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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 533 · 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 −5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  2. 2.Which is bigger: −2/3 or −3/4? (a) −3/4 (b) −2/3
  3. 3.What is 5/8 − (−1/2)? (a) 3/5 (b) 1/8 (c) −9/8 (d) 9/8
  4. 4.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  5. 5.Is −7/8 positive or negative? (a) Negative (b) Positive
  6. 6.What is the additive inverse of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  7. 7.Write −12/18 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −12/18 (c) −3/2 (d) −2/3
  8. 8.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  9. 9.Which is bigger: −1/5 or −4/7? (a) −1/5 (b) −4/7
  10. 10.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) −3/5 (c) 3/5 (d) −5/3
  11. 11.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  12. 12.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) 8/9 (d) −16/18
  13. 13.What is the additive inverse of 4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  14. 14.Write −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −6/27 (c) 2/9 (d) −2/9
  15. 15.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  16. 16.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  17. 17.What is the additive inverse of 1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  18. 18.What is (−3/4) + (−1/5)? (a) −11/20 (b) −19/20 (c) 19/20 (d) −4/9
  19. 19.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −4/7 (c) 4/7 (d) −7/4
  20. 20.What is 5/8 + (−2/3)? (a) 1/24 (b) 3/11 (c) 31/24 (d) −1/24
  21. 21.Which is bigger: −5/9 or −1/9? (a) −5/9 (b) −1/9
  22. 22.Which is bigger: −1/2 or −3/7? (a) −1/2 (b) −3/7
  23. 23.What is (−4/5) + 5/6? (a) −1/30 (b) 1/11 (c) 1/30 (d) −49/30
  24. 24.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) −2/1 (c) −1/2 (d) 1/2
  25. 25.What is (−1/3) + 2/5? (a) 1/15 (b) −11/15 (c) 1/8 (d) −1/15
  26. 26.Which is bigger: −8/9 or −1/9? (a) −8/9 (b) −1/9
  27. 27.What is 3/4 + (−1/6)? (a) 1/5 (b) −7/12 (c) 11/12 (d) 7/12
  28. 28.What is (−4/9) − 5/8? (a) 77/72 (b) −77/72 (c) −9/17 (d) 13/72
  29. 29.What is 3/8 + (−5/7)? (a) −19/56 (b) −2/15 (c) 61/56 (d) 19/56
  30. 30.Which is bigger: −5/9 or 1/6? (a) 1/6 (b) −5/9
  31. 31.Which is smaller: −5/6 or −8/9? (a) −5/6 (b) −8/9
  32. 32.What is (−2/7) + (−1/2)? (a) −1/3 (b) −11/14 (c) 11/14 (d) 3/14
  33. 33.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −15/24 (d) −8/5
  34. 34.What is the additive inverse of −2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  35. 35.What is (−1/4) + 2/7? (a) −1/28 (b) 1/11 (c) −15/28 (d) 1/28
  36. 36.What is (−1/9) + 5/9? (a) 4/9 (b) 2/9 (c) −4/9 (d) −2/3
  37. 37.What is (−2/3) + (−4/5)? (a) −3/4 (b) −22/15 (c) 22/15 (d) 2/15
  38. 38.Is −2/9 positive or negative? (a) Negative (b) Positive
  39. 39.Is −7/7 positive or negative? (a) Positive (b) Negative
  40. 40.Is 3/3 positive or negative? (a) Negative (b) Positive

Answer key

  1. 5/6
  2. −2/3
  3. 9/8
  4. −8/3
  5. Negative
  6. −1/8
  7. −2/3
  8. 8/7
  9. −1/5
  10. −3/5
  11. −4/3
  12. −8/9
  13. −4/7
  14. −2/9
  15. Positive
  16. 5/4
  17. −1/3
  18. −19/20
  19. 7/4
  20. −1/24
  21. −1/9
  22. −3/7
  23. 1/30
  24. −1/2
  25. 1/15
  26. −1/9
  27. 7/12
  28. −77/72
  29. −19/56
  30. 1/6
  31. −8/9
  32. −11/14
  33. −5/8
  34. 2/9
  35. 1/28
  36. 4/9
  37. −22/15
  38. Negative
  39. Negative
  40. Positive

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