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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 194 · 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 1/8 positive or negative? (a) Positive (b) Negative
  2. 2.Write −8/12 in standard form (lowest terms, positive denominator). (a) −8/12 (b) −3/2 (c) −2/3 (d) 2/3
  3. 3.Which is bigger: −5/6 or −3/5? (a) −3/5 (b) −5/6
  4. 4.Which is bigger: −1/8 or 4/5? (a) −1/8 (b) 4/5
  5. 5.What is (−5/6) + 1/8? (a) 17/24 (b) −23/24 (c) −2/7 (d) −17/24
  6. 6.Is −4/6 positive or negative? (a) Negative (b) Positive
  7. 7.Is −2/5 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−1/8) − 1/4? (a) −3/8 (b) −1/6 (c) 3/8 (d) 1/8
  9. 9.What is 5/8 + (−4/5)? (a) 7/40 (b) 1/13 (c) −7/40 (d) 57/40
  10. 10.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) 1/5 (c) −1/5 (d) −5/1
  11. 11.Write −24/27 in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −9/8 (d) −24/27
  12. 12.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  13. 13.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) −5/3 (c) −3/5 (d) 3/5
  14. 14.Write −6/42 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −7/1 (d) −6/42
  15. 15.Which is smaller: −1/7 or −2/9? (a) −2/9 (b) −1/7
  16. 16.Is 3/4 positive or negative? (a) Negative (b) Positive
  17. 17.What is 6/7 + (−6/7)? (a) 12/7 (b) 0
  18. 18.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −7/3 (d) −18/42
  19. 19.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  20. 20.What is (−4/9) − 1/9? (a) −1/3 (b) −5/18 (c) −5/9 (d) 5/9
  21. 21.Which is bigger: −1/7 or −7/9? (a) −7/9 (b) −1/7
  22. 22.Is −7/7 positive or negative? (a) Negative (b) Positive
  23. 23.Is 5/5 positive or negative? (a) Negative (b) Positive
  24. 24.What is the additive inverse of 4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  25. 25.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −12/20 (c) −5/3 (d) −3/5
  26. 26.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  27. 27.Is −7/(−7) positive or negative? (a) Negative (b) Positive
  28. 28.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −20/24 (d) −6/5
  29. 29.What is 2/9 − (−4/9)? (a) −2/3 (b) 2/3 (c) 1/3 (d) −2/9
  30. 30.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −7/5 (c) −5/7 (d) 5/7
  31. 31.What is (−1/2) + 2/9? (a) 1/11 (b) −5/18 (c) −13/18 (d) 5/18
  32. 32.What is (−2/3) + 1/7? (a) −17/21 (b) −11/21 (c) 11/21 (d) −1/10
  33. 33.Which is smaller: −4/7 or 2/5? (a) 2/5 (b) −4/7
  34. 34.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) −4/5 (c) 4/5 (d) −5/4
  35. 35.What is the additive inverse of −7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  36. 36.Which is smaller: −8/9 or −5/7? (a) −5/7 (b) −8/9
  37. 37.What is (−4/9) − (−5/9)? (a) −1/9 (b) 1/18 (c) −1 (d) 1/9
  38. 38.What is the additive inverse of −4/9? (a) 9/4 (b) 4/9 (c) −4/9 (d) −9/4
  39. 39.Which is bigger: −1/5 or −7/9? (a) −1/5 (b) −7/9
  40. 40.Is 9/(−7) positive or negative? (a) Positive (b) Negative

Answer key

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

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