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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 679 · 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: −1/9 or 3/7? (a) 3/7 (b) −1/9
  2. 2.Is −6/(−3) positive or negative? (a) Positive (b) Negative
  3. 3.Is 3/8 positive or negative? (a) Positive (b) Negative
  4. 4.Write −10/16 in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −5/8 (d) −10/16
  5. 5.Which is bigger: −3/4 or 4/5? (a) −3/4 (b) 4/5
  6. 6.What is (−2/3) − 1/8? (a) −13/24 (b) 19/24 (c) −19/24 (d) −3/11
  7. 7.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  8. 8.What is (−8/9) + (−2/9)? (a) −5/9 (b) −2/3 (c) −10/9 (d) 10/9
  9. 9.What is (−4/7) − (−1/7)? (a) −3/14 (b) −5/7 (c) −3/7 (d) 3/7
  10. 10.Is 7/2 positive or negative? (a) Negative (b) Positive
  11. 11.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −25/40 (b) −8/5 (c) −5/8 (d) 5/8
  12. 12.Which is smaller: −4/7 or 1/3? (a) 1/3 (b) −4/7
  13. 13.What is the additive inverse of −1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  14. 14.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) −7 (c) 1/7 (d) 7
  15. 15.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) −5/8 (c) 8/5 (d) 5/8
  16. 16.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  18. 18.Which is bigger: −1/9 or −5/6? (a) −1/9 (b) −5/6
  19. 19.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) 5 (d) −5
  20. 20.Is −7/3 positive or negative? (a) Positive (b) Negative
  21. 21.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−1/4) + (−1/2)? (a) −1/3 (b) −3/4 (c) 3/4 (d) 1/4
  23. 23.What is 1/6 − (−3/7)? (a) −11/42 (b) −25/42 (c) 4/13 (d) 25/42
  24. 24.What is the additive inverse of −8/9? (a) −8/9 (b) 9/8 (c) 8/9 (d) −9/8
  25. 25.What is (−1/3) − 1/4? (a) −7/12 (b) −2/7 (c) 7/12 (d) −1/12
  26. 26.Write −3/21 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) 1/7 (d) −3/21
  27. 27.What is the additive inverse of 1/8? (a) 1/8 (b) −1/8 (c) 8 (d) −8
  28. 28.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  29. 29.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −16/28 (c) −7/4 (d) 4/7
  30. 30.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) 8/3 (c) −8/3 (d) −3/8
  31. 31.Is −7/7 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−7/8) + 1/8? (a) 3/4 (b) −3/4 (c) −1 (d) −3/8
  33. 33.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −3/18 (d) 1/6
  34. 34.What is the additive inverse of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  35. 35.Is −9/4 positive or negative? (a) Negative (b) Positive
  36. 36.Is −3/6 positive or negative? (a) Negative (b) Positive
  37. 37.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) −4/14 (d) 2/7
  38. 38.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  39. 39.What is 1/4 + (−1/2)? (a) 3/4 (b) 1/4 (c) 0 (d) −1/4
  40. 40.What is (−1/8) + (−1/5)? (a) 3/40 (b) −13/40 (c) 13/40 (d) −2/13

Answer key

  1. −1/9
  2. Positive
  3. Positive
  4. −5/8
  5. 4/5
  6. −19/24
  7. −1/4
  8. −10/9
  9. −3/7
  10. Positive
  11. −5/8
  12. −4/7
  13. 1/3
  14. 7
  15. 8/5
  16. Positive
  17. −9/2
  18. −1/9
  19. 5
  20. Negative
  21. Negative
  22. −3/4
  23. 25/42
  24. 8/9
  25. −7/12
  26. −1/7
  27. −1/8
  28. −6/5
  29. −4/7
  30. 8/3
  31. Negative
  32. −3/4
  33. −1/6
  34. −4/7
  35. Negative
  36. Negative
  37. −2/7
  38. 9/7
  39. −1/4
  40. −13/40

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