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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 898 · 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 (−1/9) + (−3/8)? (a) −35/72 (b) 35/72 (c) −4/17 (d) 19/72
  2. 2.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −12/32 (c) −3/8 (d) 3/8
  3. 3.What is the additive inverse of −5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  4. 4.Which is smaller: −7/9 or −5/9? (a) −5/9 (b) −7/9
  5. 5.Is 6/7 positive or negative? (a) Positive (b) Negative
  6. 6.Is −3/5 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−1/6) − (−3/8)? (a) 5/24 (b) 1/7 (c) −13/24 (d) −5/24
  8. 8.What is 3/4 − (−1/4)? (a) 1/2 (b) −1 (c) 1
  9. 9.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −1/9 or −3/5? (a) −1/9 (b) −3/5
  11. 11.What is (−7/8) − 1/8? (a) −1/2 (b) −1 (c) −3/4 (d) 1
  12. 12.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  13. 13.Which is smaller: −2/3 or −1/5? (a) −1/5 (b) −2/3
  14. 14.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of −3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  16. 16.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −9/12
  17. 17.Is 7/2 positive or negative? (a) Negative (b) Positive
  18. 18.Which is bigger: −2/9 or −3/4? (a) −3/4 (b) −2/9
  19. 19.Which is bigger: −3/5 or −5/7? (a) −3/5 (b) −5/7
  20. 20.Write −8/28 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −8/28 (c) 2/7 (d) −2/7
  21. 21.What is the additive inverse of −1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  22. 22.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 7/6 (c) 6/7 (d) −7/6
  23. 23.Which is smaller: −3/4 or −3/7? (a) −3/7 (b) −3/4
  24. 24.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −8/5 (d) −25/40
  25. 25.Which is bigger: −1/2 or −2/5? (a) −1/2 (b) −2/5
  26. 26.What is (−5/8) − (−7/8)? (a) 1/8 (b) −1/4 (c) −3/2 (d) 1/4
  27. 27.Is 2/(−6) positive or negative? (a) Positive (b) Negative
  28. 28.What is 1/6 − (−4/7)? (a) 31/42 (b) −31/42 (c) −17/42 (d) 5/13
  29. 29.Which is smaller: −1/6 or 1/4? (a) −1/6 (b) 1/4
  30. 30.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  31. 31.What is (−1/9) − 5/7? (a) 52/63 (b) −3/8 (c) 38/63 (d) −52/63
  32. 32.Which is smaller: −1/8 or 4/7? (a) 4/7 (b) −1/8
  33. 33.What is 5/6 + (−5/6)? (a) 5/3 (b) 0
  34. 34.What is the additive inverse of 2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  35. 35.What is (−4/7) − (−8/9)? (a) −20/63 (b) 1/4 (c) 20/63 (d) −92/63
  36. 36.Is 9/(−8) positive or negative? (a) Negative (b) Positive
  37. 37.Is −5/6 positive or negative? (a) Positive (b) Negative
  38. 38.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −3/24 (c) −1/8 (d) −8/1
  39. 39.What is (−1/7) − 7/9? (a) 58/63 (b) 40/63 (c) −58/63 (d) −1/2
  40. 40.What is (−8/9) − 5/8? (a) 109/72 (b) −13/17 (c) −109/72 (d) −19/72

Answer key

  1. −35/72
  2. −3/8
  3. 5/8
  4. −7/9
  5. Positive
  6. Negative
  7. 5/24
  8. 1
  9. Negative
  10. −3/5
  11. −1
  12. 7/2
  13. −2/3
  14. Positive
  15. 3/4
  16. −3/4
  17. Positive
  18. −2/9
  19. −3/5
  20. −2/7
  21. 1/3
  22. 7/6
  23. −3/4
  24. −5/8
  25. −2/5
  26. 1/4
  27. Negative
  28. 31/42
  29. −1/6
  30. 3/2
  31. −52/63
  32. −1/8
  33. 0
  34. −2/9
  35. 20/63
  36. Negative
  37. Negative
  38. −1/8
  39. −58/63
  40. −109/72

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