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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 712 · 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.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  2. 2.Write −3/15 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −3/15
  3. 3.Write −8/18 in standard form (lowest terms, positive denominator). (a) −8/18 (b) −4/9 (c) 4/9 (d) −9/4
  4. 4.Which is smaller: −4/5 or −2/3? (a) −4/5 (b) −2/3
  5. 5.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) 2/9 (c) −2/9 (d) −9/2
  6. 6.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  7. 7.Is −4/(−4) positive or negative? (a) Positive (b) Negative
  8. 8.What is the additive inverse of −4/5? (a) 5/4 (b) 4/5 (c) −4/5 (d) −5/4
  9. 9.Is −2/(−6) positive or negative? (a) Positive (b) Negative
  10. 10.Which is bigger: −5/8 or 2/9? (a) −5/8 (b) 2/9
  11. 11.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  12. 12.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −1/7 or −5/6? (a) −5/6 (b) −1/7
  14. 14.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −9/5 (d) −15/27
  15. 15.Which is smaller: −2/3 or −2/9? (a) −2/3 (b) −2/9
  16. 16.What is (−4/9) + 2/3? (a) −10/9 (b) −1/6 (c) −2/9 (d) 2/9
  17. 17.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) 2/3 (c) −3/2 (d) −2/3
  18. 18.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  19. 19.Which is bigger: −2/9 or −7/8? (a) −2/9 (b) −7/8
  20. 20.What is (−4/5) − 1/6? (a) −19/30 (b) 29/30 (c) −5/11 (d) −29/30
  21. 21.Which is smaller: −3/5 or 7/8? (a) −3/5 (b) 7/8
  22. 22.What is the additive inverse of 2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  23. 23.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  24. 24.Is 8/(−4) positive or negative? (a) Negative (b) Positive
  25. 25.Is 2/(−6) positive or negative? (a) Negative (b) Positive
  26. 26.What is 1/6 + (−4/5)? (a) 29/30 (b) −19/30 (c) −3/11 (d) 19/30
  27. 27.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −12/18 (b) −2/3 (c) 2/3 (d) −3/2
  28. 28.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −4/18 (c) 2/9 (d) −2/9
  29. 29.What is 7/8 − (−4/5)? (a) −67/40 (b) 11/13 (c) 3/40 (d) 67/40
  30. 30.What is 1/8 + (−2/5)? (a) −11/40 (b) 11/40 (c) 21/40 (d) −1/13
  31. 31.What is the additive inverse of −2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  32. 32.What is (−1/2) + (−2/5)? (a) −3/7 (b) −1/10 (c) 9/10 (d) −9/10
  33. 33.Which is bigger: −4/7 or −3/5? (a) −3/5 (b) −4/7
  34. 34.Which is bigger: −1/7 or −5/9? (a) −5/9 (b) −1/7
  35. 35.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) −1/5 (c) 1/5 (d) −5/1
  36. 36.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  37. 37.What is (−1/4) − (−1/6)? (a) −5/12 (b) 0 (c) 1/12 (d) −1/12
  38. 38.Which is bigger: −5/9 or −4/5? (a) −4/5 (b) −5/9
  39. 39.What is 7/8 + (−2/5)? (a) −19/40 (b) 19/40 (c) 51/40 (d) 5/13
  40. 40.Is 2/(−2) positive or negative? (a) Positive (b) Negative

Answer key

  1. Positive
  2. −1/5
  3. −4/9
  4. −4/5
  5. −2/9
  6. Positive
  7. Positive
  8. 4/5
  9. Positive
  10. 2/9
  11. Positive
  12. Negative
  13. −5/6
  14. −5/9
  15. −2/3
  16. 2/9
  17. −2/3
  18. 9/7
  19. −2/9
  20. −29/30
  21. −3/5
  22. −2/3
  23. −8
  24. Negative
  25. Negative
  26. −19/30
  27. −2/3
  28. −2/9
  29. 67/40
  30. −11/40
  31. 2/7
  32. −9/10
  33. −4/7
  34. −1/7
  35. −1/5
  36. −2/5
  37. −1/12
  38. −5/9
  39. 19/40
  40. Negative

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