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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 201 · 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.Which is bigger: −1/2 or −1/5? (a) −1/5 (b) −1/2
  2. 2.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −2/7 (d) −4/14
  3. 3.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −4/3 (d) −6/8
  4. 4.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −15/27 (c) −5/9 (d) 5/9
  5. 5.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −2/3 (c) 2/3 (d) −3/2
  6. 6.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  8. 8.Is −9/7 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−2/3) + 2/9? (a) 4/9 (b) 0 (c) −8/9 (d) −4/9
  10. 10.What is 7/9 + (−4/7)? (a) 3/16 (b) 13/63 (c) −13/63 (d) 85/63
  11. 11.Which is smaller: −5/9 or −1/8? (a) −5/9 (b) −1/8
  12. 12.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  13. 13.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  14. 14.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −4/7 (c) −7/4 (d) 4/7
  15. 15.Is 2/(−6) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−1/8) − (−5/9)? (a) 31/72 (b) 4/17 (c) −49/72 (d) −31/72
  17. 17.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  18. 18.What is 7/9 − (−3/4)? (a) 1/36 (b) 55/36 (c) 10/13 (d) −55/36
  19. 19.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −7/3 (d) −3/7
  20. 20.What is 1/6 + (−1/3)? (a) 1/6 (b) 1/2 (c) 0 (d) −1/6
  21. 21.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  22. 22.Which is smaller: −6/7 or 1/2? (a) 1/2 (b) −6/7
  23. 23.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) 7/3 (c) −3/7 (d) 3/7
  24. 24.What is (−1/5) + (−1/5)? (a) 2/5 (b) −1/5 (c) 0 (d) −2/5
  25. 25.Which is bigger: −2/3 or −5/7? (a) −5/7 (b) −2/3
  26. 26.Is 3/2 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −3/4 or 1/8? (a) −3/4 (b) 1/8
  28. 28.What is 1/7 − (−4/7)? (a) 5/7 (b) −5/7 (c) −3/7 (d) 5/14
  29. 29.Which is smaller: −4/7 or 1/5? (a) 1/5 (b) −4/7
  30. 30.What is the additive inverse of −1/9? (a) 1/9 (b) −1/9 (c) −9 (d) 9
  31. 31.What is 5/6 − (−5/9)? (a) 25/18 (b) 2/3 (c) 5/18 (d) −25/18
  32. 32.Write −20/32 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −20/32 (d) −8/5
  33. 33.What is (−4/7) − (−3/8)? (a) 11/56 (b) −11/56 (c) −53/56 (d) −1/15
  34. 34.What is (−2/5) + 1/2? (a) −1/7 (b) 1/10 (c) −9/10 (d) −1/10
  35. 35.What is (−3/8) − 5/9? (a) −67/72 (b) −8/17 (c) 67/72 (d) 13/72
  36. 36.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −12/18 (d) −2/3
  37. 37.Which is smaller: −4/7 or −1/5? (a) −4/7 (b) −1/5
  38. 38.Is 4/2 positive or negative? (a) Positive (b) Negative
  39. 39.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −15/24 (c) −5/8 (d) 5/8
  40. 40.Is −2/2 positive or negative? (a) Negative (b) Positive

Answer key

  1. −1/5
  2. −2/7
  3. −3/4
  4. −5/9
  5. −2/3
  6. Positive
  7. 8
  8. Negative
  9. −4/9
  10. 13/63
  11. −5/9
  12. −7/2
  13. 3
  14. 7/4
  15. Negative
  16. 31/72
  17. 3/2
  18. 55/36
  19. −3/7
  20. −1/6
  21. Negative
  22. −6/7
  23. 7/3
  24. −2/5
  25. −2/3
  26. Positive
  27. −3/4
  28. 5/7
  29. −4/7
  30. 1/9
  31. 25/18
  32. −5/8
  33. −11/56
  34. 1/10
  35. −67/72
  36. −2/3
  37. −4/7
  38. Positive
  39. −5/8
  40. Negative

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