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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 927 · 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 (−5/6) − 7/9? (a) −1/18 (b) −4/5 (c) 29/18 (d) −29/18
  2. 2.Is −3/(−6) positive or negative? (a) Negative (b) Positive
  3. 3.What is 2/9 + (−1/7)? (a) 23/63 (b) 5/63 (c) 1/16 (d) −5/63
  4. 4.What is (−3/8) + 4/9? (a) −5/72 (b) 1/17 (c) −59/72 (d) 5/72
  5. 5.Which is smaller: −2/5 or 7/8? (a) 7/8 (b) −2/5
  6. 6.What is (−1/6) + (−1/4)? (a) 1/12 (b) −1/5 (c) −5/12 (d) 5/12
  7. 7.What is (−4/5) − 7/8? (a) −67/40 (b) 3/40 (c) 67/40 (d) −11/13
  8. 8.What is (−1/3) − 1/2? (a) −2/5 (b) 5/6 (c) 1/6 (d) −5/6
  9. 9.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −18/24 (c) −3/4 (d) −4/3
  10. 10.Is 9/7 positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −1/6 or −5/6? (a) −1/6 (b) −5/6
  12. 12.What is (−3/8) − (−1/7)? (a) −2/15 (b) −13/56 (c) −29/56 (d) 13/56
  13. 13.What is 1/2 + (−3/7)? (a) −2/9 (b) 1/14 (c) −1/14 (d) 13/14
  14. 14.Write −25/45 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −25/45
  15. 15.Which is smaller: −1/6 or 2/7? (a) −1/6 (b) 2/7
  16. 16.Which is bigger: −2/5 or −2/9? (a) −2/5 (b) −2/9
  17. 17.What is 1/3 − (−3/5)? (a) −14/15 (b) −4/15 (c) 1/2 (d) 14/15
  18. 18.What is 3/4 + (−1/3)? (a) 2/7 (b) 13/12 (c) 5/12 (d) −5/12
  19. 19.What is the additive inverse of −1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  20. 20.What is (−3/7) + (−2/5)? (a) −29/35 (b) −5/12 (c) −1/35 (d) 29/35
  21. 21.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  22. 22.Is −8/8 positive or negative? (a) Positive (b) Negative
  23. 23.What is the additive inverse of 2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  24. 24.Which is smaller: −5/6 or −1/5? (a) −1/5 (b) −5/6
  25. 25.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) 5/8 (d) −25/40
  26. 26.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  27. 27.What is 7/8 − (−4/5)? (a) −67/40 (b) 3/40 (c) 67/40 (d) 11/13
  28. 28.Which is bigger: −1/9 or −2/9? (a) −1/9 (b) −2/9
  29. 29.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  30. 30.Which is smaller: −1/3 or 1/6? (a) −1/3 (b) 1/6
  31. 31.What is 1/2 + (−4/5)? (a) −3/7 (b) 13/10 (c) −3/10 (d) 3/10
  32. 32.Which is smaller: −2/7 or 8/9? (a) 8/9 (b) −2/7
  33. 33.What is the additive inverse of 1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  34. 34.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  35. 35.What is 1/9 + (−3/4)? (a) −2/13 (b) −23/36 (c) 31/36 (d) 23/36
  36. 36.Which is bigger: −8/9 or −1/3? (a) −1/3 (b) −8/9
  37. 37.What is (−4/7) − 5/7? (a) 1/7 (b) 9/7 (c) −9/14 (d) −9/7
  38. 38.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) −8/14 (d) 4/7
  39. 39.What is the additive inverse of 3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  40. 40.Is −8/(−6) positive or negative? (a) Negative (b) Positive

Answer key

  1. −29/18
  2. Positive
  3. 5/63
  4. 5/72
  5. −2/5
  6. −5/12
  7. −67/40
  8. −5/6
  9. −3/4
  10. Positive
  11. −5/6
  12. −13/56
  13. 1/14
  14. −5/9
  15. −1/6
  16. −2/9
  17. 14/15
  18. 5/12
  19. 1/2
  20. −29/35
  21. Negative
  22. Negative
  23. −2/9
  24. −5/6
  25. −5/8
  26. 3
  27. 67/40
  28. −1/9
  29. 4
  30. −1/3
  31. −3/10
  32. −2/7
  33. −1/9
  34. −9/5
  35. −23/36
  36. −1/3
  37. −9/7
  38. −4/7
  39. −3/8
  40. Positive

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