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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 659 · 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 1/2 − (−1/7)? (a) 9/14 (b) −9/14 (c) 2/9 (d) 5/14
  2. 2.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  3. 3.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −8/5 (d) −10/16
  4. 4.What is (−1/2) + (−4/7)? (a) −15/14 (b) 15/14 (c) −5/9 (d) 1/14
  5. 5.What is (−1/2) + 6/7? (a) 5/9 (b) −19/14 (c) 5/14 (d) −5/14
  6. 6.What is (−1/4) − (−7/8)? (a) −5/8 (b) −9/8 (c) 1/2 (d) 5/8
  7. 7.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −15/25 (d) −5/3
  8. 8.What is (−2/9) − 3/5? (a) 37/45 (b) 17/45 (c) −5/14 (d) −37/45
  9. 9.What is 5/7 + (−5/7)? (a) 10/7 (b) 0
  10. 10.Which is smaller: −7/8 or −2/5? (a) −7/8 (b) −2/5
  11. 11.What is (−1/2) − 1/7? (a) −5/14 (b) −2/9 (c) 9/14 (d) −9/14
  12. 12.Which is bigger: −1/7 or −5/8? (a) −5/8 (b) −1/7
  13. 13.What is the additive inverse of 2/5? (a) −5/2 (b) 2/5 (c) 5/2 (d) −2/5
  14. 14.Which is smaller: −2/3 or −1/4? (a) −1/4 (b) −2/3
  15. 15.Write −28/36 in standard form (lowest terms, positive denominator). (a) −28/36 (b) −9/7 (c) −7/9 (d) 7/9
  16. 16.Which is bigger: −1/8 or −1/3? (a) −1/8 (b) −1/3
  17. 17.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  18. 18.What is (−5/9) + 3/7? (a) −1/8 (b) −62/63 (c) −8/63 (d) 8/63
  19. 19.What is (−1/3) − 1/2? (a) 1/6 (b) −5/6 (c) 5/6 (d) −2/5
  20. 20.What is the additive inverse of 5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8
  21. 21.What is (−1/6) − 1/3? (a) −2/9 (b) 1/6 (c) −1/2 (d) 1/2
  22. 22.Which is bigger: −1/9 or 1/3? (a) 1/3 (b) −1/9
  23. 23.What is 3/5 − (−4/5)? (a) 7/10 (b) −7/5 (c) −1/5 (d) 7/5
  24. 24.What is (−2/3) + 1/4? (a) −5/12 (b) 5/12 (c) −11/12 (d) −1/7
  25. 25.Which is smaller: −5/6 or −1/4? (a) −1/4 (b) −5/6
  26. 26.What is 3/5 − (−5/6)? (a) −7/30 (b) 43/30 (c) −43/30 (d) 8/11
  27. 27.What is 4/5 + (−4/9)? (a) 56/45 (b) −16/45 (c) 0 (d) 16/45
  28. 28.Which is bigger: −7/9 or −7/8? (a) −7/8 (b) −7/9
  29. 29.Which is bigger: −1/7 or −5/6? (a) −1/7 (b) −5/6
  30. 30.Write −5/20 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −5/20 (d) 1/4
  31. 31.What is (−3/8) − 8/9? (a) −91/72 (b) −11/17 (c) 37/72 (d) 91/72
  32. 32.What is 2/3 + (−8/9)? (a) 2/9 (b) 14/9 (c) −2/9 (d) −1/2
  33. 33.What is 3/5 − (−2/9)? (a) −37/45 (b) 37/45 (c) 17/45 (d) 5/14
  34. 34.What is (−1/3) − 1/4? (a) 7/12 (b) −1/12 (c) −2/7 (d) −7/12
  35. 35.What is the additive inverse of −5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  36. 36.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −3/5 or 1/4? (a) −3/5 (b) 1/4
  38. 38.What is 1/5 + (−4/5)? (a) −3/5 (b) −3/10 (c) 3/5 (d) 1
  39. 39.What is the additive inverse of −3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  40. 40.Is −2/9 positive or negative? (a) Negative (b) Positive

Answer key

  1. 9/14
  2. Positive
  3. −5/8
  4. −15/14
  5. 5/14
  6. 5/8
  7. −3/5
  8. −37/45
  9. 0
  10. −7/8
  11. −9/14
  12. −1/7
  13. −2/5
  14. −2/3
  15. −7/9
  16. −1/8
  17. Negative
  18. −8/63
  19. −5/6
  20. −5/8
  21. −1/2
  22. 1/3
  23. 7/5
  24. −5/12
  25. −5/6
  26. 43/30
  27. 16/45
  28. −7/9
  29. −1/7
  30. −1/4
  31. −91/72
  32. −2/9
  33. 37/45
  34. −7/12
  35. 5/8
  36. Negative
  37. 1/4
  38. −3/5
  39. 3/8
  40. Negative

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