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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 549 · 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 1/8 positive or negative? (a) Positive (b) Negative
  2. 2.What is the reciprocal (multiplicative inverse) of −5/8? (a) 8/5 (b) 5/8 (c) −8/5 (d) −5/8
  3. 3.What is 5/8 + (−1/8)? (a) 3/4 (b) −1/2 (c) 1/4 (d) 1/2
  4. 4.What is (−1/6) − (−4/5)? (a) −19/30 (b) 19/30 (c) −29/30 (d) 3/11
  5. 5.Which is bigger: −5/8 or 4/7? (a) 4/7 (b) −5/8
  6. 6.Which is smaller: −1/3 or 7/9? (a) 7/9 (b) −1/3
  7. 7.Write −5/15 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −5/15
  8. 8.What is (−1/8) + (−2/7)? (a) 23/56 (b) −23/56 (c) −1/5 (d) 9/56
  9. 9.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of −5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  11. 11.What is (−2/3) − 1/4? (a) −3/7 (b) −5/12 (c) 11/12 (d) −11/12
  12. 12.What is the additive inverse of −4/9? (a) −9/4 (b) 4/9 (c) 9/4 (d) −4/9
  13. 13.Which is smaller: −3/5 or 4/5? (a) −3/5 (b) 4/5
  14. 14.What is the additive inverse of 2/5? (a) −5/2 (b) 2/5 (c) −2/5 (d) 5/2
  15. 15.Which is smaller: −2/9 or −3/5? (a) −3/5 (b) −2/9
  16. 16.What is (−5/7) − 2/7? (a) −3/7 (b) −1/2 (c) 1 (d) −1
  17. 17.Which is bigger: −6/7 or 2/9? (a) 2/9 (b) −6/7
  18. 18.What is the additive inverse of −4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  19. 19.What is (−5/8) + 6/7? (a) −13/56 (b) 13/56 (c) 1/15 (d) −83/56
  20. 20.Is 5/(−5) positive or negative? (a) Positive (b) Negative
  21. 21.Which is smaller: −3/4 or −1/4? (a) −1/4 (b) −3/4
  22. 22.Is −7/3 positive or negative? (a) Positive (b) Negative
  23. 23.Is 2/4 positive or negative? (a) Negative (b) Positive
  24. 24.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −12/42
  25. 25.Is 1/6 positive or negative? (a) Positive (b) Negative
  26. 26.What is 1/9 − (−2/5)? (a) 3/14 (b) 23/45 (c) −23/45 (d) −13/45
  27. 27.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −3/12 (c) −4/1 (d) −1/4
  28. 28.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −12/15 (d) −4/5
  29. 29.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −1/3 or −2/3? (a) −1/3 (b) −2/3
  31. 31.Which is smaller: −8/9 or 1/9? (a) 1/9 (b) −8/9
  32. 32.What is 2/3 − (−5/7)? (a) −29/21 (b) 29/21 (c) −1/21 (d) 7/10
  33. 33.Write −25/30 in standard form (lowest terms, positive denominator). (a) −25/30 (b) −6/5 (c) 5/6 (d) −5/6
  34. 34.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  35. 35.Which is bigger: −7/8 or 4/7? (a) 4/7 (b) −7/8
  36. 36.What is 1/8 + (−5/7)? (a) 33/56 (b) 47/56 (c) −4/15 (d) −33/56
  37. 37.Which is bigger: −2/9 or 5/8? (a) −2/9 (b) 5/8
  38. 38.What is the additive inverse of −7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  39. 39.What is (−1/3) + (−6/7)? (a) 25/21 (b) −7/10 (c) −25/21 (d) 11/21
  40. 40.Write −5/35 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −5/35 (d) −1/7

Answer key

  1. Positive
  2. −8/5
  3. 1/2
  4. 19/30
  5. 4/7
  6. −1/3
  7. −1/3
  8. −23/56
  9. Negative
  10. 5/8
  11. −11/12
  12. 4/9
  13. −3/5
  14. −2/5
  15. −3/5
  16. −1
  17. 2/9
  18. 4/7
  19. 13/56
  20. Negative
  21. −3/4
  22. Negative
  23. Positive
  24. −2/7
  25. Positive
  26. 23/45
  27. −1/4
  28. −4/5
  29. Negative
  30. −2/3
  31. −8/9
  32. 29/21
  33. −5/6
  34. −3/2
  35. 4/7
  36. −33/56
  37. 5/8
  38. 7/8
  39. −25/21
  40. −1/7

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