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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 883 · 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: −1/9 or 4/9? (a) 4/9 (b) −1/9
  2. 2.Is −7/4 positive or negative? (a) Positive (b) Negative
  3. 3.What is 7/9 + (−4/9)? (a) −1/3 (b) 1/6 (c) 1/3 (d) 11/9
  4. 4.What is 5/7 + (−5/6)? (a) 65/42 (b) 5/42 (c) −5/42 (d) 0
  5. 5.What is (−2/3) + (−3/5)? (a) −19/15 (b) −1/15 (c) 19/15 (d) −5/8
  6. 6.What is (−3/8) − (−2/3)? (a) −25/24 (b) 7/24 (c) −1/11 (d) −7/24
  7. 7.What is (−2/5) + (−3/8)? (a) −1/40 (b) −5/13 (c) −31/40 (d) 31/40
  8. 8.Which is smaller: −1/8 or 1/3? (a) −1/8 (b) 1/3
  9. 9.What is (−8/9) − (−1/8)? (a) −7/17 (b) −73/72 (c) 55/72 (d) −55/72
  10. 10.Write −6/12 in standard form (lowest terms, positive denominator). (a) −6/12 (b) −2/1 (c) 1/2 (d) −1/2
  11. 11.Write −6/14 in standard form (lowest terms, positive denominator). (a) −6/14 (b) −7/3 (c) 3/7 (d) −3/7
  12. 12.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7
  13. 13.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 5 (c) −5 (d) 1/5
  14. 14.What is (−2/9) + (−2/5)? (a) −2/7 (b) 8/45 (c) −28/45 (d) 28/45
  15. 15.What is (−1/2) − 1/3? (a) −2/5 (b) 5/6 (c) −1/6 (d) −5/6
  16. 16.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  17. 17.Which is bigger: −3/7 or 2/5? (a) 2/5 (b) −3/7
  18. 18.What is the additive inverse of −3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  19. 19.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −6/1 (d) −2/12
  20. 20.What is (−5/8) + 1/8? (a) −3/4 (b) −1/2 (c) 1/2 (d) −1/4
  21. 21.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −30/54 (d) 5/9
  22. 22.Is −9/2 positive or negative? (a) Negative (b) Positive
  23. 23.What is the additive inverse of −1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  24. 24.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  25. 25.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) 2/7 (d) −2/7
  26. 26.Is 2/4 positive or negative? (a) Positive (b) Negative
  27. 27.What is the additive inverse of −3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  28. 28.What is (−2/7) + (−5/8)? (a) 19/56 (b) −51/56 (c) 51/56 (d) −7/15
  29. 29.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/36 (c) −6/1 (d) −1/6
  30. 30.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −2/18
  31. 31.Which is smaller: −1/2 or 1/5? (a) 1/5 (b) −1/2
  32. 32.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  33. 33.What is the additive inverse of 4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  34. 34.What is the additive inverse of −4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4
  35. 35.What is (−1/2) + 5/9? (a) 4/11 (b) −1/18 (c) 1/18 (d) −19/18
  36. 36.Which is smaller: −3/8 or 4/5? (a) 4/5 (b) −3/8
  37. 37.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −30/42 (c) −7/5 (d) 5/7
  38. 38.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) −2/3 (c) −3/2 (d) 2/3
  39. 39.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −2/10
  40. 40.What is 1/9 + (−4/7)? (a) −29/63 (b) 29/63 (c) −3/16 (d) 43/63

Answer key

  1. 4/9
  2. Negative
  3. 1/3
  4. −5/42
  5. −19/15
  6. 7/24
  7. −31/40
  8. −1/8
  9. −55/72
  10. −1/2
  11. −3/7
  12. 7/3
  13. 5
  14. −28/45
  15. −5/6
  16. −9/2
  17. 2/5
  18. 3/8
  19. −1/6
  20. −1/2
  21. −5/9
  22. Negative
  23. 1/3
  24. Positive
  25. −2/7
  26. Positive
  27. 3/4
  28. −51/56
  29. −1/6
  30. −1/9
  31. −1/2
  32. 5/2
  33. −4/7
  34. 4/5
  35. 1/18
  36. −3/8
  37. −5/7
  38. −2/3
  39. −1/5
  40. −29/63

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