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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 557 · 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 −6/(−4) positive or negative? (a) Positive (b) Negative
  2. 2.What is the additive inverse of 1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  3. 3.What is (−5/8) + (−3/5)? (a) −49/40 (b) −8/13 (c) 49/40 (d) −1/40
  4. 4.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  5. 5.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  6. 6.Write −20/45 in standard form (lowest terms, positive denominator). (a) −20/45 (b) −4/9 (c) −9/4 (d) 4/9
  7. 7.What is (−2/5) − 8/9? (a) 58/45 (b) −5/7 (c) 22/45 (d) −58/45
  8. 8.What is (−1/4) + 1/5? (a) 1/20 (b) 0 (c) −9/20 (d) −1/20
  9. 9.What is the additive inverse of 1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  10. 10.Write −3/9 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/9 (c) 1/3 (d) −3/1
  11. 11.What is (−2/9) − 5/9? (a) −7/9 (b) 7/9 (c) 1/3 (d) −7/18
  12. 12.Which is smaller: −2/5 or −2/7? (a) −2/5 (b) −2/7
  13. 13.Which is bigger: −1/7 or 3/4? (a) 3/4 (b) −1/7
  14. 14.Which is smaller: −1/6 or −1/2? (a) −1/2 (b) −1/6
  15. 15.What is the additive inverse of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  16. 16.What is (−1/8) + 7/8? (a) −3/4 (b) 3/8 (c) 3/4 (d) −1
  17. 17.What is 5/6 − (−3/8)? (a) 29/24 (b) −29/24 (c) 4/7 (d) 11/24
  18. 18.Is 6/9 positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −1/5 or 1/8? (a) 1/8 (b) −1/5
  20. 20.What is (−8/9) − (−1/9)? (a) −7/9 (b) −1 (c) 7/9 (d) −7/18
  21. 21.What is (−1/3) + 2/5? (a) −1/15 (b) −11/15 (c) 1/8 (d) 1/15
  22. 22.What is (−3/7) + (−3/5)? (a) 6/35 (b) 36/35 (c) −1/2 (d) −36/35
  23. 23.What is the additive inverse of 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  24. 24.What is (−5/7) + (−5/6)? (a) 65/42 (b) 5/42 (c) −65/42 (d) −10/13
  25. 25.Which is smaller: −7/9 or −2/3? (a) −7/9 (b) −2/3
  26. 26.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) −8/5 (c) 5/8 (d) 8/5
  27. 27.What is (−2/7) + (−6/7)? (a) −8/7 (b) −4/7 (c) 8/7 (d) 4/7
  28. 28.Write −35/40 in standard form (lowest terms, positive denominator). (a) −35/40 (b) −8/7 (c) −7/8 (d) 7/8
  29. 29.Write −2/12 in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −2/12 (d) −6/1
  30. 30.Which is bigger: −1/6 or 1/5? (a) −1/6 (b) 1/5
  31. 31.What is (−5/8) + 5/8? (a) −5/4 (b) 0
  32. 32.What is (−5/8) − (−3/7)? (a) −11/56 (b) 11/56 (c) −59/56 (d) −2/15
  33. 33.Is 8/6 positive or negative? (a) Negative (b) Positive
  34. 34.What is (−2/9) − (−2/9)? (a) 0 (b) −4/9
  35. 35.What is (−4/9) + 8/9? (a) −4/3 (b) 4/9 (c) 2/9 (d) −4/9
  36. 36.What is (−4/9) + (−7/8)? (a) −11/17 (b) 95/72 (c) 31/72 (d) −95/72
  37. 37.Write −8/36 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −8/36 (c) −9/2 (d) 2/9
  38. 38.What is 1/4 + (−5/9)? (a) 11/36 (b) −11/36 (c) 29/36 (d) −4/13
  39. 39.Which is bigger: −1/9 or −1/3? (a) −1/3 (b) −1/9
  40. 40.Write −25/30 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −25/30 (d) 5/6

Answer key

  1. Positive
  2. −1/3
  3. −49/40
  4. Negative
  5. −9/5
  6. −4/9
  7. −58/45
  8. −1/20
  9. −1/8
  10. −1/3
  11. −7/9
  12. −2/5
  13. 3/4
  14. −1/2
  15. −1/4
  16. 3/4
  17. 29/24
  18. Positive
  19. 1/8
  20. −7/9
  21. 1/15
  22. −36/35
  23. −5/6
  24. −65/42
  25. −7/9
  26. 8/5
  27. −8/7
  28. −7/8
  29. −1/6
  30. 1/5
  31. 0
  32. −11/56
  33. Positive
  34. 0
  35. 4/9
  36. −95/72
  37. −2/9
  38. −11/36
  39. −1/9
  40. −5/6

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