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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 676 · 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 6/7 + (−5/7)? (a) −1/7 (b) 1/7 (c) 1/14 (d) 11/7
  2. 2.What is the additive inverse of −3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  3. 3.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  4. 4.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) −1/8 (c) 1/8 (d) −8
  5. 5.Write −4/10 in standard form (lowest terms, positive denominator). (a) −4/10 (b) 2/5 (c) −5/2 (d) −2/5
  6. 6.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) 3/7 (c) −3/7 (d) 7/3
  7. 7.What is (−1/3) − 1/3? (a) −1/3 (b) −2/3 (c) 0 (d) 2/3
  8. 8.Which is smaller: −1/7 or −2/9? (a) −2/9 (b) −1/7
  9. 9.Is −3/8 positive or negative? (a) Positive (b) Negative
  10. 10.What is 4/9 + (−4/9)? (a) 0 (b) 8/9
  11. 11.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  12. 12.Is 1/4 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−4/9) + 3/8? (a) −1/17 (b) −5/72 (c) −59/72 (d) 5/72
  14. 14.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  15. 15.What is (−7/9) + (−3/4)? (a) 55/36 (b) −1/36 (c) −55/36 (d) −10/13
  16. 16.What is 4/5 + (−1/4)? (a) 21/20 (b) 1/3 (c) −11/20 (d) 11/20
  17. 17.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  18. 18.Which is bigger: −2/7 or −5/7? (a) −2/7 (b) −5/7
  19. 19.What is (−1/3) − 8/9? (a) −3/4 (b) 5/9 (c) 11/9 (d) −11/9
  20. 20.What is 1/5 − (−1/3)? (a) 1/4 (b) 8/15 (c) −2/15 (d) −8/15
  21. 21.Write −15/21 in standard form (lowest terms, positive denominator). (a) −15/21 (b) −7/5 (c) −5/7 (d) 5/7
  22. 22.What is the additive inverse of 4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  23. 23.What is (−2/9) + 5/8? (a) 3/17 (b) 29/72 (c) −61/72 (d) −29/72
  24. 24.Is 8/5 positive or negative? (a) Negative (b) Positive
  25. 25.Write −6/21 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −6/21 (c) 2/7 (d) −2/7
  26. 26.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −8/5 (d) −25/40
  27. 27.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −5/40 (b) −8/1 (c) 1/8 (d) −1/8
  28. 28.What is 2/5 − (−2/9)? (a) −28/45 (b) 28/45 (c) 2/7 (d) 8/45
  29. 29.What is (−4/7) − 1/7? (a) −5/7 (b) −5/14 (c) −3/7 (d) 5/7
  30. 30.What is (−2/5) − 2/9? (a) −28/45 (b) −2/7 (c) 28/45 (d) −8/45
  31. 31.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −2/1 (d) −1/2
  32. 32.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  33. 33.Which is smaller: −2/3 or 3/5? (a) 3/5 (b) −2/3
  34. 34.Write −6/27 in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −9/2 (d) −6/27
  35. 35.Write −3/12 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −3/12 (c) −1/4 (d) −4/1
  36. 36.Which is bigger: −5/7 or −1/8? (a) −5/7 (b) −1/8
  37. 37.What is (−1/2) + 1/5? (a) −3/10 (b) 3/10 (c) −7/10 (d) 0
  38. 38.Which is bigger: −6/7 or −1/8? (a) −1/8 (b) −6/7
  39. 39.Which is smaller: −4/9 or −3/8? (a) −4/9 (b) −3/8
  40. 40.What is 4/9 + (−1/7)? (a) 37/63 (b) −19/63 (c) 3/16 (d) 19/63

Answer key

  1. 1/7
  2. 3/5
  3. −5/4
  4. 8
  5. −2/5
  6. 7/3
  7. −2/3
  8. −2/9
  9. Negative
  10. 0
  11. Negative
  12. Positive
  13. −5/72
  14. −2/7
  15. −55/36
  16. 11/20
  17. Positive
  18. −2/7
  19. −11/9
  20. 8/15
  21. −5/7
  22. −4/5
  23. 29/72
  24. Positive
  25. −2/7
  26. −5/8
  27. −1/8
  28. 28/45
  29. −5/7
  30. −28/45
  31. −1/2
  32. Positive
  33. −2/3
  34. −2/9
  35. −1/4
  36. −1/8
  37. −3/10
  38. −1/8
  39. −4/9
  40. 19/63

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