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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 572 · 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 −9/(−8) positive or negative? (a) Negative (b) Positive
  2. 2.Which is smaller: −1/2 or 3/7? (a) 3/7 (b) −1/2
  3. 3.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −3/9 (d) −1/3
  4. 4.What is 6/7 + (−1/4)? (a) 31/28 (b) −17/28 (c) 5/11 (d) 17/28
  5. 5.What is (−2/5) − 1/4? (a) −13/20 (b) 13/20 (c) −1/3 (d) −3/20
  6. 6.What is (−2/5) + (−5/8)? (a) 41/40 (b) −7/13 (c) 9/40 (d) −41/40
  7. 7.Is 7/(−4) positive or negative? (a) Negative (b) Positive
  8. 8.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  9. 9.Which is bigger: −1/4 or −7/8? (a) −7/8 (b) −1/4
  10. 10.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −6/48 (c) −1/8 (d) −8/1
  11. 11.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −6/54
  12. 12.Which is bigger: −1/5 or 7/9? (a) −1/5 (b) 7/9
  13. 13.What is (−3/4) + 1/5? (a) −11/20 (b) −2/9 (c) −19/20 (d) 11/20
  14. 14.Write −12/16 in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −12/16 (d) −3/4
  15. 15.What is (−1/6) − (−1/6)? (a) −1/3 (b) 0
  16. 16.Is 5/7 positive or negative? (a) Positive (b) Negative
  17. 17.What is (−7/9) + 1/4? (a) −19/36 (b) 19/36 (c) −37/36 (d) −6/13
  18. 18.Is −1/(−8) positive or negative? (a) Negative (b) Positive
  19. 19.What is (−1/6) + 6/7? (a) −29/42 (b) 29/42 (c) −43/42 (d) 5/13
  20. 20.Is −2/5 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−7/9) + (−5/6)? (a) −4/5 (b) 1/18 (c) 29/18 (d) −29/18
  22. 22.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  23. 23.What is the additive inverse of −1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  24. 24.Which is bigger: −1/9 or −1/2? (a) −1/9 (b) −1/2
  25. 25.What is the additive inverse of 2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  26. 26.Which is bigger: −3/8 or −2/7? (a) −2/7 (b) −3/8
  27. 27.Which is smaller: −2/9 or 1/3? (a) −2/9 (b) 1/3
  28. 28.What is 1/4 + (−1/2)? (a) 1/4 (b) 3/4 (c) 0 (d) −1/4
  29. 29.What is the additive inverse of −1/6? (a) −6 (b) 6 (c) −1/6 (d) 1/6
  30. 30.Which is smaller: −1/6 or −2/7? (a) −2/7 (b) −1/6
  31. 31.What is (−5/9) + (−1/4)? (a) 29/36 (b) −11/36 (c) −6/13 (d) −29/36
  32. 32.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 7/2 (c) 2/7 (d) −7/2
  33. 33.What is (−1/3) − 7/8? (a) 13/24 (b) −8/11 (c) −29/24 (d) 29/24
  34. 34.Is −2/3 positive or negative? (a) Positive (b) Negative
  35. 35.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −15/24 (b) 5/8 (c) −8/5 (d) −5/8
  36. 36.Write −6/42 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −6/42 (d) −1/7
  37. 37.Which is bigger: −2/7 or 5/8? (a) 5/8 (b) −2/7
  38. 38.What is (−1/2) − (−1/2)? (a) −1 (b) 0
  39. 39.Which is bigger: −1/3 or 1/8? (a) −1/3 (b) 1/8
  40. 40.What is the additive inverse of 6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7

Answer key

  1. Positive
  2. −1/2
  3. −1/3
  4. 17/28
  5. −13/20
  6. −41/40
  7. Negative
  8. Positive
  9. −1/4
  10. −1/8
  11. −1/9
  12. 7/9
  13. −11/20
  14. −3/4
  15. 0
  16. Positive
  17. −19/36
  18. Positive
  19. 29/42
  20. Negative
  21. −29/18
  22. Positive
  23. 1/2
  24. −1/9
  25. −2/9
  26. −2/7
  27. −2/9
  28. −1/4
  29. 1/6
  30. −2/7
  31. −29/36
  32. 7/2
  33. −29/24
  34. Negative
  35. −5/8
  36. −1/7
  37. 5/8
  38. 0
  39. 1/8
  40. −6/7

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