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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 184 · 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).

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  1. 1.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −6/9
  2. 2.Which is smaller: −1/3 or −5/6? (a) −1/3 (b) −5/6
  3. 3.What is 1/9 + (−7/9)? (a) 8/9 (b) −1/3 (c) 2/3 (d) −2/3
  4. 4.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) −5/2 (c) 2/5 (d) −2/5
  5. 5.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  6. 6.What is the additive inverse of 1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  7. 7.What is (−7/8) + 1/2? (a) −11/8 (b) 3/8 (c) −3/5 (d) −3/8
  8. 8.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −24/54 (d) −4/9
  9. 9.What is 1/3 + (−5/9)? (a) 8/9 (b) 2/9 (c) −2/9 (d) −1/3
  10. 10.Is −8/(−9) positive or negative? (a) Negative (b) Positive
  11. 11.What is the additive inverse of 1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  12. 12.Is 3/6 positive or negative? (a) Negative (b) Positive
  13. 13.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  14. 14.What is the additive inverse of −1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  15. 15.Is 1/5 positive or negative? (a) Positive (b) Negative
  16. 16.Is −5/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −3/7 or 2/3? (a) −3/7 (b) 2/3
  18. 18.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −15/25 (b) 3/5 (c) −3/5 (d) −5/3
  19. 19.Is 8/6 positive or negative? (a) Positive (b) Negative
  20. 20.Which is smaller: −2/5 or −1/5? (a) −2/5 (b) −1/5
  21. 21.What is the reciprocal (multiplicative inverse) of −6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  22. 22.What is 3/4 + (−1/3)? (a) 5/12 (b) −5/12 (c) 2/7 (d) 13/12
  23. 23.Is −5/7 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−2/7) − 3/5? (a) −5/12 (b) 11/35 (c) −31/35 (d) 31/35
  25. 25.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/36 (b) 1/6 (c) −6/1 (d) −1/6
  26. 26.Is −4/2 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−2/5) − 2/3? (a) −1/2 (b) 16/15 (c) 4/15 (d) −16/15
  28. 28.What is (−1/5) + (−8/9)? (a) 49/45 (b) 31/45 (c) −9/14 (d) −49/45
  29. 29.What is the additive inverse of −6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  30. 30.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  31. 31.What is (−4/5) + 8/9? (a) 2/7 (b) 4/45 (c) −4/45 (d) −76/45
  32. 32.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−6/7) − 5/7? (a) −11/14 (b) −1/7 (c) −11/7 (d) 11/7
  34. 34.What is (−4/9) + 5/8? (a) −77/72 (b) −13/72 (c) 13/72 (d) 1/17
  35. 35.Is −4/(−9) positive or negative? (a) Positive (b) Negative
  36. 36.What is 3/7 − (−1/3)? (a) 16/21 (b) −16/21 (c) 2/5 (d) 2/21
  37. 37.What is (−4/9) + 3/4? (a) −1/13 (b) 11/36 (c) −11/36 (d) −43/36
  38. 38.What is the additive inverse of −4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  39. 39.Write −4/36 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −4/36 (c) −1/9 (d) 1/9
  40. 40.What is the additive inverse of 3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5

Answer key

  1. −2/3
  2. −5/6
  3. −2/3
  4. −2/5
  5. Positive
  6. −1/6
  7. −3/8
  8. −4/9
  9. −2/9
  10. Positive
  11. −1/3
  12. Positive
  13. Positive
  14. 1/4
  15. Positive
  16. Positive
  17. −3/7
  18. −3/5
  19. Positive
  20. −2/5
  21. −7/6
  22. 5/12
  23. Negative
  24. −31/35
  25. −1/6
  26. Negative
  27. −16/15
  28. −49/45
  29. 6/7
  30. −1/5
  31. 4/45
  32. Negative
  33. −11/7
  34. 13/72
  35. Positive
  36. 16/21
  37. 11/36
  38. 4/9
  39. −1/9
  40. −3/5

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