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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 7 · 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.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −2/14 (c) 1/7 (d) −1/7
  2. 2.Which is bigger: −1/8 or −1/2? (a) −1/8 (b) −1/2
  3. 3.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −2/5 (c) 5/2 (d) −5/2
  4. 4.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  5. 5.What is (−5/8) + (−1/4)? (a) −3/8 (b) −1/2 (c) 7/8 (d) −7/8
  6. 6.What is (−1/8) − 3/4? (a) −7/8 (b) 5/8 (c) −1/3 (d) 7/8
  7. 7.Which is bigger: −5/6 or −5/8? (a) −5/6 (b) −5/8
  8. 8.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −24/27 (b) 8/9 (c) −8/9 (d) −9/8
  9. 9.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −18/30
  10. 10.What is (−3/8) + (−3/5)? (a) −39/40 (b) −6/13 (c) 9/40 (d) 39/40
  11. 11.What is the additive inverse of 2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  12. 12.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −6/10 (d) −3/5
  13. 13.What is the additive inverse of 3/5? (a) 5/3 (b) −5/3 (c) −3/5 (d) 3/5
  14. 14.What is the additive inverse of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  15. 15.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  16. 16.What is the additive inverse of 7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  17. 17.Is −4/(−4) positive or negative? (a) Negative (b) Positive
  18. 18.Which is bigger: −1/6 or −1/8? (a) −1/6 (b) −1/8
  19. 19.What is (−1/6) + 3/8? (a) −13/24 (b) 1/7 (c) 5/24 (d) −5/24
  20. 20.Which is bigger: −5/7 or −1/4? (a) −5/7 (b) −1/4
  21. 21.Which is smaller: −7/9 or −1/9? (a) −7/9 (b) −1/9
  22. 22.Which is smaller: −3/5 or −4/9? (a) −3/5 (b) −4/9
  23. 23.Which is bigger: −1/4 or −2/9? (a) −2/9 (b) −1/4
  24. 24.What is (−5/7) − (−5/6)? (a) −65/42 (b) −5/42 (c) 5/42 (d) 0
  25. 25.Is −2/3 positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −1/2 or 2/5? (a) 2/5 (b) −1/2
  27. 27.Is 4/6 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−2/3) + (−1/5)? (a) −3/8 (b) 13/15 (c) −7/15 (d) −13/15
  29. 29.What is (−2/3) + 1/8? (a) −1/11 (b) 13/24 (c) −19/24 (d) −13/24
  30. 30.Which is bigger: −3/5 or −2/3? (a) −3/5 (b) −2/3
  31. 31.Write −3/27 in standard form (lowest terms, positive denominator). (a) −3/27 (b) −1/9 (c) −9/1 (d) 1/9
  32. 32.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  33. 33.What is 1/3 − (−1/9)? (a) 4/9 (b) 1/6 (c) −4/9 (d) 2/9
  34. 34.What is (−3/4) − (−3/8)? (a) −9/8 (b) 0 (c) 3/8 (d) −3/8
  35. 35.What is (−7/8) + 6/7? (a) 1/56 (b) −1/15 (c) −97/56 (d) −1/56
  36. 36.Write −10/12 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −10/12
  37. 37.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) 6 (c) −1/6 (d) −6
  38. 38.What is the additive inverse of −4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  39. 39.Which is bigger: −1/8 or −5/7? (a) −1/8 (b) −5/7
  40. 40.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3

Answer key

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

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