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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 998 · 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 2/5 − (−1/5)? (a) 1/5 (b) 3/10 (c) −3/5 (d) 3/5
  2. 2.Which is smaller: −4/9 or −1/6? (a) −1/6 (b) −4/9
  3. 3.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −6/54
  4. 4.Which is smaller: −1/9 or 1/4? (a) 1/4 (b) −1/9
  5. 5.Is 4/3 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−1/6) − 7/8? (a) 25/24 (b) −25/24 (c) 17/24 (d) −4/7
  7. 7.What is (−3/5) − 1/5? (a) −2/5 (b) 4/5 (c) −4/5
  8. 8.Which is bigger: −7/8 or −4/5? (a) −4/5 (b) −7/8
  9. 9.Which is bigger: −5/7 or 3/5? (a) −5/7 (b) 3/5
  10. 10.What is (−5/6) − (−1/6)? (a) 2/3 (b) −1/3 (c) −2/3 (d) −1
  11. 11.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  12. 12.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  13. 13.Which is smaller: −1/7 or −1/9? (a) −1/9 (b) −1/7
  14. 14.Which is smaller: −4/9 or −5/9? (a) −4/9 (b) −5/9
  15. 15.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) −5 (c) −1/5 (d) 1/5
  16. 16.What is the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  17. 17.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −3/27 (c) −1/9 (d) −9/1
  18. 18.What is the additive inverse of −3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  19. 19.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −7/5 (c) −5/7 (d) 5/7
  20. 20.Which is bigger: −4/9 or 1/6? (a) 1/6 (b) −4/9
  21. 21.What is the additive inverse of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  22. 22.Which is smaller: −5/9 or 1/2? (a) −5/9 (b) 1/2
  23. 23.What is (−1/9) − 5/6? (a) 17/18 (b) −17/18 (c) −2/5 (d) 13/18
  24. 24.Is 8/(−3) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−7/9) + 1/8? (a) −47/72 (b) −6/17 (c) 47/72 (d) −65/72
  26. 26.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  27. 27.Which is smaller: −2/5 or −6/7? (a) −6/7 (b) −2/5
  28. 28.What is (−7/9) + 7/8? (a) 0 (b) −7/72 (c) −119/72 (d) 7/72
  29. 29.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) −1/6 (c) −6/1 (d) 1/6
  30. 30.What is (−1/7) − 5/7? (a) −6/7 (b) 4/7 (c) −3/7 (d) 6/7
  31. 31.Is −1/2 positive or negative? (a) Positive (b) Negative
  32. 32.Write −12/21 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −12/21 (d) −4/7
  33. 33.What is (−2/3) + (−3/8)? (a) 25/24 (b) −7/24 (c) −25/24 (d) −5/11
  34. 34.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −10/12 (c) −6/5 (d) −5/6
  35. 35.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −4/20 (c) −5/1 (d) −1/5
  36. 36.Write −2/18 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −2/18 (d) −9/1
  37. 37.What is the additive inverse of 2/3? (a) 3/2 (b) 2/3 (c) −3/2 (d) −2/3
  38. 38.What is the additive inverse of −7/9? (a) 7/9 (b) −9/7 (c) 9/7 (d) −7/9
  39. 39.What is (−1/8) + (−4/5)? (a) 27/40 (b) 37/40 (c) −5/13 (d) −37/40
  40. 40.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5

Answer key

  1. 3/5
  2. −4/9
  3. −1/9
  4. −1/9
  5. Positive
  6. −25/24
  7. −4/5
  8. −4/5
  9. 3/5
  10. −2/3
  11. −1/2
  12. 5/3
  13. −1/7
  14. −5/9
  15. 5
  16. −1/6
  17. −1/9
  18. 3/5
  19. −7/5
  20. 1/6
  21. 6/7
  22. −5/9
  23. −17/18
  24. Negative
  25. −47/72
  26. 3
  27. −6/7
  28. 7/72
  29. −1/6
  30. −6/7
  31. Negative
  32. −4/7
  33. −25/24
  34. −5/6
  35. −1/5
  36. −1/9
  37. −2/3
  38. 7/9
  39. −37/40
  40. 8/5

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