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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 537 · 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.Which is bigger: −1/6 or −3/7? (a) −1/6 (b) −3/7
  2. 2.Which is smaller: −2/9 or −2/7? (a) −2/9 (b) −2/7
  3. 3.Is −4/8 positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −5/8 or 4/7? (a) −5/8 (b) 4/7
  5. 5.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  6. 6.What is the additive inverse of 3/5? (a) 3/5 (b) −3/5 (c) −5/3 (d) 5/3
  7. 7.What is 1/2 + (−5/7)? (a) 3/14 (b) −4/9 (c) 17/14 (d) −3/14
  8. 8.What is (−6/7) + 3/7? (a) −3/14 (b) 3/7 (c) −9/7 (d) −3/7
  9. 9.Is 8/(−5) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−1/9) − 1/4? (a) 13/36 (b) −2/13 (c) −13/36 (d) 5/36
  11. 11.Which is bigger: −2/3 or −5/9? (a) −2/3 (b) −5/9
  12. 12.Which is smaller: −1/7 or 7/8? (a) 7/8 (b) −1/7
  13. 13.Is −4/4 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) 3/7 (c) −3/7 (d) 7/3
  15. 15.What is (−2/7) + 3/8? (a) −5/56 (b) −37/56 (c) 5/56 (d) 1/15
  16. 16.Is −4/5 positive or negative? (a) Positive (b) Negative
  17. 17.What is 3/5 + (−2/5)? (a) 1 (b) −1/5 (c) 1/5 (d) 1/10
  18. 18.Which is bigger: −1/9 or 1/3? (a) 1/3 (b) −1/9
  19. 19.What is 8/9 − (−1/6)? (a) 3/5 (b) −19/18 (c) 19/18 (d) 13/18
  20. 20.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) −24/30 (d) 4/5
  21. 21.What is the additive inverse of 4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  22. 22.What is (−1/2) + (−1/6)? (a) −1/4 (b) 2/3 (c) −2/3 (d) −1/3
  23. 23.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −4/12 (c) −1/3 (d) 1/3
  24. 24.What is (−8/9) − (−3/7)? (a) −29/63 (b) −83/63 (c) 29/63 (d) −5/16
  25. 25.What is (−2/9) − (−5/6)? (a) −19/18 (b) 11/18 (c) 1/5 (d) −11/18
  26. 26.What is (−2/9) − 1/3? (a) 5/9 (b) −1/4 (c) −5/9 (d) 1/9
  27. 27.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  28. 28.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  29. 29.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −5/9 or −4/9? (a) −5/9 (b) −4/9
  31. 31.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  32. 32.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −4/10 (d) −5/2
  33. 33.What is the additive inverse of −8/9? (a) −8/9 (b) 8/9 (c) −9/8 (d) 9/8
  34. 34.What is (−1/4) + 3/4? (a) 1/2 (b) −1 (c) 1/4 (d) −1/2
  35. 35.Is 7/5 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −2/5 or 3/8? (a) 3/8 (b) −2/5
  37. 37.What is (−1/9) − (−2/5)? (a) −23/45 (b) 1/14 (c) −13/45 (d) 13/45
  38. 38.What is (−2/3) + 1/7? (a) −17/21 (b) −1/10 (c) −11/21 (d) 11/21
  39. 39.Which is bigger: −1/2 or −7/9? (a) −1/2 (b) −7/9
  40. 40.Which is bigger: −1/4 or 3/5? (a) 3/5 (b) −1/4

Answer key

  1. −1/6
  2. −2/7
  3. Negative
  4. −5/8
  5. −7
  6. −3/5
  7. −3/14
  8. −3/7
  9. Negative
  10. −13/36
  11. −5/9
  12. −1/7
  13. Negative
  14. 7/3
  15. 5/56
  16. Negative
  17. 1/5
  18. 1/3
  19. 19/18
  20. −4/5
  21. −4/9
  22. −2/3
  23. −1/3
  24. −29/63
  25. 11/18
  26. −5/9
  27. Negative
  28. Negative
  29. Positive
  30. −5/9
  31. Positive
  32. −2/5
  33. 8/9
  34. 1/2
  35. Positive
  36. 3/8
  37. 13/45
  38. −11/21
  39. −1/2
  40. 3/5

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