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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 665 · 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 (−2/5) − 4/5? (a) −6/5 (b) −3/5 (c) 6/5 (d) 2/5
  2. 2.Is −8/6 positive or negative? (a) Positive (b) Negative
  3. 3.What is the additive inverse of −3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  4. 4.What is (−8/9) − (−3/4)? (a) −5/36 (b) −5/13 (c) 5/36 (d) −59/36
  5. 5.What is (−2/5) − 2/9? (a) −28/45 (b) 28/45 (c) −8/45 (d) −2/7
  6. 6.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −10/45 (c) −2/9 (d) −9/2
  7. 7.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −12/16 (c) −3/4 (d) −4/3
  8. 8.What is the reciprocal (multiplicative inverse) of 1/2? (a) 2 (b) −1/2 (c) −2 (d) 1/2
  9. 9.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  10. 10.Is 9/2 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−3/8) + 6/7? (a) 27/56 (b) −27/56 (c) −69/56 (d) 1/5
  12. 12.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) −1/7 (c) −7 (d) 7
  13. 13.What is (−2/5) − (−4/7)? (a) 6/35 (b) −6/35 (c) 1/6 (d) −34/35
  14. 14.Is 5/7 positive or negative? (a) Positive (b) Negative
  15. 15.Which is bigger: −1/8 or −4/9? (a) −4/9 (b) −1/8
  16. 16.Write −3/24 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −3/24 (c) 1/8 (d) −8/1
  17. 17.Which is bigger: −4/9 or 1/4? (a) 1/4 (b) −4/9
  18. 18.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −15/27 (c) 5/9 (d) −5/9
  19. 19.What is (−2/9) + 1/9? (a) 1/9 (b) −1/18 (c) −1/9 (d) −1/3
  20. 20.What is 4/5 + (−1/6)? (a) −19/30 (b) 3/11 (c) 19/30 (d) 29/30
  21. 21.What is (−1/7) + 1/3? (a) 4/21 (b) −10/21 (c) 0 (d) −4/21
  22. 22.Is −6/3 positive or negative? (a) Positive (b) Negative
  23. 23.What is the additive inverse of −4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  24. 24.What is (−1/2) + 3/5? (a) −11/10 (b) −1/10 (c) 1/10 (d) 2/7
  25. 25.Which is smaller: −2/3 or −1/8? (a) −2/3 (b) −1/8
  26. 26.What is 5/8 + (−3/4)? (a) −1/8 (b) 1/6 (c) 1/8 (d) 11/8
  27. 27.Is −3/7 positive or negative? (a) Positive (b) Negative
  28. 28.What is the reciprocal (multiplicative inverse) of 1/9? (a) 9 (b) −9 (c) 1/9 (d) −1/9
  29. 29.What is (−5/7) − 2/5? (a) −11/35 (b) −7/12 (c) 39/35 (d) −39/35
  30. 30.What is 7/8 + (−1/8)? (a) 1 (b) −3/4 (c) 3/4 (d) 3/8
  31. 31.What is the additive inverse of 4/7? (a) −4/7 (b) 7/4 (c) −7/4 (d) 4/7
  32. 32.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  33. 33.What is 3/8 + (−7/9)? (a) −29/72 (b) 83/72 (c) −4/17 (d) 29/72
  34. 34.What is (−4/7) − (−3/8)? (a) −53/56 (b) 11/56 (c) −1/15 (d) −11/56
  35. 35.What is the additive inverse of 5/8? (a) 5/8 (b) 8/5 (c) −5/8 (d) −8/5
  36. 36.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −8/36 (d) −9/2
  37. 37.Which is smaller: −4/5 or −2/9? (a) −2/9 (b) −4/5
  38. 38.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  39. 39.What is (−5/6) + 7/8? (a) −1/24 (b) −41/24 (c) 1/7 (d) 1/24
  40. 40.What is 5/6 + (−1/9)? (a) 13/18 (b) 17/18 (c) 4/15 (d) −13/18

Answer key

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

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