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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 540 · 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.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  2. 2.What is the additive inverse of 4/9? (a) 4/9 (b) −4/9 (c) −9/4 (d) 9/4
  3. 3.Is −3/7 positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −2/3 or −4/9? (a) −2/3 (b) −4/9
  5. 5.Write −10/12 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −10/12
  6. 6.Write −18/42 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −18/42 (d) −3/7
  7. 7.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −10/45 (c) 2/9 (d) −2/9
  8. 8.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  9. 9.What is (−2/5) + 1/5? (a) −1/5 (b) −1/10 (c) −3/5 (d) 1/5
  10. 10.Which is bigger: −3/8 or 4/5? (a) −3/8 (b) 4/5
  11. 11.What is 2/7 + (−2/5)? (a) 24/35 (b) 4/35 (c) 0 (d) −4/35
  12. 12.What is 2/3 − (−1/5)? (a) 3/8 (b) −13/15 (c) 7/15 (d) 13/15
  13. 13.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −9/12 (b) 3/4 (c) −4/3 (d) −3/4
  14. 14.What is (−3/4) − (−4/7)? (a) −37/28 (b) 5/28 (c) 1/11 (d) −5/28
  15. 15.What is the additive inverse of −3/4? (a) 4/3 (b) −4/3 (c) −3/4 (d) 3/4
  16. 16.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  17. 17.What is the additive inverse of 5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  18. 18.What is (−5/6) − 3/4? (a) −1/12 (b) −19/12 (c) −4/5 (d) 19/12
  19. 19.What is the additive inverse of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  20. 20.Is 7/(−7) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−4/5) + (−1/7)? (a) 33/35 (b) −33/35 (c) −5/12 (d) −23/35
  22. 22.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  23. 23.What is (−1/7) + 5/7? (a) −4/7 (b) 4/7 (c) 2/7 (d) −6/7
  24. 24.What is (−5/9) + 1/3? (a) −1/3 (b) 2/9 (c) −2/9 (d) −8/9
  25. 25.What is 1/9 + (−1/2)? (a) 11/18 (b) 0 (c) −7/18 (d) 7/18
  26. 26.Which is smaller: −6/7 or −1/4? (a) −6/7 (b) −1/4
  27. 27.Which is bigger: −1/5 or 8/9? (a) −1/5 (b) 8/9
  28. 28.Which is bigger: −2/7 or 5/9? (a) 5/9 (b) −2/7
  29. 29.What is 4/5 − (−1/3)? (a) 7/15 (b) 5/8 (c) −17/15 (d) 17/15
  30. 30.What is the additive inverse of 7/9? (a) 7/9 (b) −7/9 (c) 9/7 (d) −9/7
  31. 31.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  32. 32.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  33. 33.Which is bigger: −1/5 or 2/7? (a) −1/5 (b) 2/7
  34. 34.Write −12/21 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −12/21 (c) −7/4 (d) −4/7
  35. 35.What is (−2/3) − (−4/9)? (a) −10/9 (b) −2/9 (c) 1/6 (d) 2/9
  36. 36.What is the additive inverse of 1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  37. 37.Which is smaller: −1/3 or −7/8? (a) −7/8 (b) −1/3
  38. 38.Write −25/35 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −25/35
  39. 39.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  40. 40.What is the additive inverse of 5/7? (a) 7/5 (b) 5/7 (c) −7/5 (d) −5/7

Answer key

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

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