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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 455 · 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 (−3/4) + 1/2? (a) −1/3 (b) −5/4 (c) 1/4 (d) −1/4
  2. 2.Is −4/3 positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −3/5 or 8/9? (a) 8/9 (b) −3/5
  4. 4.Write −12/54 in standard form (lowest terms, positive denominator). (a) −12/54 (b) −9/2 (c) 2/9 (d) −2/9
  5. 5.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −6/15 (c) −5/2 (d) −2/5
  6. 6.Is −4/(−4) positive or negative? (a) Negative (b) Positive
  7. 7.What is 7/9 − (−1/4)? (a) 37/36 (b) −37/36 (c) 19/36 (d) 8/13
  8. 8.Which is smaller: −3/5 or 7/8? (a) −3/5 (b) 7/8
  9. 9.What is the additive inverse of 5/8? (a) 5/8 (b) 8/5 (c) −5/8 (d) −8/5
  10. 10.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  11. 11.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −12/27 (d) −4/9
  12. 12.What is (−5/6) + 1/3? (a) 1/2 (b) −1/2 (c) −7/6 (d) −4/9
  13. 13.What is the additive inverse of −7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  14. 14.Which is smaller: −2/9 or 7/9? (a) 7/9 (b) −2/9
  15. 15.What is 1/7 − (−1/5)? (a) 12/35 (b) 1/6 (c) −12/35 (d) −2/35
  16. 16.What is (−4/5) − 3/4? (a) 31/20 (b) −31/20 (c) −7/9 (d) −1/20
  17. 17.What is the additive inverse of −3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  18. 18.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −2/14 (c) −1/7 (d) 1/7
  19. 19.Is −6/7 positive or negative? (a) Negative (b) Positive
  20. 20.What is 5/7 − (−6/7)? (a) 11/14 (b) −1/7 (c) −11/7 (d) 11/7
  21. 21.Is 6/9 positive or negative? (a) Negative (b) Positive
  22. 22.What is 1/3 − (−3/4)? (a) −5/12 (b) 4/7 (c) 13/12 (d) −13/12
  23. 23.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −5/6 (d) −10/12
  24. 24.Which is bigger: −3/8 or −1/6? (a) −1/6 (b) −3/8
  25. 25.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  26. 26.Which is bigger: −8/9 or −5/7? (a) −5/7 (b) −8/9
  27. 27.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−4/9) + (−4/9)? (a) −4/9 (b) 0 (c) −8/9 (d) 8/9
  29. 29.Which is bigger: −1/3 or −1/4? (a) −1/3 (b) −1/4
  30. 30.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  31. 31.Which is smaller: −7/9 or −2/7? (a) −2/7 (b) −7/9
  32. 32.What is the additive inverse of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  33. 33.Is 1/7 positive or negative? (a) Negative (b) Positive
  34. 34.Is 3/6 positive or negative? (a) Negative (b) Positive
  35. 35.What is 7/9 + (−1/4)? (a) 37/36 (b) −19/36 (c) 19/36 (d) 6/13
  36. 36.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −20/36 (b) −9/5 (c) −5/9 (d) 5/9
  37. 37.Which is bigger: −8/9 or −3/8? (a) −3/8 (b) −8/9
  38. 38.What is (−1/3) − (−5/9)? (a) −8/9 (b) 1/3 (c) 2/9 (d) −2/9
  39. 39.What is 6/7 + (−1/2)? (a) 19/14 (b) 5/14 (c) −5/14 (d) 5/9
  40. 40.What is (−4/7) − 2/5? (a) −1/2 (b) −6/35 (c) −34/35 (d) 34/35

Answer key

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

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