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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 349 · 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 the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  2. 2.Which is bigger: −2/9 or 4/5? (a) −2/9 (b) 4/5
  3. 3.What is (−5/6) − 5/9? (a) 25/18 (b) −2/3 (c) −25/18 (d) −5/18
  4. 4.What is (−2/3) − 3/7? (a) 23/21 (b) −5/21 (c) −1/2 (d) −23/21
  5. 5.Is 5/3 positive or negative? (a) Negative (b) Positive
  6. 6.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −25/45
  7. 7.Is −1/2 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−1/8) + (−4/5)? (a) −5/13 (b) 27/40 (c) 37/40 (d) −37/40
  9. 9.Is 5/6 positive or negative? (a) Positive (b) Negative
  10. 10.Is −2/3 positive or negative? (a) Positive (b) Negative
  11. 11.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −2/18
  12. 12.What is (−2/9) − 6/7? (a) 68/63 (b) −1/2 (c) −68/63 (d) 40/63
  13. 13.What is (−5/7) + 1/8? (a) 33/56 (b) −33/56 (c) −4/15 (d) −47/56
  14. 14.What is (−1/4) + 1/2? (a) 1/4 (b) 0 (c) −1/4 (d) −3/4
  15. 15.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  16. 16.Which is smaller: −1/8 or −4/5? (a) −1/8 (b) −4/5
  17. 17.Which is smaller: −1/8 or 7/9? (a) −1/8 (b) 7/9
  18. 18.Which is smaller: −1/7 or −4/5? (a) −1/7 (b) −4/5
  19. 19.What is the additive inverse of 1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  20. 20.What is (−1/5) + (−5/6)? (a) 31/30 (b) −31/30 (c) 19/30 (d) −6/11
  21. 21.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −6/30 (b) 1/5 (c) −1/5 (d) −5/1
  22. 22.What is (−3/8) + 2/9? (a) −1/17 (b) 11/72 (c) −11/72 (d) −43/72
  23. 23.Which is smaller: −1/3 or 5/8? (a) −1/3 (b) 5/8
  24. 24.What is the additive inverse of −1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  25. 25.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −2/10 (d) 1/5
  26. 26.What is 3/8 − (−2/7)? (a) −37/56 (b) 5/56 (c) 1/3 (d) 37/56
  27. 27.What is the additive inverse of 1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  28. 28.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  29. 29.What is (−1/4) + 7/9? (a) −37/36 (b) 19/36 (c) −19/36 (d) 6/13
  30. 30.What is (−4/9) − 4/9? (a) 0 (b) 8/9 (c) −4/9 (d) −8/9
  31. 31.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −35/40 (b) −8/7 (c) −7/8 (d) 7/8
  32. 32.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  33. 33.What is the additive inverse of 3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  34. 34.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −5/4 (d) −12/15
  36. 36.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −20/36 (d) −5/9
  37. 37.Which is smaller: −6/7 or 3/4? (a) 3/4 (b) −6/7
  38. 38.What is (−3/8) + (−1/3)? (a) −4/11 (b) −1/24 (c) 17/24 (d) −17/24
  39. 39.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  40. 40.What is the additive inverse of 1/9? (a) 1/9 (b) −1/9 (c) −9 (d) 9

Answer key

  1. −3/5
  2. 4/5
  3. −25/18
  4. −23/21
  5. Positive
  6. −5/9
  7. Negative
  8. −37/40
  9. Positive
  10. Negative
  11. −1/9
  12. −68/63
  13. −33/56
  14. 1/4
  15. Negative
  16. −4/5
  17. −1/8
  18. −4/5
  19. −1/8
  20. −31/30
  21. −1/5
  22. −11/72
  23. −1/3
  24. 1/2
  25. −1/5
  26. 37/56
  27. −1/3
  28. Negative
  29. 19/36
  30. −8/9
  31. −7/8
  32. −2/7
  33. −3/7
  34. Positive
  35. −4/5
  36. −5/9
  37. −6/7
  38. −17/24
  39. 8/3
  40. −1/9

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