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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 128 · 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.Which is smaller: −5/8 or −1/3? (a) −5/8 (b) −1/3
  2. 2.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −8/20 (c) −5/2 (d) −2/5
  3. 3.What is (−2/3) + 1/8? (a) −19/24 (b) −1/11 (c) −13/24 (d) 13/24
  4. 4.What is (−3/7) + (−7/8)? (a) 73/56 (b) 25/56 (c) −2/3 (d) −73/56
  5. 5.Is 2/(−6) positive or negative? (a) Positive (b) Negative
  6. 6.Write −3/18 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −3/18 (c) −6/1 (d) 1/6
  7. 7.What is 6/7 + (−1/2)? (a) 5/9 (b) 19/14 (c) 5/14 (d) −5/14
  8. 8.Is −1/3 positive or negative? (a) Positive (b) Negative
  9. 9.What is 8/9 + (−4/5)? (a) 2/7 (b) −4/45 (c) 4/45 (d) 76/45
  10. 10.What is the additive inverse of −1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  11. 11.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −24/27 (b) 8/9 (c) −9/8 (d) −8/9
  12. 12.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  13. 13.What is (−4/5) + 8/9? (a) −76/45 (b) −4/45 (c) 2/7 (d) 4/45
  14. 14.What is (−7/8) + (−3/5)? (a) −59/40 (b) −10/13 (c) −11/40 (d) 59/40
  15. 15.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  16. 16.Which is bigger: −1/6 or 1/4? (a) −1/6 (b) 1/4
  17. 17.What is (−5/9) + 3/4? (a) −47/36 (b) 7/36 (c) −7/36 (d) −2/13
  18. 18.What is (−7/8) + 1/7? (a) 41/56 (b) −2/5 (c) −57/56 (d) −41/56
  19. 19.Is 7/5 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−3/4) + 2/9? (a) −1/13 (b) −19/36 (c) 19/36 (d) −35/36
  21. 21.Is 3/4 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−1/2) + 8/9? (a) −7/18 (b) −25/18 (c) 7/11 (d) 7/18
  23. 23.Which is bigger: −1/7 or 2/5? (a) 2/5 (b) −1/7
  24. 24.Which is smaller: −2/7 or −1/6? (a) −2/7 (b) −1/6
  25. 25.Is 9/7 positive or negative? (a) Positive (b) Negative
  26. 26.Is 3/2 positive or negative? (a) Negative (b) Positive
  27. 27.Which is smaller: −1/5 or 1/9? (a) 1/9 (b) −1/5
  28. 28.Is −6/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −4/3 (c) 3/4 (d) −3/4
  30. 30.What is (−3/7) − (−1/8)? (a) −31/56 (b) −17/56 (c) −2/15 (d) 17/56
  31. 31.What is 3/8 − (−5/8)? (a) 1/2 (b) −1/4 (c) 1 (d) −1
  32. 32.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  33. 33.Is −9/4 positive or negative? (a) Negative (b) Positive
  34. 34.What is (−5/7) + 5/6? (a) −5/42 (b) 5/42 (c) −65/42 (d) 0
  35. 35.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4
  36. 36.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −6/15
  37. 37.What is (−5/7) − 2/9? (a) −7/16 (b) −31/63 (c) 59/63 (d) −59/63
  38. 38.What is (−5/8) + (−1/5)? (a) 33/40 (b) −33/40 (c) −6/13 (d) −17/40
  39. 39.Is −8/8 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−1/4) − 1/7? (a) −2/11 (b) 11/28 (c) −3/28 (d) −11/28

Answer key

  1. −5/8
  2. −2/5
  3. −13/24
  4. −73/56
  5. Negative
  6. −1/6
  7. 5/14
  8. Negative
  9. 4/45
  10. 1/8
  11. −8/9
  12. −5/8
  13. 4/45
  14. −59/40
  15. −8/3
  16. 1/4
  17. 7/36
  18. −41/56
  19. Positive
  20. −19/36
  21. Positive
  22. 7/18
  23. 2/5
  24. −2/7
  25. Positive
  26. Positive
  27. −1/5
  28. Positive
  29. −3/4
  30. −17/56
  31. 1
  32. 7/2
  33. Negative
  34. 5/42
  35. −5/4
  36. −2/5
  37. −59/63
  38. −33/40
  39. Negative
  40. −11/28

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