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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 502 · 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.Write −15/18 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −15/18 (c) −5/6 (d) −6/5
  2. 2.What is the additive inverse of −7/8? (a) −7/8 (b) −8/7 (c) 7/8 (d) 8/7
  3. 3.Which is smaller: −2/3 or −4/5? (a) −2/3 (b) −4/5
  4. 4.What is 1/6 − (−4/7)? (a) −17/42 (b) −31/42 (c) 5/13 (d) 31/42
  5. 5.Is −2/9 positive or negative? (a) Positive (b) Negative
  6. 6.Which is bigger: −2/9 or −1/5? (a) −2/9 (b) −1/5
  7. 7.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −1/3 (d) −3/1
  8. 8.What is the additive inverse of −5/8? (a) −8/5 (b) −5/8 (c) 8/5 (d) 5/8
  9. 9.What is 1/5 − (−7/8)? (a) −27/40 (b) 8/13 (c) 43/40 (d) −43/40
  10. 10.Which is smaller: −4/9 or −3/8? (a) −3/8 (b) −4/9
  11. 11.What is (−1/3) + (−7/8)? (a) −8/11 (b) 29/24 (c) 13/24 (d) −29/24
  12. 12.What is the additive inverse of 2/7? (a) −2/7 (b) 2/7 (c) −7/2 (d) 7/2
  13. 13.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−7/9) − 7/8? (a) −14/17 (b) 119/72 (c) −119/72 (d) 7/72
  15. 15.Is 2/5 positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  17. 17.What is (−2/7) + (−6/7)? (a) 8/7 (b) −8/7 (c) 4/7 (d) −4/7
  18. 18.Which is smaller: −1/3 or −1/2? (a) −1/2 (b) −1/3
  19. 19.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) 7/8 (d) −14/16
  20. 20.What is (−7/9) − (−2/9)? (a) −5/9 (b) 5/9 (c) −1 (d) −5/18
  21. 21.Is −1/(−2) positive or negative? (a) Positive (b) Negative
  22. 22.Is −8/4 positive or negative? (a) Positive (b) Negative
  23. 23.Is −8/2 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−2/7) + (−3/4)? (a) −29/28 (b) −5/11 (c) 13/28 (d) 29/28
  25. 25.Is −2/4 positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/5) − (−5/9)? (a) 2/7 (b) −34/45 (c) −16/45 (d) 16/45
  27. 27.Is −9/5 positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −1/9 or −1/5? (a) −1/9 (b) −1/5
  29. 29.Is 9/(−8) positive or negative? (a) Negative (b) Positive
  30. 30.Is −5/7 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−5/7) + 3/4? (a) −2/11 (b) −1/28 (c) −41/28 (d) 1/28
  32. 32.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  33. 33.Is −6/(−2) positive or negative? (a) Negative (b) Positive
  34. 34.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −5/30 (c) −6/1 (d) 1/6
  35. 35.Is 6/9 positive or negative? (a) Negative (b) Positive
  36. 36.Is −1/5 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−8/9) − 5/8? (a) −13/17 (b) 109/72 (c) −109/72 (d) −19/72
  38. 38.Write −6/48 in standard form (lowest terms, positive denominator). (a) −6/48 (b) −8/1 (c) 1/8 (d) −1/8
  39. 39.Which is smaller: −6/7 or 7/9? (a) 7/9 (b) −6/7
  40. 40.Write −6/30 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −6/30 (c) 1/5 (d) −5/1

Answer key

  1. −5/6
  2. 7/8
  3. −4/5
  4. 31/42
  5. Negative
  6. −1/5
  7. −1/3
  8. 5/8
  9. 43/40
  10. −4/9
  11. −29/24
  12. −2/7
  13. Negative
  14. −119/72
  15. Positive
  16. −5/2
  17. −8/7
  18. −1/2
  19. −7/8
  20. −5/9
  21. Positive
  22. Negative
  23. Negative
  24. −29/28
  25. Negative
  26. 16/45
  27. Negative
  28. −1/9
  29. Negative
  30. Negative
  31. 1/28
  32. 9/8
  33. Positive
  34. −1/6
  35. Positive
  36. Negative
  37. −109/72
  38. −1/8
  39. −6/7
  40. −1/5

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