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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 152 · 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.What is the additive inverse of 8/9? (a) −9/8 (b) −8/9 (c) 9/8 (d) 8/9
  2. 2.What is 5/7 − (−6/7)? (a) −1/7 (b) 11/14 (c) −11/7 (d) 11/7
  3. 3.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −6/9 (d) −2/3
  4. 4.Which is smaller: −3/5 or −4/5? (a) −4/5 (b) −3/5
  5. 5.What is 1/5 − (−2/3)? (a) −13/15 (b) 3/8 (c) −7/15 (d) 13/15
  6. 6.Is −2/2 positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −5/9 or −1/5? (a) −5/9 (b) −1/5
  8. 8.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −10/18
  9. 9.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −15/18 (d) −5/6
  10. 10.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  11. 11.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −4/10
  12. 12.Write −12/15 in standard form (lowest terms, positive denominator). (a) −12/15 (b) 4/5 (c) −4/5 (d) −5/4
  13. 13.Which is bigger: −8/9 or −2/9? (a) −8/9 (b) −2/9
  14. 14.Which is bigger: −5/9 or 5/8? (a) −5/9 (b) 5/8
  15. 15.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  16. 16.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −8/5 (d) −25/40
  17. 17.What is the additive inverse of 1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  18. 18.What is (−1/4) + 4/5? (a) −21/20 (b) 11/20 (c) −11/20 (d) 1/3
  19. 19.Which is bigger: −1/7 or −3/4? (a) −3/4 (b) −1/7
  20. 20.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  21. 21.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  22. 22.Which is smaller: −2/7 or −1/5? (a) −1/5 (b) −2/7
  23. 23.Which is smaller: −3/4 or −1/8? (a) −3/4 (b) −1/8
  24. 24.Which is smaller: −4/9 or −1/2? (a) −1/2 (b) −4/9
  25. 25.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −4/24
  26. 26.Is 1/(−6) positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −7/8 or −4/7? (a) −4/7 (b) −7/8
  28. 28.Write −20/25 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) 4/5 (d) −20/25
  29. 29.What is the additive inverse of 1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  30. 30.Is −9/(−3) positive or negative? (a) Positive (b) Negative
  31. 31.What is (−5/6) − (−1/6)? (a) 2/3 (b) −1/3 (c) −2/3 (d) −1
  32. 32.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  33. 33.Is 1/3 positive or negative? (a) Negative (b) Positive
  34. 34.Which is bigger: −5/9 or 1/4? (a) −5/9 (b) 1/4
  35. 35.Is 3/9 positive or negative? (a) Negative (b) Positive
  36. 36.What is the additive inverse of −4/9? (a) −4/9 (b) −9/4 (c) 4/9 (d) 9/4
  37. 37.Is −9/8 positive or negative? (a) Negative (b) Positive
  38. 38.Which is bigger: −1/3 or −3/4? (a) −3/4 (b) −1/3
  39. 39.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  40. 40.What is (−7/8) + (−3/5)? (a) −59/40 (b) −11/40 (c) −10/13 (d) 59/40

Answer key

  1. −8/9
  2. 11/7
  3. −2/3
  4. −4/5
  5. 13/15
  6. Negative
  7. −1/5
  8. −5/9
  9. −5/6
  10. −5/9
  11. −2/5
  12. −4/5
  13. −2/9
  14. 5/8
  15. −6/5
  16. −5/8
  17. −1/2
  18. 11/20
  19. −1/7
  20. 7/6
  21. Positive
  22. −2/7
  23. −3/4
  24. −1/2
  25. −1/6
  26. Negative
  27. −4/7
  28. −4/5
  29. −1/9
  30. Positive
  31. −2/3
  32. −7/5
  33. Positive
  34. 1/4
  35. Positive
  36. 4/9
  37. Negative
  38. −1/3
  39. Negative
  40. −59/40

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