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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 906 · 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 (−5/9) + 7/9? (a) −4/3 (b) 1/9 (c) 2/9 (d) −2/9
  2. 2.Which is smaller: −3/7 or 6/7? (a) −3/7 (b) 6/7
  3. 3.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  4. 4.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  5. 5.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −8/12
  6. 6.Is 4/5 positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) −6/5 (c) −5/6 (d) 6/5
  8. 8.Is 2/2 positive or negative? (a) Positive (b) Negative
  9. 9.What is (−1/7) + 1/2? (a) −5/14 (b) 5/14 (c) −9/14 (d) 0
  10. 10.What is (−5/7) + 1/6? (a) 23/42 (b) −37/42 (c) −4/13 (d) −23/42
  11. 11.Write −2/8 in standard form (lowest terms, positive denominator). (a) −2/8 (b) 1/4 (c) −1/4 (d) −4/1
  12. 12.Is −7/7 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−4/7) + (−2/3)? (a) 2/21 (b) 26/21 (c) −3/5 (d) −26/21
  14. 14.What is 3/4 − (−2/7)? (a) 13/28 (b) −29/28 (c) 5/11 (d) 29/28
  15. 15.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  16. 16.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) −5/2 (c) −2/5 (d) 2/5
  17. 17.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  18. 18.Which is bigger: −1/5 or −5/6? (a) −5/6 (b) −1/5
  19. 19.Which is smaller: −2/7 or 1/7? (a) −2/7 (b) 1/7
  20. 20.What is (−1/9) − 3/7? (a) 34/63 (b) 20/63 (c) −34/63 (d) −1/4
  21. 21.What is (−5/9) + (−7/8)? (a) 23/72 (b) −12/17 (c) 103/72 (d) −103/72
  22. 22.Is 1/9 positive or negative? (a) Negative (b) Positive
  23. 23.Which is bigger: −1/6 or 5/9? (a) 5/9 (b) −1/6
  24. 24.What is the additive inverse of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  25. 25.What is (−1/7) − 3/8? (a) −29/56 (b) −4/15 (c) 13/56 (d) 29/56
  26. 26.Is 4/(−4) positive or negative? (a) Negative (b) Positive
  27. 27.What is (−3/5) − (−5/9)? (a) −52/45 (b) −2/45 (c) 1/7 (d) 2/45
  28. 28.Which is smaller: −3/7 or 1/9? (a) 1/9 (b) −3/7
  29. 29.Which is bigger: −6/7 or −1/5? (a) −1/5 (b) −6/7
  30. 30.What is 8/9 + (−1/3)? (a) 7/12 (b) 5/9 (c) 11/9 (d) −5/9
  31. 31.Which is bigger: −1/3 or 2/7? (a) 2/7 (b) −1/3
  32. 32.What is (−3/8) + (−1/4)? (a) 5/8 (b) −1/8 (c) −1/3 (d) −5/8
  33. 33.What is 2/9 + (−5/8)? (a) −29/72 (b) −3/17 (c) 61/72 (d) 29/72
  34. 34.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 5/7 (c) −7/5 (d) 7/5
  35. 35.What is (−1/2) + 3/5? (a) 2/7 (b) −1/10 (c) −11/10 (d) 1/10
  36. 36.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −14/16 (c) −8/7 (d) 7/8
  37. 37.What is (−1/7) − (−1/4)? (a) 3/28 (b) −11/28 (c) 0 (d) −3/28
  38. 38.What is the additive inverse of 7/8? (a) −7/8 (b) −8/7 (c) 7/8 (d) 8/7
  39. 39.Which is bigger: −5/8 or −1/8? (a) −5/8 (b) −1/8
  40. 40.What is (−1/5) − (−4/9)? (a) −29/45 (b) 11/45 (c) 3/14 (d) −11/45

Answer key

  1. 2/9
  2. −3/7
  3. Negative
  4. 7/6
  5. −2/3
  6. Positive
  7. 6/5
  8. Positive
  9. 5/14
  10. −23/42
  11. −1/4
  12. Negative
  13. −26/21
  14. 29/28
  15. Positive
  16. −2/5
  17. Positive
  18. −1/5
  19. −2/7
  20. −34/63
  21. −103/72
  22. Positive
  23. 5/9
  24. −6/7
  25. −29/56
  26. Negative
  27. −2/45
  28. −3/7
  29. −1/5
  30. 5/9
  31. 2/7
  32. −5/8
  33. −29/72
  34. 7/5
  35. 1/10
  36. −7/8
  37. 3/28
  38. −7/8
  39. −1/8
  40. 11/45

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