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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 637 · 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 15/(−27) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −15/27 (d) 5/9
  2. 2.Which is smaller: −3/7 or 5/7? (a) 5/7 (b) −3/7
  3. 3.What is (−6/7) + 6/7? (a) −12/7 (b) 0
  4. 4.What is (−7/8) + 6/7? (a) −97/56 (b) −1/56 (c) 1/56 (d) −1/15
  5. 5.What is (−1/3) + 4/9? (a) −7/9 (b) −1/9 (c) 1/9 (d) 1/4
  6. 6.What is the additive inverse of −7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  7. 7.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −2/16 (b) −1/8 (c) 1/8 (d) −8/1
  8. 8.Which is smaller: −6/7 or −3/4? (a) −3/4 (b) −6/7
  9. 9.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −3/18
  10. 10.Is −8/9 positive or negative? (a) Negative (b) Positive
  11. 11.What is (−5/9) + 2/5? (a) −3/14 (b) 7/45 (c) −43/45 (d) −7/45
  12. 12.Which is bigger: −6/7 or −8/9? (a) −8/9 (b) −6/7
  13. 13.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) 1/5 (c) −5/1 (d) −1/5
  14. 14.Which is bigger: −2/3 or −3/7? (a) −3/7 (b) −2/3
  15. 15.Which is smaller: −2/3 or −3/5? (a) −3/5 (b) −2/3
  16. 16.Is −3/2 positive or negative? (a) Positive (b) Negative
  17. 17.Is 2/7 positive or negative? (a) Negative (b) Positive
  18. 18.Which is smaller: −1/5 or 7/8? (a) 7/8 (b) −1/5
  19. 19.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  20. 20.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −5/9 (c) −9/5 (d) 9/5
  21. 21.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  22. 22.Which is smaller: −8/9 or −2/9? (a) −8/9 (b) −2/9
  23. 23.Write −10/14 in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −10/14 (d) −7/5
  24. 24.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −10/12
  25. 25.What is 7/9 − (−5/7)? (a) 94/63 (b) 3/4 (c) −94/63 (d) 4/63
  26. 26.What is (−5/7) − (−3/4)? (a) −1/28 (b) −41/28 (c) 1/28 (d) −2/11
  27. 27.Which is smaller: −7/9 or −3/5? (a) −7/9 (b) −3/5
  28. 28.What is the additive inverse of 3/7? (a) 3/7 (b) 7/3 (c) −7/3 (d) −3/7
  29. 29.What is 1/4 − (−1/4)? (a) 1/4 (b) 0 (c) 1/2 (d) −1/2
  30. 30.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  31. 31.What is the additive inverse of 6/7? (a) 6/7 (b) 7/6 (c) −7/6 (d) −6/7
  32. 32.Is 9/(−5) positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −1/9 or −4/7? (a) −1/9 (b) −4/7
  34. 34.What is (−2/7) + (−6/7)? (a) −8/7 (b) 8/7 (c) −4/7 (d) 4/7
  35. 35.Is −2/9 positive or negative? (a) Negative (b) Positive
  36. 36.Is −4/2 positive or negative? (a) Positive (b) Negative
  37. 37.Write −8/14 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) −8/14 (d) 4/7
  38. 38.Write −15/18 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −15/18 (c) −5/6 (d) −6/5
  39. 39.What is (−5/7) − 6/7? (a) −11/14 (b) 1/7 (c) −11/7 (d) 11/7
  40. 40.What is (−1/9) − 3/5? (a) 22/45 (b) 32/45 (c) −32/45 (d) −2/7

Answer key

  1. −5/9
  2. −3/7
  3. 0
  4. −1/56
  5. 1/9
  6. 7/8
  7. −1/8
  8. −6/7
  9. −1/6
  10. Negative
  11. −7/45
  12. −6/7
  13. −1/5
  14. −3/7
  15. −2/3
  16. Negative
  17. Positive
  18. −1/5
  19. −3/8
  20. −9/5
  21. −8/3
  22. −8/9
  23. −5/7
  24. −5/6
  25. 94/63
  26. 1/28
  27. −7/9
  28. −3/7
  29. 1/2
  30. 8/3
  31. −6/7
  32. Negative
  33. −4/7
  34. −8/7
  35. Negative
  36. Negative
  37. −4/7
  38. −5/6
  39. −11/7
  40. −32/45

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