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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 844 · 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: −5/9 or −7/9? (a) −7/9 (b) −5/9
  2. 2.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −20/36 (c) −9/5 (d) −5/9
  3. 3.What is (−2/7) − 1/2? (a) −11/14 (b) −1/3 (c) 11/14 (d) 3/14
  4. 4.Is −8/2 positive or negative? (a) Positive (b) Negative
  5. 5.What is the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  6. 6.What is 1/9 − (−7/9)? (a) 8/9 (b) −8/9 (c) −2/3 (d) 4/9
  7. 7.Which is smaller: −7/9 or −5/7? (a) −5/7 (b) −7/9
  8. 8.What is (−5/6) + (−3/7)? (a) −53/42 (b) 53/42 (c) −8/13 (d) −17/42
  9. 9.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) −6/5 (c) −5/6 (d) 6/5
  10. 10.Which is smaller: −3/8 or −3/5? (a) −3/8 (b) −3/5
  11. 11.Which is smaller: −2/3 or 3/4? (a) 3/4 (b) −2/3
  12. 12.Is −6/2 positive or negative? (a) Negative (b) Positive
  13. 13.Write −3/15 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/1 (d) −3/15
  14. 14.Is 7/4 positive or negative? (a) Negative (b) Positive
  15. 15.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) 1/9 (d) −1/9
  16. 16.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  17. 17.What is (−6/7) − (−3/4)? (a) −3/28 (b) 3/28 (c) −45/28 (d) −3/11
  18. 18.What is the additive inverse of −5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8
  19. 19.What is (−8/9) − 4/9? (a) −4/3 (b) −4/9 (c) −2/3 (d) 4/3
  20. 20.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  21. 21.What is (−7/8) + (−1/3)? (a) −13/24 (b) −8/11 (c) 29/24 (d) −29/24
  22. 22.What is (−5/6) − (−1/3)? (a) −4/9 (b) 1/2 (c) −1/2 (d) −7/6
  23. 23.Which is bigger: −2/7 or 8/9? (a) 8/9 (b) −2/7
  24. 24.Which is smaller: −1/5 or −3/5? (a) −1/5 (b) −3/5
  25. 25.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  26. 26.Is −3/7 positive or negative? (a) Positive (b) Negative
  27. 27.What is (−3/7) + 2/7? (a) −1/7 (b) −5/7 (c) 1/7 (d) −1/14
  28. 28.Which is smaller: −1/3 or 1/4? (a) 1/4 (b) −1/3
  29. 29.What is (−2/5) − 1/4? (a) 13/20 (b) −13/20 (c) −1/3 (d) −3/20
  30. 30.Is −1/9 positive or negative? (a) Positive (b) Negative
  31. 31.Which is smaller: −6/7 or −1/2? (a) −6/7 (b) −1/2
  32. 32.Which is bigger: −6/7 or −3/7? (a) −6/7 (b) −3/7
  33. 33.What is (−6/7) + (−2/7)? (a) 8/7 (b) −4/7 (c) −8/7
  34. 34.What is (−3/8) − (−2/3)? (a) 7/24 (b) −1/11 (c) −7/24 (d) −25/24
  35. 35.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −15/27
  36. 36.Which is smaller: −3/7 or 3/4? (a) −3/7 (b) 3/4
  37. 37.Is −4/7 positive or negative? (a) Negative (b) Positive
  38. 38.Which is bigger: −3/5 or 5/9? (a) −3/5 (b) 5/9
  39. 39.What is (−4/7) + 4/5? (a) 0 (b) −48/35 (c) −8/35 (d) 8/35
  40. 40.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −4/16 (d) −1/4

Answer key

  1. −7/9
  2. −5/9
  3. −11/14
  4. Negative
  5. 8/7
  6. 8/9
  7. −7/9
  8. −53/42
  9. 6/5
  10. −3/5
  11. −2/3
  12. Negative
  13. −1/5
  14. Positive
  15. −1/9
  16. 9/4
  17. −3/28
  18. 5/8
  19. −4/3
  20. −1/8
  21. −29/24
  22. −1/2
  23. 8/9
  24. −3/5
  25. −5/4
  26. Negative
  27. −1/7
  28. −1/3
  29. −13/20
  30. Negative
  31. −6/7
  32. −3/7
  33. −8/7
  34. 7/24
  35. −5/9
  36. −3/7
  37. Negative
  38. 5/9
  39. 8/35
  40. −1/4

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