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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 561 · 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 −4/(−6) positive or negative? (a) Positive (b) Negative
  2. 2.Write −18/21 in standard form (lowest terms, positive denominator). (a) −18/21 (b) 6/7 (c) −6/7 (d) −7/6
  3. 3.Which is bigger: −3/8 or −3/5? (a) −3/8 (b) −3/5
  4. 4.What is (−1/5) − (−2/5)? (a) 1/10 (b) −1/5 (c) −3/5 (d) 1/5
  5. 5.What is (−4/9) − (−7/8)? (a) −95/72 (b) 31/72 (c) −31/72 (d) 3/17
  6. 6.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 4/9 (d) 9/4
  7. 7.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) −3/2 (c) 2/3 (d) 3/2
  8. 8.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  9. 9.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −48/54 (c) −8/9 (d) −9/8
  10. 10.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −3/15
  11. 11.What is (−5/8) + 3/7? (a) −59/56 (b) 11/56 (c) −11/56 (d) −2/15
  12. 12.What is 1/8 + (−3/8)? (a) −1/4 (b) −1/8 (c) 1/2 (d) 1/4
  13. 13.Is 7/(−8) positive or negative? (a) Negative (b) Positive
  14. 14.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  15. 15.Is −4/2 positive or negative? (a) Negative (b) Positive
  16. 16.What is the additive inverse of 2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  17. 17.What is 5/8 − (−3/4)? (a) 11/8 (b) −1/8 (c) −11/8 (d) 2/3
  18. 18.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/6) − 1/4? (a) 5/12 (b) −1/5 (c) 1/12 (d) −5/12
  20. 20.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  21. 21.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  22. 22.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  23. 23.What is 5/9 − (−1/8)? (a) 6/17 (b) 31/72 (c) 49/72 (d) −49/72
  24. 24.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−5/8) + 1/9? (a) −4/17 (b) −53/72 (c) −37/72 (d) 37/72
  26. 26.Write −4/8 in standard form (lowest terms, positive denominator). (a) −4/8 (b) 1/2 (c) −2/1 (d) −1/2
  27. 27.What is (−6/7) − (−2/3)? (a) −32/21 (b) −4/21 (c) −2/5 (d) 4/21
  28. 28.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  29. 29.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −25/30 (c) −5/6 (d) −6/5
  30. 30.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −6/15 (d) −5/2
  31. 31.Which is bigger: −1/5 or 1/3? (a) 1/3 (b) −1/5
  32. 32.What is 2/3 − (−1/2)? (a) 1/6 (b) 7/6 (c) −7/6 (d) 3/5
  33. 33.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) 3/8 (c) −3/8 (d) −8/3
  34. 34.Write −20/28 in standard form (lowest terms, positive denominator). (a) −20/28 (b) −7/5 (c) −5/7 (d) 5/7
  35. 35.Is −2/6 positive or negative? (a) Negative (b) Positive
  36. 36.What is the additive inverse of 2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  37. 37.Write −2/18 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −2/18 (c) 1/9 (d) −1/9
  38. 38.Write −16/36 in standard form (lowest terms, positive denominator). (a) −16/36 (b) −9/4 (c) −4/9 (d) 4/9
  39. 39.Which is smaller: −5/8 or −4/7? (a) −4/7 (b) −5/8
  40. 40.What is (−2/5) − 8/9? (a) 22/45 (b) −5/7 (c) −58/45 (d) 58/45

Answer key

  1. Positive
  2. −6/7
  3. −3/8
  4. 1/5
  5. 31/72
  6. 4/9
  7. 3/2
  8. −7/5
  9. −8/9
  10. −1/5
  11. −11/56
  12. −1/4
  13. Negative
  14. Negative
  15. Negative
  16. −2/9
  17. 11/8
  18. Negative
  19. −5/12
  20. 5/3
  21. 5/8
  22. 5/2
  23. 49/72
  24. Positive
  25. −37/72
  26. −1/2
  27. −4/21
  28. 4/3
  29. −5/6
  30. −2/5
  31. 1/3
  32. 7/6
  33. −3/8
  34. −5/7
  35. Negative
  36. −2/5
  37. −1/9
  38. −4/9
  39. −5/8
  40. −58/45

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