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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 824 · 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.What is 1/2 − (−5/7)? (a) 17/14 (b) −17/14 (c) −3/14 (d) 2/3
  2. 2.What is (−1/4) − (−2/3)? (a) 5/12 (b) −5/12 (c) −11/12 (d) 1/7
  3. 3.Is 6/(−5) positive or negative? (a) Positive (b) Negative
  4. 4.Is 4/6 positive or negative? (a) Positive (b) Negative
  5. 5.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) −5/2 (c) 2/5 (d) −2/5
  6. 6.What is 2/3 + (−8/9)? (a) −1/2 (b) −2/9 (c) 2/9 (d) 14/9
  7. 7.What is (−1/2) − 7/9? (a) −8/11 (b) 5/18 (c) −23/18 (d) 23/18
  8. 8.What is 8/9 + (−4/9)? (a) −4/9 (b) 2/9 (c) 4/3 (d) 4/9
  9. 9.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −3/21 (c) −7/1 (d) −1/7
  10. 10.What is 1/9 − (−1/4)? (a) −13/36 (b) −5/36 (c) 2/13 (d) 13/36
  11. 11.What is the additive inverse of 3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  12. 12.What is (−1/2) + 2/3? (a) −7/6 (b) 1/5 (c) 1/6 (d) −1/6
  13. 13.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  14. 14.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  15. 15.What is the additive inverse of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  16. 16.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  17. 17.What is (−5/7) + (−5/6)? (a) −10/13 (b) 65/42 (c) 5/42 (d) −65/42
  18. 18.What is 7/8 + (−3/4)? (a) 13/8 (b) −1/8 (c) 1/3 (d) 1/8
  19. 19.Which is smaller: −1/7 or −5/8? (a) −1/7 (b) −5/8
  20. 20.What is the additive inverse of −5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  21. 21.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −12/16 (b) −3/4 (c) 3/4 (d) −4/3
  22. 22.Is −2/5 positive or negative? (a) Positive (b) Negative
  23. 23.What is 3/4 − (−1/5)? (a) −19/20 (b) 4/9 (c) 19/20 (d) 11/20
  24. 24.What is 1/6 + (−1/8)? (a) 0 (b) 7/24 (c) 1/24 (d) −1/24
  25. 25.Is 9/(−5) positive or negative? (a) Negative (b) Positive
  26. 26.What is the additive inverse of −3/7? (a) 7/3 (b) 3/7 (c) −3/7 (d) −7/3
  27. 27.Write −4/14 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −4/14 (c) −2/7 (d) −7/2
  28. 28.Is 5/4 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−1/8) + 5/8? (a) 1/2 (b) −1/2 (c) 1/4 (d) −3/4
  30. 30.Is −2/7 positive or negative? (a) Negative (b) Positive
  31. 31.Write −3/6 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) −3/6 (d) 1/2
  32. 32.Which is smaller: −3/7 or −2/3? (a) −2/3 (b) −3/7
  33. 33.Which is bigger: −5/6 or −1/6? (a) −1/6 (b) −5/6
  34. 34.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −3/15
  35. 35.Which is smaller: −8/9 or 5/7? (a) −8/9 (b) 5/7
  36. 36.What is (−2/3) + (−2/7)? (a) −8/21 (b) 20/21 (c) −2/5 (d) −20/21
  37. 37.What is the additive inverse of 5/6? (a) −6/5 (b) 6/5 (c) −5/6 (d) 5/6
  38. 38.Which is smaller: −2/9 or 6/7? (a) 6/7 (b) −2/9
  39. 39.What is (−2/5) + 3/7? (a) 1/12 (b) 1/35 (c) −29/35 (d) −1/35
  40. 40.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −15/21 (d) 5/7

Answer key

  1. 17/14
  2. 5/12
  3. Negative
  4. Positive
  5. −2/5
  6. −2/9
  7. −23/18
  8. 4/9
  9. −1/7
  10. 13/36
  11. −3/8
  12. 1/6
  13. −2
  14. Positive
  15. 2/9
  16. 5/4
  17. −65/42
  18. 1/8
  19. −5/8
  20. 5/9
  21. −3/4
  22. Negative
  23. 19/20
  24. 1/24
  25. Negative
  26. 3/7
  27. −2/7
  28. Positive
  29. 1/2
  30. Negative
  31. −1/2
  32. −2/3
  33. −1/6
  34. −1/5
  35. −8/9
  36. −20/21
  37. −5/6
  38. −2/9
  39. 1/35
  40. −5/7

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