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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 685 · 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 (−1/8) + 1/6? (a) −7/24 (b) 0 (c) 1/24 (d) −1/24
  2. 2.Is 2/6 positive or negative? (a) Positive (b) Negative
  3. 3.Write −12/28 in standard form (lowest terms, positive denominator). (a) −12/28 (b) 3/7 (c) −3/7 (d) −7/3
  4. 4.Is 3/(−3) positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −1/4 or −2/3? (a) −1/4 (b) −2/3
  6. 6.What is 4/5 − (−5/9)? (a) −61/45 (b) 61/45 (c) 11/45 (d) 9/14
  7. 7.What is 2/9 − (−7/9)? (a) 1 (b) −1 (c) −5/9 (d) 1/2
  8. 8.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) −1/4 (d) 1/4
  9. 9.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) −6 (c) 6 (d) 1/6
  10. 10.Which is smaller: −2/7 or −1/2? (a) −2/7 (b) −1/2
  11. 11.What is 1/3 + (−2/9)? (a) −1/12 (b) 5/9 (c) −1/9 (d) 1/9
  12. 12.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −6/12 (c) −1/2 (d) 1/2
  13. 13.Is −8/9 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−8/9) − 5/8? (a) −109/72 (b) −13/17 (c) −19/72 (d) 109/72
  15. 15.Which is bigger: −2/3 or −5/6? (a) −2/3 (b) −5/6
  16. 16.Which is bigger: −4/9 or −3/7? (a) −4/9 (b) −3/7
  17. 17.Which is bigger: −1/6 or −5/9? (a) −1/6 (b) −5/9
  18. 18.Which is smaller: −6/7 or −4/9? (a) −6/7 (b) −4/9
  19. 19.What is (−2/9) + (−1/2)? (a) 13/18 (b) 5/18 (c) −13/18 (d) −3/11
  20. 20.Is −4/2 positive or negative? (a) Positive (b) Negative
  21. 21.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−1/7) − 7/9? (a) 58/63 (b) 40/63 (c) −1/2 (d) −58/63
  23. 23.Which is bigger: −6/7 or −4/7? (a) −6/7 (b) −4/7
  24. 24.Write −6/48 in standard form (lowest terms, positive denominator). (a) −6/48 (b) −1/8 (c) −8/1 (d) 1/8
  25. 25.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −4/10 (b) 2/5 (c) −5/2 (d) −2/5
  26. 26.What is (−5/7) + 6/7? (a) −11/7 (b) 1/7 (c) −1/7 (d) 1/14
  27. 27.Write −15/25 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −15/25 (c) −5/3 (d) 3/5
  28. 28.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  29. 29.Is −4/4 positive or negative? (a) Negative (b) Positive
  30. 30.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −2/18
  31. 31.What is the additive inverse of 1/9? (a) 9 (b) −1/9 (c) 1/9 (d) −9
  32. 32.What is 2/3 − (−7/8)? (a) −37/24 (b) 9/11 (c) −5/24 (d) 37/24
  33. 33.What is 3/4 + (−5/8)? (a) −1/8 (b) −1/6 (c) 11/8 (d) 1/8
  34. 34.Which is bigger: −2/7 or −2/3? (a) −2/7 (b) −2/3
  35. 35.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −24/30 (b) 4/5 (c) −5/4 (d) −4/5
  36. 36.What is (−6/7) + (−1/3)? (a) −25/21 (b) −7/10 (c) −11/21 (d) 25/21
  37. 37.What is (−2/3) − (−1/2)? (a) −1/6 (b) 1/6 (c) −7/6 (d) −1/5
  38. 38.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −6/15 (c) 2/5 (d) −2/5
  39. 39.What is (−3/4) + 6/7? (a) 3/11 (b) 3/28 (c) −3/28 (d) −45/28
  40. 40.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2

Answer key

  1. 1/24
  2. Positive
  3. −3/7
  4. Negative
  5. −2/3
  6. 61/45
  7. 1
  8. −1/4
  9. −6
  10. −1/2
  11. 1/9
  12. −1/2
  13. Negative
  14. −109/72
  15. −2/3
  16. −3/7
  17. −1/6
  18. −6/7
  19. −13/18
  20. Negative
  21. Negative
  22. −58/63
  23. −4/7
  24. −1/8
  25. −2/5
  26. 1/7
  27. −3/5
  28. 7/3
  29. Negative
  30. −1/9
  31. −1/9
  32. 37/24
  33. 1/8
  34. −2/7
  35. −4/5
  36. −25/21
  37. −1/6
  38. −2/5
  39. 3/28
  40. 2

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