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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 266 · 40 sums
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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 4/4 positive or negative? (a) Positive (b) Negative
  2. 2.What is 6/7 + (−4/7)? (a) 2/7 (b) −2/7 (c) 1/7 (d) 10/7
  3. 3.Write −3/24 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −3/24 (c) −8/1 (d) −1/8
  4. 4.What is the additive inverse of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  5. 5.What is (−5/7) + (−4/7)? (a) −9/7 (b) 9/7 (c) −9/14 (d) −1/7
  6. 6.What is 2/7 + (−4/7)? (a) 6/7 (b) 2/7 (c) −2/7 (d) −1/7
  7. 7.What is 3/5 − (−1/7)? (a) −26/35 (b) 16/35 (c) 26/35 (d) 1/3
  8. 8.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.What is 1/5 − (−1/3)? (a) −2/15 (b) 8/15 (c) −8/15 (d) 1/4
  10. 10.What is (−4/9) − (−1/9)? (a) 1/3 (b) −1/6 (c) −5/9 (d) −1/3
  11. 11.What is (−1/2) + 3/7? (a) −13/14 (b) −1/14 (c) 1/14 (d) 2/9
  12. 12.What is (−3/8) + (−7/8)? (a) 1/2 (b) −5/8 (c) −5/4 (d) 5/4
  13. 13.Which is bigger: −3/4 or −1/4? (a) −1/4 (b) −3/4
  14. 14.What is the additive inverse of 7/9? (a) 9/7 (b) −9/7 (c) 7/9 (d) −7/9
  15. 15.What is the additive inverse of 3/4? (a) 4/3 (b) 3/4 (c) −3/4 (d) −4/3
  16. 16.What is 5/9 + (−4/7)? (a) 1/16 (b) 71/63 (c) −1/63 (d) 1/63
  17. 17.Is −5/9 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−8/9) + 8/9? (a) 0 (b) −16/9
  19. 19.Which is bigger: −1/2 or −1/5? (a) −1/2 (b) −1/5
  20. 20.Which is bigger: −1/2 or −4/7? (a) −1/2 (b) −4/7
  21. 21.Is −9/9 positive or negative? (a) Positive (b) Negative
  22. 22.Which is bigger: −1/9 or −4/5? (a) −4/5 (b) −1/9
  23. 23.Which is smaller: −3/4 or −7/8? (a) −7/8 (b) −3/4
  24. 24.Which is bigger: −2/3 or 3/4? (a) 3/4 (b) −2/3
  25. 25.Which is bigger: −5/8 or −1/4? (a) −1/4 (b) −5/8
  26. 26.What is 1/2 − (−1/6)? (a) −2/3 (b) 1/3 (c) 1/4 (d) 2/3
  27. 27.Which is bigger: −1/3 or −8/9? (a) −1/3 (b) −8/9
  28. 28.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) 3/5 (c) −5/3 (d) −3/5
  29. 29.Is 8/3 positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −4/5 or −1/3? (a) −1/3 (b) −4/5
  31. 31.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −4/10 (d) −2/5
  32. 32.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  33. 33.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/8) + (−1/7)? (a) −15/56 (b) 1/56 (c) 15/56 (d) −2/15
  36. 36.Which is smaller: −6/7 or −3/4? (a) −3/4 (b) −6/7
  37. 37.Is 2/2 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−5/9) + (−1/9)? (a) −1/3 (b) 2/3 (c) −4/9 (d) −2/3
  39. 39.What is the additive inverse of −2/9? (a) 9/2 (b) −2/9 (c) −9/2 (d) 2/9
  40. 40.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8

Answer key

  1. Positive
  2. 2/7
  3. −1/8
  4. 1/6
  5. −9/7
  6. −2/7
  7. 26/35
  8. Negative
  9. 8/15
  10. −1/3
  11. −1/14
  12. −5/4
  13. −1/4
  14. −7/9
  15. −3/4
  16. −1/63
  17. Negative
  18. 0
  19. −1/5
  20. −1/2
  21. Negative
  22. −1/9
  23. −7/8
  24. 3/4
  25. −1/4
  26. 2/3
  27. −1/3
  28. −3/5
  29. Positive
  30. −4/5
  31. −2/5
  32. Negative
  33. Negative
  34. Negative
  35. −15/56
  36. −6/7
  37. Positive
  38. −2/3
  39. 2/9
  40. −3/8

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