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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 44 · 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 (−6/7) − (−5/6)? (a) −1/42 (b) −71/42 (c) −1/13 (d) 1/42
  2. 2.What is the additive inverse of −5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  3. 3.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  4. 4.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 5 (c) −5 (d) 1/5
  5. 5.Which is bigger: −5/9 or 7/8? (a) 7/8 (b) −5/9
  6. 6.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  7. 7.What is (−1/3) + 2/5? (a) 1/8 (b) −1/15 (c) 1/15 (d) −11/15
  8. 8.What is the additive inverse of −1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  9. 9.What is 3/4 + (−8/9)? (a) −5/36 (b) 5/36 (c) −5/13 (d) 59/36
  10. 10.What is the additive inverse of −3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  11. 11.Which is smaller: −2/3 or 1/7? (a) −2/3 (b) 1/7
  12. 12.What is 6/7 − (−1/4)? (a) 7/11 (b) 17/28 (c) −31/28 (d) 31/28
  13. 13.What is (−2/3) + 7/9? (a) −1/9 (b) −13/9 (c) 1/9 (d) 5/12
  14. 14.What is the additive inverse of 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  15. 15.What is 6/7 + (−1/6)? (a) 29/42 (b) 5/13 (c) −29/42 (d) 43/42
  16. 16.Write −4/20 in standard form (lowest terms, positive denominator). (a) −4/20 (b) −5/1 (c) −1/5 (d) 1/5
  17. 17.What is the additive inverse of −1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  18. 18.Write −3/12 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −3/12 (d) −1/4
  19. 19.Is 9/9 positive or negative? (a) Positive (b) Negative
  20. 20.What is 7/9 − (−3/4)? (a) 1/36 (b) 10/13 (c) −55/36 (d) 55/36
  21. 21.What is (−2/3) + (−5/8)? (a) 31/24 (b) −7/11 (c) −1/24 (d) −31/24
  22. 22.What is the additive inverse of 3/5? (a) 5/3 (b) −5/3 (c) −3/5 (d) 3/5
  23. 23.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) −18/48 (d) 3/8
  24. 24.Which is smaller: −3/4 or 3/8? (a) −3/4 (b) 3/8
  25. 25.Which is bigger: −3/5 or −2/3? (a) −3/5 (b) −2/3
  26. 26.What is 1/4 − (−2/7)? (a) −1/28 (b) 15/28 (c) 3/11 (d) −15/28
  27. 27.Which is bigger: −4/9 or −1/3? (a) −4/9 (b) −1/3
  28. 28.What is (−1/8) − (−3/7)? (a) −17/56 (b) −31/56 (c) 17/56 (d) 2/15
  29. 29.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  30. 30.What is (−6/7) − 1/3? (a) 25/21 (b) −7/10 (c) −11/21 (d) −25/21
  31. 31.Is 7/3 positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −1/3 or −7/8? (a) −1/3 (b) −7/8
  33. 33.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  34. 34.What is (−1/3) + (−2/9)? (a) −5/9 (b) −1/9 (c) 5/9 (d) −1/4
  35. 35.What is (−1/2) − 1/6? (a) −1/4 (b) −2/3 (c) −1/3 (d) 2/3
  36. 36.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −10/14 (d) −5/7
  37. 37.What is (−3/7) − 8/9? (a) 29/63 (b) −83/63 (c) 83/63 (d) −11/16
  38. 38.What is 7/8 − (−5/8)? (a) −3/2 (b) 3/4 (c) 1/4 (d) 3/2
  39. 39.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  40. 40.What is 4/5 + (−4/7)? (a) −8/35 (b) 48/35 (c) 8/35 (d) 0

Answer key

  1. −1/42
  2. 5/9
  3. 5/3
  4. 5
  5. 7/8
  6. Positive
  7. 1/15
  8. 1/5
  9. −5/36
  10. 3/7
  11. −2/3
  12. 31/28
  13. 1/9
  14. −2/5
  15. 29/42
  16. −1/5
  17. 1/6
  18. −1/4
  19. Positive
  20. 55/36
  21. −31/24
  22. −3/5
  23. −3/8
  24. −3/4
  25. −3/5
  26. 15/28
  27. −1/3
  28. 17/56
  29. Negative
  30. −25/21
  31. Positive
  32. −1/3
  33. Negative
  34. −5/9
  35. −2/3
  36. −5/7
  37. −83/63
  38. 3/2
  39. −7/5
  40. 8/35

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