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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 10 · 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 2/7 − (−1/7)? (a) −3/7 (b) 1/7 (c) 3/14 (d) 3/7
  2. 2.Is 4/9 positive or negative? (a) Negative (b) Positive
  3. 3.Write −6/30 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −6/30 (d) −1/5
  4. 4.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) −3/8 (c) 3/8 (d) −8/3
  5. 5.What is 3/7 + (−4/7)? (a) −1/14 (b) 1/7 (c) 1 (d) −1/7
  6. 6.What is the additive inverse of −7/9? (a) −9/7 (b) 7/9 (c) 9/7 (d) −7/9
  7. 7.Which is bigger: −1/4 or −5/9? (a) −1/4 (b) −5/9
  8. 8.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  9. 9.What is (−4/9) − 3/5? (a) −1/2 (b) −47/45 (c) 47/45 (d) 7/45
  10. 10.Which is bigger: −5/8 or −7/8? (a) −7/8 (b) −5/8
  11. 11.What is (−1/2) + 2/5? (a) −1/10 (b) −9/10 (c) 1/7 (d) 1/10
  12. 12.Is 2/6 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−4/7) + 1/6? (a) −3/13 (b) 17/42 (c) −31/42 (d) −17/42
  14. 14.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −7/3 (d) −3/7
  15. 15.What is (−1/5) − (−2/9)? (a) −1/45 (b) −19/45 (c) 1/45 (d) 1/14
  16. 16.Write −6/21 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −6/21
  17. 17.Which is bigger: −4/5 or 2/3? (a) 2/3 (b) −4/5
  18. 18.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  19. 19.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −6/14
  20. 20.What is 4/5 − (−4/9)? (a) 16/45 (b) 56/45 (c) 4/7 (d) −56/45
  21. 21.What is (−2/3) − (−8/9)? (a) −14/9 (b) −2/9 (c) 1/2 (d) 2/9
  22. 22.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −28/36 (d) −7/9
  23. 23.What is 2/9 + (−2/3)? (a) 4/9 (b) 0 (c) 8/9 (d) −4/9
  24. 24.Which is bigger: −5/9 or −3/7? (a) −3/7 (b) −5/9
  25. 25.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −3/5 (d) −5/3
  26. 26.What is (−1/6) + (−2/3)? (a) −1/3 (b) 5/6 (c) 1/2 (d) −5/6
  27. 27.Which is bigger: −1/2 or −1/9? (a) −1/2 (b) −1/9
  28. 28.What is the additive inverse of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  29. 29.What is 4/7 − (−1/2)? (a) 5/9 (b) −15/14 (c) 1/14 (d) 15/14
  30. 30.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  31. 31.What is (−4/9) + (−1/8)? (a) −23/72 (b) −41/72 (c) 41/72 (d) −5/17
  32. 32.Which is bigger: −1/6 or −2/9? (a) −2/9 (b) −1/6
  33. 33.What is the additive inverse of 7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  34. 34.Which is smaller: −1/8 or 4/7? (a) −1/8 (b) 4/7
  35. 35.What is the additive inverse of 7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  36. 36.Which is smaller: −3/4 or −2/5? (a) −3/4 (b) −2/5
  37. 37.Is −7/7 positive or negative? (a) Negative (b) Positive
  38. 38.Write −8/36 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −8/36 (d) −2/9
  39. 39.What is (−2/5) + (−1/5)? (a) −3/5 (b) 3/5 (c) −1/5 (d) −3/10
  40. 40.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −35/40 (b) 7/8 (c) −8/7 (d) −7/8

Answer key

  1. 3/7
  2. Positive
  3. −1/5
  4. −3/8
  5. −1/7
  6. 7/9
  7. −1/4
  8. 7/6
  9. −47/45
  10. −5/8
  11. −1/10
  12. Positive
  13. −17/42
  14. −3/7
  15. 1/45
  16. −2/7
  17. 2/3
  18. 1/3
  19. −3/7
  20. 56/45
  21. 2/9
  22. −7/9
  23. −4/9
  24. −3/7
  25. −3/5
  26. −5/6
  27. −1/9
  28. −8/9
  29. 15/14
  30. Negative
  31. −41/72
  32. −1/6
  33. −7/9
  34. −1/8
  35. −7/8
  36. −3/4
  37. Negative
  38. −2/9
  39. −3/5
  40. −7/8

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