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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 792 · 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 (−5/9) − 5/9? (a) −5/9 (b) 0 (c) 10/9 (d) −10/9
  2. 2.What is the additive inverse of 2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  3. 3.Is −5/4 positive or negative? (a) Negative (b) Positive
  4. 4.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  5. 5.What is (−1/7) − 1/5? (a) −1/6 (b) 2/35 (c) −12/35 (d) 12/35
  6. 6.What is (−1/4) − 5/8? (a) 7/8 (b) −7/8 (c) −1/2 (d) 3/8
  7. 7.What is the additive inverse of 1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5
  8. 8.What is 5/8 − (−1/3)? (a) 6/11 (b) −23/24 (c) 7/24 (d) 23/24
  9. 9.What is (−1/7) − 3/5? (a) −1/3 (b) 16/35 (c) 26/35 (d) −26/35
  10. 10.What is the additive inverse of 5/8? (a) −8/5 (b) −5/8 (c) 8/5 (d) 5/8
  11. 11.What is 5/6 − (−3/8)? (a) 11/24 (b) −29/24 (c) 4/7 (d) 29/24
  12. 12.What is 1/4 − (−1/4)? (a) 1/4 (b) −1/2 (c) 1/2 (d) 0
  13. 13.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−5/8) + (−1/2)? (a) −3/5 (b) 9/8 (c) −1/8 (d) −9/8
  15. 15.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) 1/9 (c) −9/1 (d) −1/9
  16. 16.What is (−4/9) + 3/7? (a) −1/16 (b) −1/63 (c) 1/63 (d) −55/63
  17. 17.Write −6/36 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −6/36 (d) 1/6
  18. 18.What is 5/7 + (−6/7)? (a) 1/7 (b) 11/7 (c) −1/7 (d) −1/14
  19. 19.Is 2/8 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−8/9) − (−1/8)? (a) 55/72 (b) −55/72 (c) −7/17 (d) −73/72
  21. 21.Write −12/18 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −12/18
  22. 22.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  23. 23.What is (−2/9) − (−5/9)? (a) 1/6 (b) −7/9 (c) −1/3 (d) 1/3
  24. 24.Is 1/2 positive or negative? (a) Positive (b) Negative
  25. 25.Is 6/7 positive or negative? (a) Positive (b) Negative
  26. 26.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −15/27 (b) −5/9 (c) −9/5 (d) 5/9
  27. 27.What is the additive inverse of 3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  28. 28.What is (−3/4) + (−3/4)? (a) −3/2 (b) 3/2 (c) −3/4 (d) 0
  29. 29.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  31. 31.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −12/15 (d) −4/5
  32. 32.What is (−1/4) + (−5/7)? (a) 13/28 (b) −6/11 (c) 27/28 (d) −27/28
  33. 33.Write −3/21 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −3/21 (c) −1/7 (d) −7/1
  34. 34.Is 8/9 positive or negative? (a) Negative (b) Positive
  35. 35.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −10/18 (d) −5/9
  36. 36.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of −4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  38. 38.What is (−4/7) + (−3/8)? (a) −53/56 (b) 53/56 (c) −7/15 (d) −11/56
  39. 39.Which is bigger: −5/9 or −6/7? (a) −5/9 (b) −6/7
  40. 40.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3

Answer key

  1. −10/9
  2. −2/5
  3. Negative
  4. 9/5
  5. −12/35
  6. −7/8
  7. −1/5
  8. 23/24
  9. −26/35
  10. −5/8
  11. 29/24
  12. 1/2
  13. Negative
  14. −9/8
  15. −1/9
  16. −1/63
  17. −1/6
  18. −1/7
  19. Positive
  20. −55/72
  21. −2/3
  22. −5/7
  23. 1/3
  24. Positive
  25. Positive
  26. −5/9
  27. −3/5
  28. −3/2
  29. Negative
  30. −1/4
  31. −4/5
  32. −27/28
  33. −1/7
  34. Positive
  35. −5/9
  36. Positive
  37. 4/5
  38. −53/56
  39. −5/9
  40. 8/3

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