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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 750 · 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 (−2/3) + (−5/6)? (a) 1/6 (b) −3/2 (c) −7/9 (d) 3/2
  2. 2.Which is smaller: −1/6 or −2/5? (a) −2/5 (b) −1/6
  3. 3.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  4. 4.Is −9/5 positive or negative? (a) Positive (b) Negative
  5. 5.What is the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  6. 6.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  8. 8.Write −15/27 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −15/27 (d) −5/9
  9. 9.What is (−1/6) + (−3/5)? (a) −4/11 (b) 23/30 (c) 13/30 (d) −23/30
  10. 10.What is the reciprocal (multiplicative inverse) of −1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  11. 11.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  12. 12.What is the additive inverse of 4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  13. 13.What is 3/5 − (−3/7)? (a) 36/35 (b) 6/35 (c) −36/35 (d) 1/2
  14. 14.What is (−4/7) + (−3/5)? (a) −41/35 (b) 41/35 (c) 1/35 (d) −7/12
  15. 15.Which is bigger: −8/9 or 4/9? (a) 4/9 (b) −8/9
  16. 16.What is the additive inverse of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  17. 17.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −3/18 (d) −1/6
  18. 18.Which is smaller: −1/8 or 2/9? (a) 2/9 (b) −1/8
  19. 19.What is the additive inverse of −3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  20. 20.What is 7/8 − (−4/5)? (a) −67/40 (b) 3/40 (c) 67/40 (d) 11/13
  21. 21.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−6/7) − 1/8? (a) −55/56 (b) −7/15 (c) −41/56 (d) 55/56
  23. 23.What is (−8/9) + (−5/6)? (a) −1/18 (b) 31/18 (c) −31/18 (d) −13/15
  24. 24.Write −16/20 in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −16/20 (d) −5/4
  25. 25.What is (−1/9) + 1/3? (a) 2/9 (b) −4/9 (c) 0 (d) −2/9
  26. 26.Which is smaller: −2/9 or −2/3? (a) −2/3 (b) −2/9
  27. 27.What is (−3/8) − (−1/4)? (a) −1/8 (b) −5/8 (c) −1/6 (d) 1/8
  28. 28.Which is bigger: −1/6 or 3/8? (a) −1/6 (b) 3/8
  29. 29.What is the additive inverse of −5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  30. 30.Which is bigger: −8/9 or 3/8? (a) −8/9 (b) 3/8
  31. 31.Which is bigger: −4/7 or −3/8? (a) −3/8 (b) −4/7
  32. 32.What is 5/6 − (−1/3)? (a) 1/2 (b) −7/6 (c) 2/3 (d) 7/6
  33. 33.Which is smaller: −3/8 or −5/8? (a) −3/8 (b) −5/8
  34. 34.What is 5/9 − (−2/3)? (a) 7/12 (b) −1/9 (c) 11/9 (d) −11/9
  35. 35.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  36. 36.What is (−1/4) − (−5/9)? (a) −11/36 (b) 11/36 (c) −29/36 (d) 4/13
  37. 37.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) 8/3 (d) −3/8
  38. 38.What is the additive inverse of 5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  39. 39.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −4/5 or 2/5? (a) 2/5 (b) −4/5

Answer key

  1. −3/2
  2. −2/5
  3. Negative
  4. Negative
  5. −7/8
  6. Positive
  7. 2
  8. −5/9
  9. −23/30
  10. −6
  11. −2
  12. −4/5
  13. 36/35
  14. −41/35
  15. 4/9
  16. 1/3
  17. −1/6
  18. −1/8
  19. 3/5
  20. 67/40
  21. Negative
  22. −55/56
  23. −31/18
  24. −4/5
  25. 2/9
  26. −2/3
  27. −1/8
  28. 3/8
  29. 5/8
  30. 3/8
  31. −3/8
  32. 7/6
  33. −5/8
  34. 11/9
  35. 4/3
  36. 11/36
  37. −3/8
  38. −5/6
  39. Negative
  40. 2/5

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