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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 852 · 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 bigger: −1/5 or −5/8? (a) −1/5 (b) −5/8
  2. 2.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) 1/6 (c) −1/6 (d) −6
  3. 3.What is 1/6 − (−1/7)? (a) 13/42 (b) −13/42 (c) 2/13 (d) 1/42
  4. 4.Which is smaller: −1/2 or −5/9? (a) −5/9 (b) −1/2
  5. 5.What is the additive inverse of 3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  6. 6.Which is smaller: −1/6 or −3/5? (a) −3/5 (b) −1/6
  7. 7.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  8. 8.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  9. 9.What is 7/9 − (−7/8)? (a) 14/17 (b) −7/72 (c) 119/72 (d) −119/72
  10. 10.Which is bigger: −1/7 or −3/8? (a) −3/8 (b) −1/7
  11. 11.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  12. 12.Is −3/6 positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of −2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  14. 14.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) −1/9 (c) 9 (d) −9
  16. 16.Is 5/(−5) positive or negative? (a) Positive (b) Negative
  17. 17.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/6) + 5/9? (a) −13/18 (b) 4/15 (c) 7/18 (d) −7/18
  19. 19.What is (−2/7) + 1/2? (a) 3/14 (b) −3/14 (c) −1/9 (d) −11/14
  20. 20.What is (−3/8) + (−1/5)? (a) −7/40 (b) −4/13 (c) 23/40 (d) −23/40
  21. 21.What is (−1/3) − (−1/4)? (a) −1/12 (b) 0 (c) 1/12 (d) −7/12
  22. 22.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −16/18 (d) −8/9
  23. 23.What is the additive inverse of −3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  24. 24.Is 3/7 positive or negative? (a) Negative (b) Positive
  25. 25.What is 5/7 + (−1/2)? (a) 3/14 (b) 17/14 (c) −3/14 (d) 4/9
  26. 26.What is (−1/6) + (−7/9)? (a) 17/18 (b) −8/15 (c) −17/18 (d) 11/18
  27. 27.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −2/16 (c) 1/8 (d) −1/8
  28. 28.What is 1/6 − (−7/8)? (a) 25/24 (b) −25/24 (c) 4/7 (d) −17/24
  29. 29.What is (−1/3) + 3/8? (a) −17/24 (b) 2/11 (c) 1/24 (d) −1/24
  30. 30.Is −2/5 positive or negative? (a) Positive (b) Negative
  31. 31.What is 4/9 + (−5/9)? (a) 1 (b) 1/9 (c) −1/9 (d) −1/18
  32. 32.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  33. 33.What is 5/8 + (−1/8)? (a) 1/4 (b) 1/2 (c) −1/2 (d) 3/4
  34. 34.What is (−1/9) + 1/9? (a) 0 (b) −2/9
  35. 35.Which is bigger: −3/5 or −2/9? (a) −3/5 (b) −2/9
  36. 36.What is 3/7 + (−1/2)? (a) 13/14 (b) 2/9 (c) 1/14 (d) −1/14
  37. 37.Which is bigger: −3/7 or −4/9? (a) −4/9 (b) −3/7
  38. 38.What is the additive inverse of 1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  39. 39.Which is smaller: −4/5 or −2/5? (a) −2/5 (b) −4/5
  40. 40.What is (−3/4) + (−2/3)? (a) 17/12 (b) −1/12 (c) −5/7 (d) −17/12

Answer key

  1. −1/5
  2. 6
  3. 13/42
  4. −5/9
  5. −3/4
  6. −3/5
  7. 9/4
  8. 9/5
  9. 119/72
  10. −1/7
  11. 3/8
  12. Negative
  13. 2/5
  14. Negative
  15. −9
  16. Negative
  17. Positive
  18. 7/18
  19. 3/14
  20. −23/40
  21. −1/12
  22. −8/9
  23. 3/7
  24. Positive
  25. 3/14
  26. −17/18
  27. −1/8
  28. 25/24
  29. 1/24
  30. Negative
  31. −1/9
  32. Negative
  33. 1/2
  34. 0
  35. −2/9
  36. −1/14
  37. −3/7
  38. −1/9
  39. −4/5
  40. −17/12

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