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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 323 · 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 reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  2. 2.Which is bigger: −1/3 or 7/8? (a) −1/3 (b) 7/8
  3. 3.What is 3/5 − (−3/5)? (a) 3/5 (b) 0 (c) −6/5 (d) 6/5
  4. 4.What is (−2/7) − 3/8? (a) 37/56 (b) −37/56 (c) 5/56 (d) −1/3
  5. 5.What is 3/8 − (−8/9)? (a) 11/17 (b) 91/72 (c) −91/72 (d) −37/72
  6. 6.Write −5/25 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −5/25 (c) 1/5 (d) −1/5
  7. 7.What is the additive inverse of 2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  8. 8.What is the additive inverse of −3/7? (a) 7/3 (b) 3/7 (c) −3/7 (d) −7/3
  9. 9.Which is bigger: −1/4 or −1/3? (a) −1/4 (b) −1/3
  10. 10.Which is smaller: −1/9 or 2/7? (a) −1/9 (b) 2/7
  11. 11.What is the additive inverse of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  12. 12.What is the additive inverse of 3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  13. 13.What is (−6/7) − 1/4? (a) −7/11 (b) −31/28 (c) −17/28 (d) 31/28
  14. 14.What is 4/9 − (−1/5)? (a) −29/45 (b) 5/14 (c) 11/45 (d) 29/45
  15. 15.What is (−1/2) + 1/3? (a) 1/6 (b) −5/6 (c) −1/6 (d) 0
  16. 16.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) −3/9 (d) 1/3
  17. 17.Which is bigger: −2/9 or −1/9? (a) −2/9 (b) −1/9
  18. 18.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −16/36 (c) −4/9 (d) −9/4
  19. 19.Which is bigger: −2/3 or −4/9? (a) −4/9 (b) −2/3
  20. 20.Is 9/2 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−5/8) − 1/7? (a) −2/5 (b) 43/56 (c) −43/56 (d) −27/56
  22. 22.Which is smaller: −3/5 or −8/9? (a) −3/5 (b) −8/9
  23. 23.Is −6/(−4) positive or negative? (a) Negative (b) Positive
  24. 24.Is −7/6 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−7/9) − 1/6? (a) −11/18 (b) 17/18 (c) −8/15 (d) −17/18
  26. 26.What is the additive inverse of 5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  27. 27.Write −10/14 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −10/14 (d) −7/5
  28. 28.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  29. 29.What is (−4/9) − 5/8? (a) 13/72 (b) −9/17 (c) 77/72 (d) −77/72
  30. 30.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −20/24 (b) 5/6 (c) −6/5 (d) −5/6
  31. 31.Which is bigger: −1/2 or −3/7? (a) −1/2 (b) −3/7
  32. 32.What is 4/5 − (−6/7)? (a) −58/35 (b) 58/35 (c) −2/35 (d) 5/6
  33. 33.What is (−2/7) + 3/8? (a) 1/15 (b) −5/56 (c) 5/56 (d) −37/56
  34. 34.What is the additive inverse of 1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  35. 35.Is 6/9 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−5/6) + 5/8? (a) −35/24 (b) 5/24 (c) 0 (d) −5/24
  37. 37.What is (−4/9) + 5/6? (a) 7/18 (b) −7/18 (c) 1/15 (d) −23/18
  38. 38.Which is bigger: −2/9 or −4/9? (a) −2/9 (b) −4/9
  39. 39.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −10/25 (b) 2/5 (c) −5/2 (d) −2/5
  40. 40.Which is smaller: −8/9 or 5/6? (a) 5/6 (b) −8/9

Answer key

  1. 9/7
  2. 7/8
  3. 6/5
  4. −37/56
  5. 91/72
  6. −1/5
  7. −2/7
  8. 3/7
  9. −1/4
  10. −1/9
  11. −2/3
  12. −3/5
  13. −31/28
  14. 29/45
  15. −1/6
  16. −1/3
  17. −1/9
  18. −4/9
  19. −4/9
  20. Positive
  21. −43/56
  22. −8/9
  23. Positive
  24. Negative
  25. −17/18
  26. −5/9
  27. −5/7
  28. 4/5
  29. −77/72
  30. −5/6
  31. −3/7
  32. 58/35
  33. 5/56
  34. −1/8
  35. Positive
  36. −5/24
  37. 7/18
  38. −2/9
  39. −2/5
  40. −8/9

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