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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 812 · 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 2/3 + (−1/6)? (a) 1/9 (b) 1/2 (c) 5/6 (d) −1/2
  2. 2.What is (−2/9) − (−2/9)? (a) 0 (b) −4/9
  3. 3.Write −12/28 in standard form (lowest terms, positive denominator). (a) −12/28 (b) −7/3 (c) 3/7 (d) −3/7
  4. 4.Which is smaller: −1/5 or 7/9? (a) −1/5 (b) 7/9
  5. 5.What is the additive inverse of 1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  6. 6.Which is smaller: −3/4 or 1/5? (a) −3/4 (b) 1/5
  7. 7.Which is smaller: −3/4 or 1/9? (a) −3/4 (b) 1/9
  8. 8.What is 5/6 + (−5/9)? (a) 0 (b) 5/18 (c) 25/18 (d) −5/18
  9. 9.What is (−1/2) − 3/5? (a) 11/10 (b) −11/10 (c) 1/10 (d) −4/7
  10. 10.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −15/18 (b) −6/5 (c) 5/6 (d) −5/6
  11. 11.Is 1/3 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −8/9 or 1/5? (a) −8/9 (b) 1/5
  13. 13.What is (−5/8) − (−1/7)? (a) 27/56 (b) −4/15 (c) −43/56 (d) −27/56
  14. 14.What is 7/9 + (−8/9)? (a) 5/3 (b) −1/18 (c) 1/9 (d) −1/9
  15. 15.What is (−1/4) − 1/8? (a) 3/8 (b) −3/8 (c) −1/6 (d) −1/8
  16. 16.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  17. 17.What is the additive inverse of −5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  18. 18.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  19. 19.Which is smaller: −2/3 or −1/8? (a) −1/8 (b) −2/3
  20. 20.What is (−1/3) + 3/4? (a) −13/12 (b) 5/12 (c) 2/7 (d) −5/12
  21. 21.What is (−5/8) + 8/9? (a) −109/72 (b) −19/72 (c) 3/17 (d) 19/72
  22. 22.What is (−6/7) + 7/9? (a) 1/16 (b) 5/63 (c) −5/63 (d) −103/63
  23. 23.What is (−8/9) − 4/9? (a) −4/9 (b) 4/3 (c) −4/3 (d) −2/3
  24. 24.What is 8/9 − (−5/9)? (a) 13/9 (b) −13/9 (c) 13/18 (d) 1/3
  25. 25.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −4/24 (d) −1/6
  26. 26.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  27. 27.What is (−3/4) + 2/9? (a) −35/36 (b) −19/36 (c) −1/13 (d) 19/36
  28. 28.Is −1/8 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−1/5) + 4/7? (a) −13/35 (b) −27/35 (c) 13/35 (d) 1/4
  30. 30.What is 3/4 − (−1/6)? (a) −11/12 (b) 11/12 (c) 7/12 (d) 2/5
  31. 31.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −16/28 (b) −4/7 (c) −7/4 (d) 4/7
  32. 32.Which is smaller: −8/9 or 4/7? (a) 4/7 (b) −8/9
  33. 33.What is 1/7 − (−5/7)? (a) 3/7 (b) 6/7 (c) −4/7 (d) −6/7
  34. 34.What is the additive inverse of −1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  35. 35.Which is smaller: −4/7 or 1/9? (a) −4/7 (b) 1/9
  36. 36.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) −4/12 (d) 1/3
  37. 37.What is (−5/7) + (−2/3)? (a) −7/10 (b) −29/21 (c) −1/21 (d) 29/21
  38. 38.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  39. 39.Write −20/36 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −20/36 (d) 5/9
  40. 40.What is 2/3 + (−7/9)? (a) −1/9 (b) 13/9 (c) 1/9 (d) −5/12

Answer key

  1. 1/2
  2. 0
  3. −3/7
  4. −1/5
  5. −1/6
  6. −3/4
  7. −3/4
  8. 5/18
  9. −11/10
  10. −5/6
  11. Positive
  12. 1/5
  13. −27/56
  14. −1/9
  15. −3/8
  16. 8
  17. 5/7
  18. −2/7
  19. −2/3
  20. 5/12
  21. 19/72
  22. −5/63
  23. −4/3
  24. 13/9
  25. −1/6
  26. Negative
  27. −19/36
  28. Negative
  29. 13/35
  30. 11/12
  31. −4/7
  32. −8/9
  33. 6/7
  34. 1/6
  35. −4/7
  36. −1/3
  37. −29/21
  38. 8/7
  39. −5/9
  40. −1/9

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