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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 675 · 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 −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  2. 2.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  3. 3.What is 1/2 + (−5/9)? (a) 19/18 (b) 1/18 (c) −4/11 (d) −1/18
  4. 4.What is (−1/3) − 7/8? (a) −8/11 (b) 29/24 (c) 13/24 (d) −29/24
  5. 5.What is (−6/7) + (−3/5)? (a) −51/35 (b) 51/35 (c) −3/4 (d) −9/35
  6. 6.What is (−2/5) − 3/7? (a) 1/35 (b) 29/35 (c) −5/12 (d) −29/35
  7. 7.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −48/54 (b) 8/9 (c) −9/8 (d) −8/9
  8. 8.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  9. 9.What is the additive inverse of −1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  10. 10.Write −8/14 in standard form (lowest terms, positive denominator). (a) −8/14 (b) 4/7 (c) −4/7 (d) −7/4
  11. 11.Write −5/45 in standard form (lowest terms, positive denominator). (a) −5/45 (b) 1/9 (c) −9/1 (d) −1/9
  12. 12.What is the additive inverse of −2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  13. 13.What is (−2/7) + 1/4? (a) −1/11 (b) −1/28 (c) −15/28 (d) 1/28
  14. 14.What is (−4/7) + 1/6? (a) −3/13 (b) −31/42 (c) −17/42 (d) 17/42
  15. 15.Is −1/8 positive or negative? (a) Negative (b) Positive
  16. 16.Which is bigger: −1/7 or 1/9? (a) −1/7 (b) 1/9
  17. 17.Which is smaller: −4/7 or 5/6? (a) 5/6 (b) −4/7
  18. 18.What is the additive inverse of −1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  19. 19.Which is bigger: −1/5 or −2/9? (a) −2/9 (b) −1/5
  20. 20.What is (−3/4) + 5/9? (a) −47/36 (b) 7/36 (c) 2/13 (d) −7/36
  21. 21.Which is bigger: −1/7 or −1/8? (a) −1/8 (b) −1/7
  22. 22.Which is smaller: −2/3 or −1/3? (a) −2/3 (b) −1/3
  23. 23.Is −9/(−8) positive or negative? (a) Negative (b) Positive
  24. 24.Which is smaller: −7/9 or −1/8? (a) −1/8 (b) −7/9
  25. 25.Which is bigger: −5/7 or −6/7? (a) −6/7 (b) −5/7
  26. 26.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  27. 27.What is (−8/9) + (−3/8)? (a) −37/72 (b) 91/72 (c) −11/17 (d) −91/72
  28. 28.What is (−2/9) − 2/9? (a) 0 (b) −4/9 (c) −2/9 (d) 4/9
  29. 29.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −4/3 (c) −3/4 (d) 3/4
  30. 30.What is (−1/2) + (−5/8)? (a) −9/8 (b) 9/8 (c) −3/5 (d) 1/8
  31. 31.Which is bigger: −1/2 or −7/8? (a) −7/8 (b) −1/2
  32. 32.What is (−7/9) − 1/3? (a) −2/3 (b) −10/9 (c) −4/9 (d) 10/9
  33. 33.Which is smaller: −3/8 or 7/8? (a) −3/8 (b) 7/8
  34. 34.Is 3/8 positive or negative? (a) Negative (b) Positive
  35. 35.Write −5/15 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −5/15 (c) −3/1 (d) −1/3
  36. 36.What is (−1/8) − (−1/6)? (a) −7/24 (b) 1/24 (c) 0 (d) −1/24
  37. 37.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  38. 38.What is (−5/6) + (−5/9)? (a) −5/18 (b) 25/18 (c) −25/18 (d) −2/3
  39. 39.What is the reciprocal (multiplicative inverse) of −2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  40. 40.What is (−1/3) + 1/4? (a) 0 (b) −7/12 (c) −1/12 (d) 1/12

Answer key

  1. 4/7
  2. Positive
  3. −1/18
  4. −29/24
  5. −51/35
  6. −29/35
  7. −8/9
  8. −8/7
  9. 1/5
  10. −4/7
  11. −1/9
  12. 2/3
  13. −1/28
  14. −17/42
  15. Negative
  16. 1/9
  17. −4/7
  18. 1/2
  19. −1/5
  20. −7/36
  21. −1/8
  22. −2/3
  23. Positive
  24. −7/9
  25. −5/7
  26. −5
  27. −91/72
  28. −4/9
  29. −3/4
  30. −9/8
  31. −1/2
  32. −10/9
  33. −3/8
  34. Positive
  35. −1/3
  36. 1/24
  37. Positive
  38. −25/18
  39. −5/2
  40. −1/12

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