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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 412 · 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 −8/7 positive or negative? (a) Positive (b) Negative
  2. 2.Which is bigger: −2/7 or −1/7? (a) −1/7 (b) −2/7
  3. 3.Which is bigger: −3/8 or −1/2? (a) −3/8 (b) −1/2
  4. 4.Is −6/2 positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −2/5 or −4/9? (a) −4/9 (b) −2/5
  6. 6.What is (−1/2) − (−1/9)? (a) −7/18 (b) 0 (c) −11/18 (d) 7/18
  7. 7.What is (−4/7) + 2/9? (a) −1/8 (b) −50/63 (c) 22/63 (d) −22/63
  8. 8.Write −6/42 in standard form (lowest terms, positive denominator). (a) −6/42 (b) −7/1 (c) −1/7 (d) 1/7
  9. 9.What is (−1/7) + (−1/2)? (a) 5/14 (b) −2/9 (c) −9/14 (d) 9/14
  10. 10.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −2/3 (c) −3/2 (d) 3/2
  11. 11.Write −8/18 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −8/18 (d) −4/9
  12. 12.Which is smaller: −6/7 or 3/5? (a) 3/5 (b) −6/7
  13. 13.Which is bigger: −1/8 or −3/4? (a) −1/8 (b) −3/4
  14. 14.What is (−4/7) + 5/6? (a) 1/13 (b) 11/42 (c) −11/42 (d) −59/42
  15. 15.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  16. 16.What is (−4/9) − 2/9? (a) −1/3 (b) −2/3 (c) −2/9 (d) 2/3
  17. 17.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  18. 18.Which is bigger: −3/5 or −2/7? (a) −2/7 (b) −3/5
  19. 19.What is 8/9 + (−2/9)? (a) −2/3 (b) 10/9 (c) 1/3 (d) 2/3
  20. 20.Which is smaller: −1/8 or −4/9? (a) −1/8 (b) −4/9
  21. 21.What is the additive inverse of −3/8? (a) −3/8 (b) 3/8 (c) 8/3 (d) −8/3
  22. 22.What is (−1/3) + 3/5? (a) 1/4 (b) 4/15 (c) −14/15 (d) −4/15
  23. 23.Which is smaller: −1/7 or 1/3? (a) −1/7 (b) 1/3
  24. 24.What is (−3/7) + 3/8? (a) −45/56 (b) −3/56 (c) 0 (d) 3/56
  25. 25.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  26. 26.Is −9/3 positive or negative? (a) Positive (b) Negative
  27. 27.What is 5/9 + (−3/4)? (a) 7/36 (b) 47/36 (c) 2/13 (d) −7/36
  28. 28.What is 3/8 + (−1/8)? (a) 1/2 (b) 1/8 (c) 1/4 (d) −1/4
  29. 29.Which is bigger: −2/3 or −2/7? (a) −2/3 (b) −2/7
  30. 30.What is (−4/5) − 7/8? (a) 67/40 (b) −11/13 (c) 3/40 (d) −67/40
  31. 31.Which is smaller: −2/9 or −1/7? (a) −1/7 (b) −2/9
  32. 32.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −7/9 or −3/7? (a) −7/9 (b) −3/7
  34. 34.Which is smaller: −8/9 or 6/7? (a) 6/7 (b) −8/9
  35. 35.What is (−7/9) + (−6/7)? (a) 103/63 (b) −13/16 (c) −103/63 (d) 5/63
  36. 36.Which is smaller: −5/8 or −5/9? (a) −5/9 (b) −5/8
  37. 37.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9
  38. 38.Which is bigger: −2/3 or 1/2? (a) −2/3 (b) 1/2
  39. 39.What is 3/4 + (−4/7)? (a) 37/28 (b) −5/28 (c) −1/11 (d) 5/28
  40. 40.What is the additive inverse of −2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2

Answer key

  1. Negative
  2. −1/7
  3. −3/8
  4. Negative
  5. −4/9
  6. −7/18
  7. −22/63
  8. −1/7
  9. −9/14
  10. −3/2
  11. −4/9
  12. −6/7
  13. −1/8
  14. 11/42
  15. 3/5
  16. −2/3
  17. −9/8
  18. −2/7
  19. 2/3
  20. −4/9
  21. 3/8
  22. 4/15
  23. −1/7
  24. −3/56
  25. −7/6
  26. Negative
  27. −7/36
  28. 1/4
  29. −2/7
  30. −67/40
  31. −2/9
  32. Positive
  33. −7/9
  34. −8/9
  35. −103/63
  36. −5/8
  37. 9/7
  38. 1/2
  39. 5/28
  40. 2/5

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