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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 721 · 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 −6/(−9) positive or negative? (a) Positive (b) Negative
  2. 2.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −6/14 (d) −3/7
  3. 3.What is (−5/9) + 8/9? (a) −1/3 (b) 1/6 (c) 1/3 (d) −13/9
  4. 4.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −3/15
  5. 5.Is −7/2 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−8/9) + 2/3? (a) −1/2 (b) −2/9 (c) −14/9 (d) 2/9
  7. 7.What is 1/9 + (−3/8)? (a) −2/17 (b) −19/72 (c) 19/72 (d) 35/72
  8. 8.What is the additive inverse of 1/5? (a) −5 (b) 5 (c) −1/5 (d) 1/5
  9. 9.What is (−1/3) + (−1/4)? (a) 7/12 (b) −2/7 (c) −1/12 (d) −7/12
  10. 10.Is −3/6 positive or negative? (a) Positive (b) Negative
  11. 11.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) 5/9 (d) −25/45
  12. 12.What is (−2/7) − 7/8? (a) −3/5 (b) −65/56 (c) 65/56 (d) 33/56
  13. 13.What is (−1/6) + 4/7? (a) −17/42 (b) 17/42 (c) 3/13 (d) −31/42
  14. 14.What is the additive inverse of 4/9? (a) −9/4 (b) 4/9 (c) −4/9 (d) 9/4
  15. 15.Which is bigger: −2/5 or 6/7? (a) −2/5 (b) 6/7
  16. 16.Which is bigger: −8/9 or 1/7? (a) −8/9 (b) 1/7
  17. 17.Is 3/(−8) positive or negative? (a) Negative (b) Positive
  18. 18.Which is bigger: −5/6 or −2/3? (a) −2/3 (b) −5/6
  19. 19.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  20. 20.What is 1/7 + (−1/8)? (a) −1/56 (b) 1/56 (c) 15/56 (d) 0
  21. 21.What is 4/7 + (−1/4)? (a) 23/28 (b) 3/11 (c) −9/28 (d) 9/28
  22. 22.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −5/45
  23. 23.Is 8/8 positive or negative? (a) Negative (b) Positive
  24. 24.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −18/24 (c) −4/3 (d) −3/4
  25. 25.What is (−4/5) + 8/9? (a) −76/45 (b) 2/7 (c) −4/45 (d) 4/45
  26. 26.Write −15/18 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −15/18 (d) −5/6
  27. 27.What is 1/2 − (−1/4)? (a) 3/4 (b) 1/4 (c) 1/3 (d) −3/4
  28. 28.Which is bigger: −1/3 or −2/7? (a) −2/7 (b) −1/3
  29. 29.What is the additive inverse of −1/7? (a) −1/7 (b) −7 (c) 7 (d) 1/7
  30. 30.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  31. 31.Which is bigger: −2/3 or 5/7? (a) −2/3 (b) 5/7
  32. 32.What is (−1/6) − (−1/2)? (a) 1/3 (b) 0 (c) −2/3 (d) −1/3
  33. 33.Which is smaller: −1/8 or −1/9? (a) −1/9 (b) −1/8
  34. 34.What is 5/8 − (−2/9)? (a) 61/72 (b) 7/17 (c) 29/72 (d) −61/72
  35. 35.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) 2/3 (c) −2/3 (d) −3/2
  37. 37.Which is bigger: −7/8 or −3/4? (a) −3/4 (b) −7/8
  38. 38.What is the additive inverse of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  39. 39.What is (−5/7) + 1/6? (a) −23/42 (b) −4/13 (c) −37/42 (d) 23/42
  40. 40.What is the additive inverse of −4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4

Answer key

  1. Positive
  2. −3/7
  3. 1/3
  4. −1/5
  5. Negative
  6. −2/9
  7. −19/72
  8. −1/5
  9. −7/12
  10. Negative
  11. −5/9
  12. −65/56
  13. 17/42
  14. −4/9
  15. 6/7
  16. 1/7
  17. Negative
  18. −2/3
  19. Positive
  20. 1/56
  21. 9/28
  22. −1/9
  23. Positive
  24. −3/4
  25. 4/45
  26. −5/6
  27. 3/4
  28. −2/7
  29. 1/7
  30. −7
  31. 5/7
  32. 1/3
  33. −1/8
  34. 61/72
  35. Positive
  36. −2/3
  37. −3/4
  38. 1/3
  39. −23/42
  40. 4/7

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