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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 390 · 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.Which is smaller: −2/5 or −1/7? (a) −2/5 (b) −1/7
  2. 2.What is (−3/5) − (−2/5)? (a) −1 (b) −1/10 (c) 1/5 (d) −1/5
  3. 3.Which is smaller: −5/9 or −3/4? (a) −3/4 (b) −5/9
  4. 4.What is (−2/7) + (−1/3)? (a) 13/21 (b) 1/21 (c) −3/10 (d) −13/21
  5. 5.Which is smaller: −3/5 or 6/7? (a) 6/7 (b) −3/5
  6. 6.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −2/9 or −3/4? (a) −2/9 (b) −3/4
  8. 8.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −6/9 (c) 2/3 (d) −2/3
  9. 9.Which is smaller: −1/5 or 1/8? (a) −1/5 (b) 1/8
  10. 10.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) 1/8 (d) −5/40
  11. 11.Which is bigger: −2/3 or −5/9? (a) −2/3 (b) −5/9
  12. 12.Which is bigger: −1/4 or −1/7? (a) −1/7 (b) −1/4
  13. 13.Which is smaller: −4/5 or −7/9? (a) −4/5 (b) −7/9
  14. 14.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −15/27 (c) −5/9 (d) −9/5
  15. 15.What is 1/3 + (−5/7)? (a) −8/21 (b) −2/5 (c) 22/21 (d) 8/21
  16. 16.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) 8/7 (c) −7/8 (d) 7/8
  17. 17.What is (−4/7) + 1/9? (a) −43/63 (b) 29/63 (c) −29/63 (d) −3/16
  18. 18.What is (−5/6) − 5/9? (a) −5/18 (b) −25/18 (c) −2/3 (d) 25/18
  19. 19.Is −7/(−8) positive or negative? (a) Negative (b) Positive
  20. 20.Is −3/(−8) positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −2/3 or −8/9? (a) −2/3 (b) −8/9
  22. 22.Which is smaller: −7/8 or 3/5? (a) −7/8 (b) 3/5
  23. 23.What is the additive inverse of −3/8? (a) 8/3 (b) −3/8 (c) 3/8 (d) −8/3
  24. 24.Is 3/6 positive or negative? (a) Positive (b) Negative
  25. 25.What is the additive inverse of −3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  26. 26.What is 3/7 − (−1/9)? (a) 20/63 (b) 1/4 (c) 34/63 (d) −34/63
  27. 27.Which is bigger: −1/7 or −5/8? (a) −5/8 (b) −1/7
  28. 28.Which is bigger: −1/5 or −5/6? (a) −1/5 (b) −5/6
  29. 29.What is the additive inverse of 1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  30. 30.What is 1/4 + (−1/4)? (a) 1/2 (b) 0
  31. 31.Write −4/18 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) −4/18 (d) 2/9
  32. 32.What is the additive inverse of 3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  33. 33.What is (−1/9) − 1/4? (a) 13/36 (b) 5/36 (c) −2/13 (d) −13/36
  34. 34.Is 5/(−4) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−5/8) + 1/2? (a) 1/8 (b) −1/8 (c) −9/8 (d) −2/5
  36. 36.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −15/21 (d) −5/7
  37. 37.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  38. 38.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) 3/8 (c) 8/3 (d) −8/3
  39. 39.Is 9/7 positive or negative? (a) Negative (b) Positive
  40. 40.What is 1/9 + (−5/7)? (a) −1/4 (b) 52/63 (c) −38/63 (d) 38/63

Answer key

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

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