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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 251 · 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 bigger: −4/5 or 1/9? (a) −4/5 (b) 1/9
  2. 2.Which is bigger: −1/5 or −4/7? (a) −1/5 (b) −4/7
  3. 3.What is (−7/8) + (−3/4)? (a) −13/8 (b) 13/8 (c) −5/6 (d) −1/8
  4. 4.Is 1/8 positive or negative? (a) Negative (b) Positive
  5. 5.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  6. 6.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  7. 7.Is 8/4 positive or negative? (a) Positive (b) Negative
  8. 8.Write −9/12 in standard form (lowest terms, positive denominator). (a) −9/12 (b) 3/4 (c) −4/3 (d) −3/4
  9. 9.Which is bigger: −4/9 or −2/3? (a) −2/3 (b) −4/9
  10. 10.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) −3/7 (c) −7/3 (d) 3/7
  11. 11.Is −4/(−4) positive or negative? (a) Negative (b) Positive
  12. 12.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  13. 13.What is the additive inverse of −1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  14. 14.Is −9/(−6) positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −1/4 or −1/3? (a) −1/3 (b) −1/4
  16. 16.What is (−8/9) − 5/9? (a) −13/9 (b) −13/18 (c) −1/3 (d) 13/9
  17. 17.What is (−1/3) − 3/4? (a) −4/7 (b) 5/12 (c) −13/12 (d) 13/12
  18. 18.Is 1/3 positive or negative? (a) Negative (b) Positive
  19. 19.Is −3/6 positive or negative? (a) Positive (b) Negative
  20. 20.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  21. 21.What is 3/8 + (−7/9)? (a) 29/72 (b) −29/72 (c) −4/17 (d) 83/72
  22. 22.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  23. 23.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −35/40 (c) 7/8 (d) −7/8
  24. 24.Which is smaller: −3/4 or 3/7? (a) −3/4 (b) 3/7
  25. 25.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.Is 1/5 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−2/7) + (−1/9)? (a) 25/63 (b) −25/63 (c) −3/16 (d) −11/63
  28. 28.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −10/16 (d) −8/5
  29. 29.What is the additive inverse of −4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  30. 30.Write −6/24 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −6/24 (d) 1/4
  31. 31.Which is smaller: −8/9 or −4/9? (a) −8/9 (b) −4/9
  32. 32.Which is bigger: −5/6 or 2/5? (a) 2/5 (b) −5/6
  33. 33.What is the additive inverse of 1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  34. 34.Which is bigger: −5/9 or 4/9? (a) 4/9 (b) −5/9
  35. 35.What is the additive inverse of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  36. 36.What is 1/8 − (−4/5)? (a) 5/13 (b) −27/40 (c) −37/40 (d) 37/40
  37. 37.What is (−3/7) + 1/4? (a) −19/28 (b) 5/28 (c) −5/28 (d) −2/11
  38. 38.What is (−1/8) + (−3/7)? (a) 17/56 (b) −4/15 (c) −31/56 (d) 31/56
  39. 39.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  40. 40.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) −2/3 (d) 2/3

Answer key

  1. 1/9
  2. −1/5
  3. −13/8
  4. Positive
  5. 5/2
  6. Positive
  7. Positive
  8. −3/4
  9. −4/9
  10. −7/3
  11. Positive
  12. 2/3
  13. 1/6
  14. Positive
  15. −1/4
  16. −13/9
  17. −13/12
  18. Positive
  19. Negative
  20. Negative
  21. −29/72
  22. Negative
  23. −7/8
  24. −3/4
  25. Positive
  26. Positive
  27. −25/63
  28. −5/8
  29. 4/7
  30. −1/4
  31. −8/9
  32. 2/5
  33. −1/5
  34. 4/9
  35. −7/8
  36. 37/40
  37. −5/28
  38. −31/56
  39. Negative
  40. −2/3

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