/7
  10. 10.Is −4/5 positive or negative? (a) Negative (b) Positive
  11. 11.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −20/24
  12. 12.Which is smaller: −1/3 or −4/5? (a) −1/3 (b) −4/5
  13. 13.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  14. 14.Write −12/20 in standard form (lowest terms, positive denominator). (a) −12/20 (b) −5/3 (c) −3/5 (d) 3/5
  15. 15.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  17. 17.Which is smaller: −2/3 or 3/5? (a) 3/5 (b) −2/3
  18. 18.What is 1/6 + (−3/8)? (a) 5/24 (b) 13/24 (c) −1/7 (d) −5/24
  19. 19.Is −4/7 positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  21. 21.Which is bigger: −8/9 or 1/9? (a) −8/9 (b) 1/9
  22. 22.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.What is the additive inverse of −3/8? (a) −3/8 (b) 3/8 (c) −8/3 (d) 8/3
  24. 24.Which is bigger: −7/9 or 4/5? (a) 4/5 (b) −7/9
  25. 25.What is (−1/2) − (−3/8)? (a) 1/8 (b) −1/8 (c) 1/5 (d) −7/8
  26. 26.Is −2/3 positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −3/5 or −4/9? (a) −3/5 (b) −4/9
  28. 28.Is −9/8 positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of 1/5? (a) 5 (b) −5 (c) −1/5 (d) 1/5
  30. 30.What is 1/3 + (−2/3)? (a) 1/3 (b) −1/3 (c) 1 (d) −1/6
  31. 31.What is 3/4 + (−2/3)? (a) 1/12 (b) 17/12 (c) 1/7 (d) −1/12
  32. 32.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/6) − (−1/4)? (a) −2/5 (b) −13/12 (c) −7/12 (d) 7/12
  34. 34.Write −10/35 in standard form (lowest terms, positive denominator). (a) −10/35 (b) 2/7 (c) −7/2 (d) −2/7
  35. 35.What is the additive inverse of 3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3
  36. 36.Is −5/(−2) positive or negative? (a) Positive (b) Negative
  37. 37.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) 2/7 (d) −4/14
  38. 38.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −8/28 (c) 2/7 (d) −7/2
  39. 39.Is −1/6 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−3/4) − 8/9? (a) 59/36 (b) 5/36 (c) −59/36 (d) −11/13

Answer key

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

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