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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 634 · 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.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −3/15
  2. 2.Which is smaller: −4/9 or 1/2? (a) −4/9 (b) 1/2
  3. 3.What is (−3/5) − 4/9? (a) 47/45 (b) −47/45 (c) −7/45 (d) −1/2
  4. 4.Which is bigger: −8/9 or 1/7? (a) −8/9 (b) 1/7
  5. 5.Which is smaller: −1/4 or 2/3? (a) −1/4 (b) 2/3
  6. 6.Is −4/(−9) positive or negative? (a) Negative (b) Positive
  7. 7.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.What is (−3/4) − 4/5? (a) 31/20 (b) −31/20 (c) −7/9 (d) 1/20
  9. 9.Is 3/7 positive or negative? (a) Negative (b) Positive
  10. 10.Is −2/3 positive or negative? (a) Positive (b) Negative
  11. 11.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) −3/7 (c) −7/3 (d) 3/7
  12. 12.Which is bigger: −1/8 or 1/7? (a) −1/8 (b) 1/7
  13. 13.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −15/18
  14. 14.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  15. 15.Which is bigger: −1/3 or −5/9? (a) −5/9 (b) −1/3
  16. 16.Write −16/36 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −16/36 (d) 4/9
  17. 17.Which is bigger: −3/4 or 5/7? (a) 5/7 (b) −3/4
  18. 18.What is (−5/6) + (−2/3)? (a) −3/2 (b) −7/9 (c) 3/2 (d) −1/6
  19. 19.Which is smaller: −1/7 or −1/6? (a) −1/7 (b) −1/6
  20. 20.What is 6/7 − (−1/5)? (a) 7/12 (b) 37/35 (c) −37/35 (d) 23/35
  21. 21.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  22. 22.Is 6/7 positive or negative? (a) Positive (b) Negative
  23. 23.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −5/25
  24. 24.Is −7/4 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−1/9) − 2/3? (a) 5/9 (b) −7/9 (c) 7/9 (d) −1/4
  26. 26.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  27. 27.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  28. 28.What is the reciprocal (multiplicative inverse) of −5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  29. 29.Which is smaller: −1/4 or 4/5? (a) 4/5 (b) −1/4
  30. 30.Is 8/2 positive or negative? (a) Negative (b) Positive
  31. 31.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  32. 32.Which is smaller: −1/7 or 2/5? (a) −1/7 (b) 2/5
  33. 33.What is the additive inverse of −2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  34. 34.What is 5/8 − (−1/7)? (a) 27/56 (b) 2/5 (c) −43/56 (d) 43/56
  35. 35.Which is smaller: −2/3 or −1/3? (a) −1/3 (b) −2/3
  36. 36.Which is bigger: −8/9 or −1/4? (a) −8/9 (b) −1/4
  37. 37.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  38. 38.Which is bigger: −5/6 or −8/9? (a) −5/6 (b) −8/9
  39. 39.What is (−7/9) + 3/8? (a) −4/17 (b) −83/72 (c) 29/72 (d) −29/72
  40. 40.What is (−1/3) − (−4/9)? (a) 1/4 (b) −1/9 (c) 1/9 (d) −7/9

Answer key

  1. −1/5
  2. −4/9
  3. −47/45
  4. 1/7
  5. −1/4
  6. Positive
  7. Negative
  8. −31/20
  9. Positive
  10. Negative
  11. −3/7
  12. 1/7
  13. −5/6
  14. −1/5
  15. −1/3
  16. −4/9
  17. 5/7
  18. −3/2
  19. −1/6
  20. 37/35
  21. Negative
  22. Positive
  23. −1/5
  24. Negative
  25. −7/9
  26. 7/6
  27. 3/2
  28. −8/5
  29. −1/4
  30. Positive
  31. 1/4
  32. −1/7
  33. 2/9
  34. 43/56
  35. −2/3
  36. −1/4
  37. −5/2
  38. −5/6
  39. −29/72
  40. 1/9

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