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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 490 · 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 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  2. 2.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  3. 3.What is (−1/9) − (−4/5)? (a) 3/14 (b) −41/45 (c) 31/45 (d) −31/45
  4. 4.Which is smaller: −1/3 or 5/7? (a) −1/3 (b) 5/7
  5. 5.What is the additive inverse of −5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  6. 6.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) −8/7 (c) 7/8 (d) 8/7
  7. 7.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  8. 8.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −9/15
  9. 9.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) −1/9 (c) −9/1 (d) 1/9
  10. 10.What is 5/9 − (−3/8)? (a) 67/72 (b) 13/72 (c) −67/72 (d) 8/17
  11. 11.Which is bigger: −8/9 or −3/5? (a) −8/9 (b) −3/5
  12. 12.What is (−1/9) + (−4/9)? (a) 5/9 (b) −5/18 (c) −5/9 (d) 1/3
  13. 13.Which is bigger: −4/7 or 3/5? (a) −4/7 (b) 3/5
  14. 14.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −6/9 (c) −2/3 (d) −3/2
  15. 15.What is the additive inverse of 7/9? (a) 9/7 (b) −9/7 (c) −7/9 (d) 7/9
  16. 16.Is −8/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−3/4) − 1/9? (a) 31/36 (b) −4/13 (c) −31/36 (d) −23/36
  18. 18.Which is bigger: −7/8 or −1/6? (a) −1/6 (b) −7/8
  19. 19.Is 8/(−8) positive or negative? (a) Negative (b) Positive
  20. 20.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −14/16 (c) −7/8 (d) 7/8
  21. 21.What is (−4/5) − 2/7? (a) −38/35 (b) −18/35 (c) −1/2 (d) 38/35
  22. 22.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  23. 23.What is (−1/8) − 1/6? (a) −7/24 (b) 7/24 (c) 1/24 (d) −1/7
  24. 24.What is (−1/2) − (−8/9)? (a) 7/11 (b) −7/18 (c) −25/18 (d) 7/18
  25. 25.Is 6/3 positive or negative? (a) Negative (b) Positive
  26. 26.What is the additive inverse of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  27. 27.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  28. 28.What is (−3/4) + 1/5? (a) −2/9 (b) −19/20 (c) −11/20 (d) 11/20
  29. 29.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −2/4
  30. 30.Which is smaller: −3/7 or −1/4? (a) −1/4 (b) −3/7
  31. 31.What is (−2/5) − 6/7? (a) −44/35 (b) −2/3 (c) 44/35 (d) 16/35
  32. 32.What is 1/2 − (−1/6)? (a) −2/3 (b) 1/4 (c) 1/3 (d) 2/3
  33. 33.What is (−1/6) − 8/9? (a) 13/18 (b) 19/18 (c) −3/5 (d) −19/18
  34. 34.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  35. 35.Which is bigger: −1/9 or 2/5? (a) −1/9 (b) 2/5
  36. 36.What is the additive inverse of 5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  37. 37.Which is bigger: −1/5 or −1/4? (a) −1/5 (b) −1/4
  38. 38.Write −4/18 in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −4/18
  39. 39.Write −2/16 in standard form (lowest terms, positive denominator). (a) −2/16 (b) −1/8 (c) −8/1 (d) 1/8
  40. 40.What is the additive inverse of −3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4

Answer key

  1. −1/2
  2. −7/6
  3. 31/45
  4. −1/3
  5. 5/8
  6. −8/7
  7. 7/6
  8. −3/5
  9. −1/9
  10. 67/72
  11. −3/5
  12. −5/9
  13. 3/5
  14. −2/3
  15. −7/9
  16. Positive
  17. −31/36
  18. −1/6
  19. Negative
  20. −7/8
  21. −38/35
  22. −4
  23. −7/24
  24. 7/18
  25. Positive
  26. 1/6
  27. −5/2
  28. −11/20
  29. −1/2
  30. −3/7
  31. −44/35
  32. 2/3
  33. −19/18
  34. 7/9
  35. 2/5
  36. −5/9
  37. −1/5
  38. −2/9
  39. −1/8
  40. 3/4

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