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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 507 · 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 reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  2. 2.What is the additive inverse of 2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  3. 3.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  4. 4.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −25/30
  5. 5.What is (−2/3) + 4/7? (a) −2/21 (b) 2/21 (c) −26/21 (d) 1/5
  6. 6.What is the additive inverse of −2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  7. 7.Which is smaller: −1/4 or 5/8? (a) 5/8 (b) −1/4
  8. 8.Which is bigger: −3/8 or 2/7? (a) 2/7 (b) −3/8
  9. 9.Is 5/7 positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of −5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  11. 11.What is 1/5 + (−1/2)? (a) 7/10 (b) 0 (c) −3/10 (d) 3/10
  12. 12.What is 2/7 − (−1/3)? (a) −13/21 (b) 13/21 (c) 3/10 (d) −1/21
  13. 13.Which is bigger: −1/3 or −3/5? (a) −3/5 (b) −1/3
  14. 14.Which is bigger: −5/6 or −8/9? (a) −5/6 (b) −8/9
  15. 15.Is −1/5 positive or negative? (a) Negative (b) Positive
  16. 16.Which is bigger: −1/4 or 2/5? (a) −1/4 (b) 2/5
  17. 17.What is 3/7 − (−7/8)? (a) 73/56 (b) −73/56 (c) 2/3 (d) −25/56
  18. 18.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/4) + (−8/9)? (a) 23/36 (b) −41/36 (c) 41/36 (d) −9/13
  20. 20.Which is smaller: −4/9 or −5/9? (a) −5/9 (b) −4/9
  21. 21.What is (−1/8) + 1/4? (a) 0 (b) −1/8 (c) 1/8 (d) −3/8
  22. 22.What is 1/7 + (−4/7)? (a) −3/7 (b) −3/14 (c) 5/7 (d) 3/7
  23. 23.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) −5/8 (c) 5/8 (d) −8/5
  24. 24.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −9/15 (c) 3/5 (d) −3/5
  25. 25.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) −24/54 (d) 4/9
  26. 26.Is −7/8 positive or negative? (a) Negative (b) Positive
  27. 27.Write −2/14 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −1/7 (d) −2/14
  28. 28.Which is bigger: −3/5 or 4/5? (a) 4/5 (b) −3/5
  29. 29.What is (−1/5) + 1/4? (a) 1/20 (b) −1/20 (c) −9/20 (d) 0
  30. 30.Which is bigger: −1/6 or −4/5? (a) −1/6 (b) −4/5
  31. 31.What is (−2/5) − (−1/4)? (a) 3/20 (b) −1/9 (c) −3/20 (d) −13/20
  32. 32.What is (−2/7) + (−3/7)? (a) 1/7 (b) −5/7 (c) −5/14 (d) 5/7
  33. 33.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) −12/32 (d) 3/8
  34. 34.What is 7/8 − (−8/9)? (a) −127/72 (b) 127/72 (c) −1/72 (d) 15/17
  35. 35.What is (−3/5) + (−5/9)? (a) −52/45 (b) −2/45 (c) 52/45 (d) −4/7
  36. 36.What is the additive inverse of 3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  37. 37.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) 8/9 (c) −9/8 (d) −8/9
  38. 38.Is 8/2 positive or negative? (a) Negative (b) Positive
  39. 39.Is −4/3 positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −7/8 or −3/7? (a) −7/8 (b) −3/7

Answer key

  1. −4
  2. −2/5
  3. Positive
  4. −5/6
  5. −2/21
  6. 2/5
  7. −1/4
  8. 2/7
  9. Positive
  10. 5/7
  11. −3/10
  12. 13/21
  13. −1/3
  14. −5/6
  15. Negative
  16. 2/5
  17. 73/56
  18. Negative
  19. −41/36
  20. −5/9
  21. 1/8
  22. −3/7
  23. −5/8
  24. −3/5
  25. −4/9
  26. Negative
  27. −1/7
  28. 4/5
  29. 1/20
  30. −1/6
  31. −3/20
  32. −5/7
  33. −3/8
  34. 127/72
  35. −52/45
  36. −3/7
  37. 9/8
  38. Positive
  39. Negative
  40. −3/7

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