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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 482 · 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) − (−1/5)? (a) 0 (b) −3/40 (c) −13/40 (d) 3/40
  2. 2.Which is smaller: −1/3 or −3/5? (a) −1/3 (b) −3/5
  3. 3.Is 4/3 positive or negative? (a) Positive (b) Negative
  4. 4.What is the additive inverse of −7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  5. 5.Is −6/7 positive or negative? (a) Negative (b) Positive
  6. 6.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −2/10 (c) 1/5 (d) −1/5
  7. 7.What is (−3/8) − 3/4? (a) −1/2 (b) 9/8 (c) −9/8 (d) 3/8
  8. 8.What is (−1/5) + 8/9? (a) −49/45 (b) −31/45 (c) 31/45 (d) 1/2
  9. 9.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −4/8 (d) −2/1
  10. 10.Which is bigger: −7/9 or 2/3? (a) 2/3 (b) −7/9
  11. 11.Which is bigger: −5/7 or −6/7? (a) −5/7 (b) −6/7
  12. 12.Write −18/48 in standard form (lowest terms, positive denominator). (a) −18/48 (b) 3/8 (c) −8/3 (d) −3/8
  13. 13.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −25/40 (d) −5/8
  14. 14.Write −30/36 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −30/36 (d) −6/5
  15. 15.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  16. 16.Which is smaller: −1/7 or −1/3? (a) −1/7 (b) −1/3
  17. 17.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  18. 18.What is 2/5 + (−2/7)? (a) 4/35 (b) 0 (c) 24/35 (d) −4/35
  19. 19.What is 3/7 − (−4/5)? (a) 43/35 (b) −13/35 (c) 7/12 (d) −43/35
  20. 20.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  21. 21.Write −3/6 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −3/6 (d) −2/1
  22. 22.Which is bigger: −3/7 or −2/9? (a) −2/9 (b) −3/7
  23. 23.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −20/24 (c) 5/6 (d) −5/6
  24. 24.Is 8/6 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−3/8) + 7/9? (a) −29/72 (b) −83/72 (c) 4/17 (d) 29/72
  26. 26.Is 9/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.Write −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −6/27 (c) −2/9 (d) 2/9
  28. 28.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −3/5 or −1/8? (a) −1/8 (b) −3/5
  30. 30.What is (−5/8) − 1/9? (a) 53/72 (b) −37/72 (c) −6/17 (d) −53/72
  31. 31.What is 4/9 + (−2/5)? (a) 2/45 (b) −2/45 (c) 1/7 (d) 38/45
  32. 32.Which is smaller: −4/9 or 1/3? (a) −4/9 (b) 1/3
  33. 33.Write −2/12 in standard form (lowest terms, positive denominator). (a) −2/12 (b) −6/1 (c) 1/6 (d) −1/6
  34. 34.What is the additive inverse of 4/9? (a) −9/4 (b) −4/9 (c) 4/9 (d) 9/4
  35. 35.What is (−5/9) + (−1/8)? (a) −31/72 (b) −49/72 (c) 49/72 (d) −6/17
  36. 36.Write −10/45 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −10/45 (c) −2/9 (d) −9/2
  37. 37.What is 1/7 + (−5/7)? (a) −4/7 (b) 6/7 (c) −2/7 (d) 4/7
  38. 38.What is (−5/6) + (−1/8)? (a) −17/24 (b) 23/24 (c) −3/7 (d) −23/24
  39. 39.What is the additive inverse of −6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  40. 40.What is (−7/8) − (−1/8)? (a) −3/8 (b) −1 (c) −3/4 (d) 3/4

Answer key

  1. 3/40
  2. −3/5
  3. Positive
  4. 7/8
  5. Negative
  6. −1/5
  7. −9/8
  8. 31/45
  9. −1/2
  10. 2/3
  11. −5/7
  12. −3/8
  13. −5/8
  14. −5/6
  15. Positive
  16. −1/3
  17. Positive
  18. 4/35
  19. 43/35
  20. Positive
  21. −1/2
  22. −2/9
  23. −5/6
  24. Positive
  25. 29/72
  26. Negative
  27. −2/9
  28. Positive
  29. −3/5
  30. −53/72
  31. 2/45
  32. −4/9
  33. −1/6
  34. −4/9
  35. −49/72
  36. −2/9
  37. −4/7
  38. −23/24
  39. 6/7
  40. −3/4

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