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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 101 · 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 −5/(−4) positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −1/2 or −6/7? (a) −6/7 (b) −1/2
  3. 3.Which is smaller: −1/5 or 1/8? (a) −1/5 (b) 1/8
  4. 4.Is 1/6 positive or negative? (a) Negative (b) Positive
  5. 5.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −48/54 (c) 8/9 (d) −9/8
  6. 6.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  7. 7.What is 7/9 + (−2/3)? (a) −1/9 (b) 1/9 (c) 13/9 (d) 5/12
  8. 8.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  9. 9.Which is bigger: −4/5 or −3/5? (a) −4/5 (b) −3/5
  10. 10.Which is bigger: −1/7 or −3/8? (a) −1/7 (b) −3/8
  11. 11.Write −5/10 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −5/10 (c) −2/1 (d) −1/2
  12. 12.Is 2/8 positive or negative? (a) Negative (b) Positive
  13. 13.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −42/48 (d) −8/7
  14. 14.Which is smaller: −1/5 or −1/6? (a) −1/5 (b) −1/6
  15. 15.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) 2/3 (c) −3/2 (d) −2/3
  16. 16.What is 2/5 + (−1/5)? (a) 1/5 (b) −1/5 (c) 3/5 (d) 1/10
  17. 17.Is −5/6 positive or negative? (a) Positive (b) Negative
  18. 18.Which is bigger: −2/9 or −5/6? (a) −5/6 (b) −2/9
  19. 19.Which is bigger: −1/5 or 1/6? (a) −1/5 (b) 1/6
  20. 20.Which is bigger: −1/8 or −2/5? (a) −2/5 (b) −1/8
  21. 21.Which is bigger: −3/7 or −1/4? (a) −1/4 (b) −3/7
  22. 22.Write −4/6 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −2/3 (d) −4/6
  23. 23.Which is bigger: −3/5 or 5/7? (a) 5/7 (b) −3/5
  24. 24.Which is bigger: −1/6 or 1/7? (a) −1/6 (b) 1/7
  25. 25.Write −9/12 in standard form (lowest terms, positive denominator). (a) −9/12 (b) 3/4 (c) −4/3 (d) −3/4
  26. 26.Write −20/28 in standard form (lowest terms, positive denominator). (a) −20/28 (b) −7/5 (c) 5/7 (d) −5/7
  27. 27.Is 5/4 positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −3/4 or 1/6? (a) −3/4 (b) 1/6
  29. 29.What is (−3/7) + 1/8? (a) −17/56 (b) 17/56 (c) −2/15 (d) −31/56
  30. 30.Which is smaller: −2/9 or −4/5? (a) −4/5 (b) −2/9
  31. 31.What is the additive inverse of 2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  32. 32.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −16/18 (d) 8/9
  33. 33.Which is bigger: −6/7 or −5/9? (a) −5/9 (b) −6/7
  34. 34.What is the additive inverse of 7/9? (a) −7/9 (b) 9/7 (c) −9/7 (d) 7/9
  35. 35.Which is bigger: −1/2 or 7/8? (a) −1/2 (b) 7/8
  36. 36.What is the additive inverse of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  37. 37.Is −1/3 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−2/5) − 3/7? (a) 1/35 (b) −29/35 (c) 29/35 (d) −5/12
  39. 39.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) −2/1 (c) 1/2 (d) −1/2
  40. 40.Which is bigger: −5/6 or 4/7? (a) 4/7 (b) −5/6

Answer key

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

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