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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 711 · 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.Is −8/8 positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −4/7 or −2/3? (a) −2/3 (b) −4/7
  3. 3.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  4. 4.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) 7 (c) 1/7 (d) −1/7
  5. 5.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) −7/3 (c) −3/7 (d) 3/7
  6. 6.Which is smaller: −3/7 or −2/3? (a) −3/7 (b) −2/3
  7. 7.What is (−5/6) + (−2/9)? (a) −19/18 (b) −11/18 (c) −7/15 (d) 19/18
  8. 8.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −24/54 (c) −9/4 (d) 4/9
  10. 10.What is the additive inverse of −1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  11. 11.What is the additive inverse of 2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  12. 12.Which is smaller: −5/9 or −5/7? (a) −5/9 (b) −5/7
  13. 13.Write −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −30/48 (d) −8/5
  14. 14.What is (−1/4) + (−1/3)? (a) 1/12 (b) −7/12 (c) 7/12 (d) −2/7
  15. 15.What is (−1/5) − 1/9? (a) 14/45 (b) −4/45 (c) −1/7 (d) −14/45
  16. 16.Which is bigger: −5/9 or 2/7? (a) −5/9 (b) 2/7
  17. 17.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  18. 18.What is (−1/7) + 5/9? (a) 1/4 (b) 26/63 (c) −26/63 (d) −44/63
  19. 19.Which is bigger: −1/5 or −3/5? (a) −1/5 (b) −3/5
  20. 20.What is (−5/6) − (−8/9)? (a) −1/18 (b) 1/5 (c) 1/18 (d) −31/18
  21. 21.Is −6/7 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −1/2 or −5/9? (a) −5/9 (b) −1/2
  23. 23.What is (−4/7) − 1/4? (a) −5/11 (b) −9/28 (c) −23/28 (d) 23/28
  24. 24.What is (−7/8) + (−3/7)? (a) −2/3 (b) −25/56 (c) 73/56 (d) −73/56
  25. 25.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  26. 26.Is −8/9 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −4/5 or −1/7? (a) −4/5 (b) −1/7
  28. 28.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) 9/2 (c) −9/2 (d) −2/9
  30. 30.Is 5/6 positive or negative? (a) Negative (b) Positive
  31. 31.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −14/18 (d) −7/9
  32. 32.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −12/54 (c) 2/9 (d) −2/9
  33. 33.What is the additive inverse of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  34. 34.Which is bigger: −2/7 or −5/9? (a) −2/7 (b) −5/9
  35. 35.Write −20/28 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) 5/7 (d) −20/28
  36. 36.What is 4/7 − (−3/7)? (a) 1/2 (b) 1 (c) 1/7 (d) −1
  37. 37.Which is bigger: −2/5 or 3/5? (a) 3/5 (b) −2/5
  38. 38.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  39. 39.Is −9/8 positive or negative? (a) Negative (b) Positive
  40. 40.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) −6/5 (c) 6/5 (d) −5/6

Answer key

  1. Negative
  2. −4/7
  3. Positive
  4. 7
  5. −3/7
  6. −2/3
  7. −19/18
  8. Negative
  9. −4/9
  10. 1/5
  11. −2/5
  12. −5/7
  13. −5/8
  14. −7/12
  15. −14/45
  16. 2/7
  17. 5/2
  18. 26/63
  19. −1/5
  20. 1/18
  21. Negative
  22. −5/9
  23. −23/28
  24. −73/56
  25. Negative
  26. Negative
  27. −4/5
  28. Positive
  29. 9/2
  30. Positive
  31. −7/9
  32. −2/9
  33. −1/7
  34. −2/7
  35. −5/7
  36. 1
  37. 3/5
  38. 3/5
  39. Negative
  40. 6/5

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