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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 173 · 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 −24/30 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −24/30 (c) 4/5 (d) −4/5
  2. 2.What is the additive inverse of 4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  3. 3.Which is smaller: −5/8 or −3/4? (a) −5/8 (b) −3/4
  4. 4.Which is smaller: −4/5 or −3/5? (a) −4/5 (b) −3/5
  5. 5.Write −2/16 in standard form (lowest terms, positive denominator). (a) −2/16 (b) −8/1 (c) 1/8 (d) −1/8
  6. 6.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  7. 7.What is (−6/7) − (−6/7)? (a) −12/7 (b) 0
  8. 8.What is (−5/8) − 2/9? (a) 61/72 (b) −7/17 (c) −61/72 (d) −29/72
  9. 9.What is (−2/3) − 4/9? (a) 10/9 (b) −10/9 (c) −2/9 (d) −1/2
  10. 10.What is (−4/7) − 3/7? (a) −1/7 (b) 1 (c) −1 (d) −1/2
  11. 11.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −12/21 (d) −4/7
  12. 12.What is (−2/5) − 4/9? (a) 38/45 (b) 2/45 (c) −38/45 (d) −3/7
  13. 13.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) −2/9 (c) −9/2 (d) 2/9
  14. 14.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  15. 15.Is −5/2 positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −7/8 or −5/8? (a) −5/8 (b) −7/8
  17. 17.Which is smaller: −4/5 or −8/9? (a) −8/9 (b) −4/5
  18. 18.Which is smaller: −2/5 or −1/4? (a) −1/4 (b) −2/5
  19. 19.What is (−3/7) + (−5/6)? (a) 17/42 (b) −8/13 (c) 53/42 (d) −53/42
  20. 20.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  21. 21.Is 9/9 positive or negative? (a) Positive (b) Negative
  22. 22.Write −3/6 in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −3/6 (d) −1/2
  23. 23.What is 5/6 − (−7/8)? (a) −1/24 (b) 6/7 (c) −41/24 (d) 41/24
  24. 24.What is (−5/6) + (−5/8)? (a) −5/7 (b) −5/24 (c) 35/24 (d) −35/24
  25. 25.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/6) + (−3/4)? (a) −2/5 (b) 7/12 (c) 11/12 (d) −11/12
  27. 27.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−3/7) − 5/9? (a) −1/2 (b) −62/63 (c) 8/63 (d) 62/63
  29. 29.What is 5/9 − (−5/7)? (a) −10/63 (b) 5/8 (c) 80/63 (d) −80/63
  30. 30.Is −5/6 positive or negative? (a) Positive (b) Negative
  31. 31.What is the additive inverse of −1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  32. 32.Is 5/2 positive or negative? (a) Positive (b) Negative
  33. 33.Write −32/36 in standard form (lowest terms, positive denominator). (a) −32/36 (b) −9/8 (c) −8/9 (d) 8/9
  34. 34.Which is bigger: −1/9 or −1/2? (a) −1/9 (b) −1/2
  35. 35.Which is smaller: −5/7 or −4/5? (a) −4/5 (b) −5/7
  36. 36.Which is smaller: −4/9 or −3/4? (a) −4/9 (b) −3/4
  37. 37.Is 1/3 positive or negative? (a) Negative (b) Positive
  38. 38.Which is bigger: −2/7 or −4/7? (a) −2/7 (b) −4/7
  39. 39.Is −8/(−8) positive or negative? (a) Positive (b) Negative
  40. 40.What is 1/2 + (−1/5)? (a) 0 (b) 3/10 (c) −3/10 (d) 7/10

Answer key

  1. −4/5
  2. −4/9
  3. −3/4
  4. −4/5
  5. −1/8
  6. Positive
  7. 0
  8. −61/72
  9. −10/9
  10. −1
  11. −4/7
  12. −38/45
  13. −9/2
  14. Negative
  15. Negative
  16. −5/8
  17. −8/9
  18. −2/5
  19. −53/42
  20. Negative
  21. Positive
  22. −1/2
  23. 41/24
  24. −35/24
  25. Negative
  26. −11/12
  27. Positive
  28. −62/63
  29. 80/63
  30. Negative
  31. 1/5
  32. Positive
  33. −8/9
  34. −1/9
  35. −4/5
  36. −3/4
  37. Positive
  38. −2/7
  39. Positive
  40. 3/10

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