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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 784 · 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 (−3/7) − (−1/4)? (a) −19/28 (b) −5/28 (c) −2/11 (d) 5/28
  2. 2.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  3. 3.Is −4/8 positive or negative? (a) Negative (b) Positive
  4. 4.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −12/28 (d) 3/7
  5. 5.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  6. 6.Is 2/8 positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −5/8 or 6/7? (a) −5/8 (b) 6/7
  8. 8.Is 7/9 positive or negative? (a) Negative (b) Positive
  9. 9.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) −2/1 (c) 1/2 (d) −1/2
  10. 10.What is 3/7 + (−2/9)? (a) 41/63 (b) 1/16 (c) −13/63 (d) 13/63
  11. 11.What is (−1/9) + 1/3? (a) −2/9 (b) 2/9 (c) −4/9 (d) 0
  12. 12.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−1/6) + 4/5? (a) 3/11 (b) −29/30 (c) 19/30 (d) −19/30
  14. 14.Which is smaller: −1/4 or −2/5? (a) −2/5 (b) −1/4
  15. 15.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  16. 16.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −10/45 (b) −2/9 (c) −9/2 (d) 2/9
  17. 17.Which is smaller: −1/5 or 3/4? (a) 3/4 (b) −1/5
  18. 18.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 7 (c) −7 (d) 1/7
  19. 19.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  20. 20.What is 3/4 + (−4/7)? (a) 37/28 (b) −5/28 (c) −1/11 (d) 5/28
  21. 21.Which is smaller: −8/9 or 5/9? (a) 5/9 (b) −8/9
  22. 22.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  23. 23.Which is bigger: −8/9 or −3/7? (a) −3/7 (b) −8/9
  24. 24.What is (−5/6) − 1/8? (a) −3/7 (b) 23/24 (c) −17/24 (d) −23/24
  25. 25.Is 6/(−9) positive or negative? (a) Negative (b) Positive
  26. 26.Is −9/(−2) positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −2/9 or −7/9? (a) −2/9 (b) −7/9
  28. 28.Is −9/(−5) positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −7/8 or 5/9? (a) −7/8 (b) 5/9
  30. 30.What is the additive inverse of 3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3
  31. 31.What is (−1/3) + (−5/7)? (a) 8/21 (b) −3/5 (c) 22/21 (d) −22/21
  32. 32.What is (−1/2) + 5/6? (a) −1/3 (b) 1/3 (c) −4/3 (d) 1/2
  33. 33.Which is bigger: −1/9 or 3/7? (a) 3/7 (b) −1/9
  34. 34.What is (−5/7) − (−5/9)? (a) −10/63 (b) −80/63 (c) 10/63 (d) 0
  35. 35.What is (−5/6) + 4/9? (a) 7/18 (b) −1/15 (c) −7/18 (d) −23/18
  36. 36.Write −25/40 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −25/40 (d) 5/8
  37. 37.What is the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  38. 38.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) 3/5 (d) −12/20
  39. 39.Which is smaller: −1/8 or 2/5? (a) −1/8 (b) 2/5
  40. 40.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) 2/7 (c) −7/2 (d) −2/7

Answer key

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

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