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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 683 · 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 the additive inverse of 1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  2. 2.Which is bigger: −1/8 or 1/6? (a) −1/8 (b) 1/6
  3. 3.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  4. 4.What is (−5/9) − 2/5? (a) −7/45 (b) 43/45 (c) −1/2 (d) −43/45
  5. 5.Write −4/8 in standard form (lowest terms, positive denominator). (a) −4/8 (b) −2/1 (c) 1/2 (d) −1/2
  6. 6.What is (−1/4) + (−2/9)? (a) 17/36 (b) −3/13 (c) −17/36 (d) −1/36
  7. 7.Is 1/4 positive or negative? (a) Negative (b) Positive
  8. 8.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  9. 9.What is 3/8 − (−5/8)? (a) 1 (b) 1/2 (c) −1/4 (d) −1
  10. 10.What is (−1/3) + (−2/7)? (a) −1/21 (b) −13/21 (c) 13/21 (d) −3/10
  11. 11.What is (−3/8) − 7/9? (a) 83/72 (b) 29/72 (c) −10/17 (d) −83/72
  12. 12.What is (−7/8) + 3/4? (a) −13/8 (b) −1/3 (c) 1/8 (d) −1/8
  13. 13.Is 5/(−2) positive or negative? (a) Negative (b) Positive
  14. 14.Is 8/6 positive or negative? (a) Negative (b) Positive
  15. 15.Is −4/(−5) positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  17. 17.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  18. 18.Is 5/9 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/3) + 1/3? (a) −2/3 (b) 0
  20. 20.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  21. 21.What is the additive inverse of −1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  22. 22.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −8/9 (d) −9/8
  23. 23.Which is bigger: −1/3 or 6/7? (a) 6/7 (b) −1/3
  24. 24.What is (−1/7) − 1/3? (a) −1/5 (b) 10/21 (c) 4/21 (d) −10/21
  25. 25.What is 1/3 + (−4/5)? (a) 7/15 (b) 17/15 (c) −3/8 (d) −7/15
  26. 26.What is 5/9 − (−5/8)? (a) −85/72 (b) 10/17 (c) 85/72 (d) −5/72
  27. 27.What is (−4/7) + (−1/8)? (a) −1/3 (b) −39/56 (c) −25/56 (d) 39/56
  28. 28.What is 1/7 + (−3/5)? (a) −1/6 (b) 16/35 (c) 26/35 (d) −16/35
  29. 29.Which is bigger: −5/6 or 1/3? (a) 1/3 (b) −5/6
  30. 30.What is (−1/5) − (−3/8)? (a) −23/40 (b) 7/40 (c) 2/13 (d) −7/40
  31. 31.Is −1/7 positive or negative? (a) Negative (b) Positive
  32. 32.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  33. 33.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  34. 34.Write −6/30 in standard form (lowest terms, positive denominator). (a) −6/30 (b) −1/5 (c) −5/1 (d) 1/5
  35. 35.What is (−6/7) + 1/7? (a) −5/14 (b) −5/7 (c) 5/7 (d) −1
  36. 36.Which is bigger: −5/6 or −4/5? (a) −5/6 (b) −4/5
  37. 37.Is −3/(−9) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−3/8) + (−1/2)? (a) 1/8 (b) 7/8 (c) −7/8 (d) −2/5
  39. 39.What is (−2/9) − 1/2? (a) 13/18 (b) −13/18 (c) −3/11 (d) 5/18
  40. 40.What is the additive inverse of 7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8

Answer key

  1. −1/3
  2. 1/6
  3. 9/8
  4. −43/45
  5. −1/2
  6. −17/36
  7. Positive
  8. −5/3
  9. 1
  10. −13/21
  11. −83/72
  12. −1/8
  13. Negative
  14. Positive
  15. Positive
  16. −3/5
  17. 2/3
  18. Positive
  19. 0
  20. −9/4
  21. 1/4
  22. −8/9
  23. 6/7
  24. −10/21
  25. −7/15
  26. 85/72
  27. −39/56
  28. −16/35
  29. 1/3
  30. 7/40
  31. Negative
  32. −5/2
  33. Positive
  34. −1/5
  35. −5/7
  36. −4/5
  37. Positive
  38. −7/8
  39. −13/18
  40. −7/8

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