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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 366 · 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 2/(−2) positive or negative? (a) Negative (b) Positive
  2. 2.What is (−3/8) − (−2/3)? (a) −25/24 (b) −7/24 (c) −1/11 (d) 7/24
  3. 3.Which is bigger: −1/9 or 1/3? (a) −1/9 (b) 1/3
  4. 4.Which is smaller: −1/3 or −1/4? (a) −1/4 (b) −1/3
  5. 5.Write −10/16 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −10/16 (c) −8/5 (d) −5/8
  6. 6.What is the reciprocal (multiplicative inverse) of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  7. 7.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −6/8 (c) −4/3 (d) −3/4
  8. 8.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −4/12 (b) −3/1 (c) 1/3 (d) −1/3
  9. 9.What is 5/9 − (−3/5)? (a) −2/45 (b) 52/45 (c) 4/7 (d) −52/45
  10. 10.Which is smaller: −4/5 or 6/7? (a) −4/5 (b) 6/7
  11. 11.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −30/35
  12. 12.Which is smaller: −3/8 or −1/4? (a) −3/8 (b) −1/4
  13. 13.What is 2/9 + (−1/8)? (a) 25/72 (b) 1/17 (c) −7/72 (d) 7/72
  14. 14.What is the additive inverse of −7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  15. 15.Which is smaller: −5/9 or −7/9? (a) −7/9 (b) −5/9
  16. 16.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −10/45 (b) −2/9 (c) 2/9 (d) −9/2
  17. 17.What is 1/4 − (−1/8)? (a) 1/6 (b) 1/8 (c) 3/8 (d) −3/8
  18. 18.Which is smaller: −5/9 or −1/4? (a) −1/4 (b) −5/9
  19. 19.Is 6/9 positive or negative? (a) Positive (b) Negative
  20. 20.What is 1/6 − (−4/9)? (a) 11/18 (b) 1/3 (c) −11/18 (d) −5/18
  21. 21.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −30/54 (c) −5/9 (d) 5/9
  22. 22.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −12/14 (d) −6/7
  23. 23.What is 2/7 − (−1/3)? (a) −13/21 (b) 3/10 (c) 13/21 (d) −1/21
  24. 24.What is 8/9 − (−4/7)? (a) −92/63 (b) 92/63 (c) 20/63 (d) 3/4
  25. 25.What is 8/9 − (−5/6)? (a) 13/15 (b) 31/18 (c) −31/18 (d) 1/18
  26. 26.Is −1/8 positive or negative? (a) Negative (b) Positive
  27. 27.Write −12/27 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −4/9 (d) −12/27
  28. 28.Write −2/18 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −2/18 (d) −1/9
  29. 29.What is 1/3 + (−7/9)? (a) 4/9 (b) −4/9 (c) −1/2 (d) 10/9
  30. 30.What is the additive inverse of −3/7? (a) −3/7 (b) 7/3 (c) 3/7 (d) −7/3
  31. 31.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −6/9
  32. 32.What is (−2/3) + (−3/5)? (a) −5/8 (b) 19/15 (c) −1/15 (d) −19/15
  33. 33.Which is bigger: −4/9 or −1/6? (a) −1/6 (b) −4/9
  34. 34.Which is bigger: −1/9 or −7/9? (a) −7/9 (b) −1/9
  35. 35.What is (−2/7) + (−3/7)? (a) 1/7 (b) −5/14 (c) −5/7 (d) 5/7
  36. 36.What is (−1/7) − 2/5? (a) 19/35 (b) −19/35 (c) −1/4 (d) 9/35
  37. 37.What is (−2/3) − (−3/7)? (a) 1/10 (b) 5/21 (c) −23/21 (d) −5/21
  38. 38.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  39. 39.What is (−1/4) + 1/4? (a) 0 (b) −1/2
  40. 40.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −35/40

Answer key

  1. Negative
  2. 7/24
  3. 1/3
  4. −1/3
  5. −5/8
  6. −8
  7. −3/4
  8. −1/3
  9. 52/45
  10. −4/5
  11. −6/7
  12. −3/8
  13. 7/72
  14. 7/8
  15. −7/9
  16. −2/9
  17. 3/8
  18. −5/9
  19. Positive
  20. 11/18
  21. −5/9
  22. −6/7
  23. 13/21
  24. 92/63
  25. 31/18
  26. Negative
  27. −4/9
  28. −1/9
  29. −4/9
  30. 3/7
  31. −2/3
  32. −19/15
  33. −1/6
  34. −1/9
  35. −5/7
  36. −19/35
  37. −5/21
  38. −7/5
  39. 0
  40. −7/8

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