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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 243 · 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: −7/9 or −2/3? (a) −7/9 (b) −2/3
  2. 2.Is 2/6 positive or negative? (a) Positive (b) Negative
  3. 3.What is the additive inverse of 1/5? (a) −5 (b) −1/5 (c) 1/5 (d) 5
  4. 4.Which is bigger: −2/7 or 7/9? (a) −2/7 (b) 7/9
  5. 5.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −2/12 (d) −1/6
  6. 6.What is 1/5 − (−1/6)? (a) 1/30 (b) −11/30 (c) 2/11 (d) 11/30
  7. 7.Is −7/3 positive or negative? (a) Positive (b) Negative
  8. 8.Is −1/2 positive or negative? (a) Positive (b) Negative
  9. 9.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) 5/6 (d) −20/24
  10. 10.What is (−5/8) + 7/9? (a) −101/72 (b) −11/72 (c) 2/17 (d) 11/72
  11. 11.Which is smaller: −1/5 or −5/6? (a) −5/6 (b) −1/5
  12. 12.Which is smaller: −4/9 or −7/9? (a) −7/9 (b) −4/9
  13. 13.Is −2/9 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−1/9) − (−1/9)? (a) −2/9 (b) 0
  15. 15.What is 1/6 + (−5/6)? (a) 1 (b) −1/3 (c) 2/3 (d) −2/3
  16. 16.Is 9/9 positive or negative? (a) Positive (b) Negative
  17. 17.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−4/9) − 4/5? (a) 16/45 (b) −56/45 (c) 56/45 (d) −4/7
  19. 19.What is (−2/3) + (−4/9)? (a) −10/9 (b) −2/9 (c) −1/2 (d) 10/9
  20. 20.Which is smaller: −5/7 or −2/9? (a) −2/9 (b) −5/7
  21. 21.What is the additive inverse of −4/7? (a) −4/7 (b) 7/4 (c) −7/4 (d) 4/7
  22. 22.What is the reciprocal (multiplicative inverse) of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  23. 23.Is 8/6 positive or negative? (a) Positive (b) Negative
  24. 24.What is the additive inverse of 1/7? (a) −7 (b) 1/7 (c) −1/7 (d) 7
  25. 25.Which is smaller: −4/7 or −2/9? (a) −2/9 (b) −4/7
  26. 26.What is 3/5 + (−5/9)? (a) 52/45 (b) −2/45 (c) −1/7 (d) 2/45
  27. 27.What is (−1/6) − 3/8? (a) 13/24 (b) −13/24 (c) −2/7 (d) 5/24
  28. 28.What is (−2/5) − (−5/6)? (a) −13/30 (b) 3/11 (c) −37/30 (d) 13/30
  29. 29.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  30. 30.Which is smaller: −1/6 or −1/8? (a) −1/6 (b) −1/8
  31. 31.Is −3/(−8) positive or negative? (a) Negative (b) Positive
  32. 32.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −4/12 (d) −1/3
  33. 33.Which is smaller: −5/7 or 1/7? (a) 1/7 (b) −5/7
  34. 34.Is −4/2 positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −3/7 or −2/7? (a) −3/7 (b) −2/7
  36. 36.What is the reciprocal (multiplicative inverse) of 5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  37. 37.What is (−2/3) + (−2/3)? (a) −2/3 (b) 0 (c) 4/3 (d) −4/3
  38. 38.Write −40/45 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −40/45 (c) −9/8 (d) −8/9
  39. 39.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −3/12 (d) 1/4
  40. 40.Is −1/9 positive or negative? (a) Positive (b) Negative

Answer key

  1. −7/9
  2. Positive
  3. −1/5
  4. 7/9
  5. −1/6
  6. 11/30
  7. Negative
  8. Negative
  9. −5/6
  10. 11/72
  11. −5/6
  12. −7/9
  13. Negative
  14. 0
  15. −2/3
  16. Positive
  17. Negative
  18. −56/45
  19. −10/9
  20. −5/7
  21. 4/7
  22. −8
  23. Positive
  24. −1/7
  25. −4/7
  26. 2/45
  27. −13/24
  28. 13/30
  29. 1/4
  30. −1/6
  31. Positive
  32. −1/3
  33. −5/7
  34. Negative
  35. −2/7
  36. 6/5
  37. −4/3
  38. −8/9
  39. −1/4
  40. Negative

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