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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 357 · 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 9/7 positive or negative? (a) Negative (b) Positive
  2. 2.Which is bigger: −5/6 or −3/5? (a) −5/6 (b) −3/5
  3. 3.Which is bigger: −1/6 or −3/5? (a) −3/5 (b) −1/6
  4. 4.What is (−1/9) − (−2/9)? (a) 1/9 (b) −1/3 (c) −1/9 (d) 1/18
  5. 5.Is 5/2 positive or negative? (a) Negative (b) Positive
  6. 6.Which is bigger: −1/3 or 1/8? (a) −1/3 (b) 1/8
  7. 7.Which is smaller: −4/9 or −8/9? (a) −8/9 (b) −4/9
  8. 8.Which is bigger: −2/3 or 1/9? (a) −2/3 (b) 1/9
  9. 9.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  10. 10.Which is smaller: −2/7 or −3/5? (a) −3/5 (b) −2/7
  11. 11.Which is bigger: −5/6 or −1/8? (a) −1/8 (b) −5/6
  12. 12.What is (−1/3) + (−7/9)? (a) −10/9 (b) −2/3 (c) 10/9 (d) 4/9
  13. 13.What is (−1/9) + 5/8? (a) −53/72 (b) 37/72 (c) 4/17 (d) −37/72
  14. 14.What is (−1/4) + (−1/4)? (a) 0 (b) −1/4 (c) −1/2 (d) 1/2
  15. 15.What is (−3/4) + 5/9? (a) −47/36 (b) 2/13 (c) 7/36 (d) −7/36
  16. 16.Which is bigger: −1/9 or −2/7? (a) −2/7 (b) −1/9
  17. 17.Is −2/6 positive or negative? (a) Positive (b) Negative
  18. 18.What is the additive inverse of 1/8? (a) −8 (b) 1/8 (c) −1/8 (d) 8
  19. 19.What is (−5/9) + (−2/3)? (a) 11/9 (b) 1/9 (c) −11/9 (d) −7/12
  20. 20.Which is bigger: −1/5 or 1/7? (a) −1/5 (b) 1/7
  21. 21.What is 6/7 + (−1/5)? (a) −23/35 (b) 37/35 (c) 23/35 (d) 5/12
  22. 22.What is 5/9 − (−1/9)? (a) 1/3 (b) −2/3 (c) 4/9 (d) 2/3
  23. 23.Is −9/(−5) positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −1/6 or 4/9? (a) 4/9 (b) −1/6
  25. 25.Write −6/15 in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) −2/5 (d) 2/5
  26. 26.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −9/15 (d) 3/5
  27. 27.Which is smaller: −4/7 or 1/8? (a) 1/8 (b) −4/7
  28. 28.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −3/5 or −5/7? (a) −5/7 (b) −3/5
  30. 30.What is 5/8 + (−1/9)? (a) 53/72 (b) 37/72 (c) −37/72 (d) 4/17
  31. 31.What is the additive inverse of −3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  32. 32.Write −3/12 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −3/12 (d) −4/1
  33. 33.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  34. 34.What is (−1/3) + (−7/8)? (a) −29/24 (b) −8/11 (c) 13/24 (d) 29/24
  35. 35.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  36. 36.Which is bigger: −1/4 or −2/3? (a) −1/4 (b) −2/3
  37. 37.What is (−5/7) − 1/2? (a) −2/3 (b) 17/14 (c) −17/14 (d) −3/14
  38. 38.What is (−5/7) − (−2/5)? (a) −11/35 (b) −39/35 (c) 11/35 (d) −1/4
  39. 39.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  40. 40.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/9 (c) −1/3 (d) −3/1

Answer key

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

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