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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 274 · 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 (−4/9) − 4/7? (a) 64/63 (b) −64/63 (c) −1/2 (d) 8/63
  2. 2.What is the additive inverse of −8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  3. 3.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −25/40 (d) −8/5
  4. 4.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/9 (c) −1/3 (d) −3/1
  5. 5.Is 7/6 positive or negative? (a) Positive (b) Negative
  6. 6.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  7. 7.Write −6/27 in standard form (lowest terms, positive denominator). (a) −6/27 (b) 2/9 (c) −2/9 (d) −9/2
  8. 8.Is −1/3 positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −2/5 or −1/3? (a) −2/5 (b) −1/3
  10. 10.Is −6/2 positive or negative? (a) Negative (b) Positive
  11. 11.Is 5/3 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−2/3) − 3/8? (a) −25/24 (b) −7/24 (c) 25/24 (d) −5/11
  13. 13.Which is smaller: −1/7 or −8/9? (a) −1/7 (b) −8/9
  14. 14.Write −6/18 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −6/18
  15. 15.Is 8/6 positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  17. 17.Is 8/4 positive or negative? (a) Positive (b) Negative
  18. 18.Which is bigger: −3/5 or 3/4? (a) −3/5 (b) 3/4
  19. 19.What is (−1/5) − (−4/9)? (a) −29/45 (b) −11/45 (c) 3/14 (d) 11/45
  20. 20.Which is bigger: −3/5 or 5/7? (a) 5/7 (b) −3/5
  21. 21.Which is bigger: −3/4 or 1/9? (a) 1/9 (b) −3/4
  22. 22.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) −3/2 (c) 2/3 (d) −2/3
  23. 23.What is 5/7 − (−4/7)? (a) 9/14 (b) 9/7 (c) 1/7 (d) −9/7
  24. 24.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −12/27 (d) −9/4
  26. 26.Which is bigger: −5/9 or −1/8? (a) −5/9 (b) −1/8
  27. 27.What is the additive inverse of 3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  28. 28.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −5/6 (d) −30/36
  29. 29.What is (−2/3) + 4/9? (a) 2/9 (b) 1/6 (c) −10/9 (d) −2/9
  30. 30.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) −9/5 (c) 9/5 (d) 5/9
  31. 31.Is 5/6 positive or negative? (a) Negative (b) Positive
  32. 32.Write −6/24 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −6/24 (c) 1/4 (d) −1/4
  33. 33.Is −9/5 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−5/9) + 1/9? (a) −4/9 (b) −2/9 (c) 4/9 (d) −2/3
  35. 35.What is (−1/2) − 3/4? (a) 5/4 (b) −2/3 (c) −5/4 (d) 1/4
  36. 36.What is (−6/7) − (−1/3)? (a) −11/21 (b) −1/2 (c) −25/21 (d) 11/21
  37. 37.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  38. 38.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  39. 39.What is (−1/9) + (−3/4)? (a) −31/36 (b) 31/36 (c) 23/36 (d) −4/13
  40. 40.Is −8/(−4) positive or negative? (a) Negative (b) Positive

Answer key

  1. −64/63
  2. 8/9
  3. −5/8
  4. −1/3
  5. Positive
  6. Negative
  7. −2/9
  8. Negative
  9. −2/5
  10. Negative
  11. Positive
  12. −25/24
  13. −8/9
  14. −1/3
  15. Positive
  16. 4
  17. Positive
  18. 3/4
  19. 11/45
  20. 5/7
  21. 1/9
  22. −2/3
  23. 9/7
  24. Negative
  25. −4/9
  26. −1/8
  27. −3/4
  28. −5/6
  29. −2/9
  30. −9/5
  31. Positive
  32. −1/4
  33. Negative
  34. −4/9
  35. −5/4
  36. −11/21
  37. Positive
  38. 6
  39. −31/36
  40. Positive

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