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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 170 · 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.What is (−1/4) − 3/5? (a) −4/9 (b) 7/20 (c) 17/20 (d) −17/20
  2. 2.What is 1/4 + (−2/5)? (a) 13/20 (b) −3/20 (c) −1/9 (d) 3/20
  3. 3.What is the additive inverse of 3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  4. 4.What is the additive inverse of 1/9? (a) 1/9 (b) −1/9 (c) 9 (d) −9
  5. 5.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −30/48 (d) −5/8
  6. 6.Which is bigger: −7/8 or 3/7? (a) −7/8 (b) 3/7
  7. 7.Write −12/27 in standard form (lowest terms, positive denominator). (a) −12/27 (b) −4/9 (c) −9/4 (d) 4/9
  8. 8.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.Is −9/5 positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of 7/8? (a) 7/8 (b) 8/7 (c) −7/8 (d) −8/7
  11. 11.Is 6/5 positive or negative? (a) Negative (b) Positive
  12. 12.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  13. 13.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −8/36 (b) −2/9 (c) 2/9 (d) −9/2
  14. 14.What is 1/2 − (−3/7)? (a) 1/14 (b) 4/9 (c) 13/14 (d) −13/14
  15. 15.What is 4/9 + (−1/5)? (a) −11/45 (b) 29/45 (c) 3/14 (d) 11/45
  16. 16.What is (−2/5) − (−7/9)? (a) −17/45 (b) 5/14 (c) 17/45 (d) −53/45
  17. 17.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −7/2 (c) −2/7 (d) 2/7
  18. 18.Is −1/8 positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −1/4 or −2/3? (a) −2/3 (b) −1/4
  20. 20.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  21. 21.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) 7/3 (c) 3/7 (d) −3/7
  22. 22.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  23. 23.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −15/24 (d) −5/8
  24. 24.What is (−3/4) − (−1/3)? (a) −13/12 (b) −5/12 (c) 5/12 (d) −2/7
  25. 25.What is (−5/7) − 6/7? (a) −11/7 (b) 1/7 (c) 11/7 (d) −11/14
  26. 26.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −24/28 (d) −7/6
  27. 27.Is −6/2 positive or negative? (a) Negative (b) Positive
  28. 28.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) −1/2 (c) 1/2 (d) −2/1
  29. 29.Which is bigger: −1/9 or 3/7? (a) −1/9 (b) 3/7
  30. 30.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −1/8 or 1/2? (a) 1/2 (b) −1/8
  32. 32.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  33. 33.What is (−2/3) + (−7/8)? (a) −37/24 (b) 37/24 (c) −9/11 (d) 5/24
  34. 34.What is (−1/8) + 3/8? (a) −1/4 (b) 1/8 (c) 1/4 (d) −1/2
  35. 35.What is (−1/2) − (−1/7)? (a) −9/14 (b) −5/14 (c) 5/14 (d) 0
  36. 36.What is (−8/9) − 1/4? (a) −41/36 (b) 41/36 (c) −9/13 (d) −23/36
  37. 37.Is 2/2 positive or negative? (a) Positive (b) Negative
  38. 38.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  39. 39.Which is smaller: −3/7 or −1/3? (a) −3/7 (b) −1/3
  40. 40.What is the additive inverse of −3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7

Answer key

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

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