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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 17 · 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 smaller: −8/9 or −1/6? (a) −8/9 (b) −1/6
  2. 2.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  3. 3.What is the additive inverse of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  4. 4.Write −9/21 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −9/21 (c) 3/7 (d) −3/7
  5. 5.What is the additive inverse of 4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  6. 6.Is −7/(−3) positive or negative? (a) Positive (b) Negative
  7. 7.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  8. 8.What is the additive inverse of 1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  9. 9.Which is smaller: −1/5 or 1/6? (a) 1/6 (b) −1/5
  10. 10.Write −12/28 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −12/28 (c) −7/3 (d) 3/7
  11. 11.What is 3/4 + (−3/7)? (a) 33/28 (b) 0 (c) 9/28 (d) −9/28
  12. 12.What is (−1/5) − 4/5? (a) 3/5 (b) 1 (c) −1/2 (d) −1
  13. 13.What is (−1/6) − (−1/9)? (a) 1/18 (b) −5/18 (c) 0 (d) −1/18
  14. 14.Is 4/7 positive or negative? (a) Positive (b) Negative
  15. 15.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −5/3 (d) −3/5
  16. 16.Is 4/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−3/8) − (−3/7)? (a) 3/56 (b) 0 (c) −3/56 (d) −45/56
  18. 18.What is 2/9 − (−7/8)? (a) 79/72 (b) −47/72 (c) 9/17 (d) −79/72
  19. 19.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) −12/32 (d) 3/8
  20. 20.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−1/4) + 7/9? (a) −19/36 (b) 19/36 (c) 6/13 (d) −37/36
  22. 22.Which is bigger: −1/9 or −2/3? (a) −2/3 (b) −1/9
  23. 23.Write −2/8 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −2/8 (c) 1/4 (d) −4/1
  24. 24.What is (−1/9) − (−5/7)? (a) 1/4 (b) −52/63 (c) 38/63 (d) −38/63
  25. 25.What is 1/7 + (−1/2)? (a) 5/14 (b) 0 (c) −5/14 (d) 9/14
  26. 26.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.What is (−5/9) + 5/7? (a) −80/63 (b) 0 (c) 10/63 (d) −10/63
  28. 28.What is (−5/9) − 3/8? (a) −8/17 (b) −67/72 (c) −13/72 (d) 67/72
  29. 29.Write −15/27 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −15/27 (c) −5/9 (d) −9/5
  30. 30.What is (−1/2) + (−1/6)? (a) −1/3 (b) 2/3 (c) −1/4 (d) −2/3
  31. 31.What is (−2/7) − 1/3? (a) −3/10 (b) −13/21 (c) 13/21 (d) 1/21
  32. 32.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3
  33. 33.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  34. 34.Is 9/8 positive or negative? (a) Negative (b) Positive
  35. 35.What is (−1/9) − (−1/5)? (a) −4/45 (b) −14/45 (c) 0 (d) 4/45
  36. 36.Which is bigger: −1/7 or −1/2? (a) −1/2 (b) −1/7
  37. 37.What is (−4/5) + (−3/4)? (a) −31/20 (b) −1/20 (c) 31/20 (d) −7/9
  38. 38.Which is smaller: −1/4 or −4/7? (a) −4/7 (b) −1/4
  39. 39.What is 1/6 + (−1/5)? (a) 1/30 (b) 0 (c) 11/30 (d) −1/30
  40. 40.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −15/24 (d) 5/8

Answer key

  1. −8/9
  2. −9/4
  3. 2/7
  4. −3/7
  5. −4/7
  6. Positive
  7. −2/5
  8. −1/9
  9. −1/5
  10. −3/7
  11. 9/28
  12. −1
  13. −1/18
  14. Positive
  15. −3/5
  16. Negative
  17. 3/56
  18. 79/72
  19. −3/8
  20. Negative
  21. 19/36
  22. −1/9
  23. −1/4
  24. 38/63
  25. −5/14
  26. Positive
  27. 10/63
  28. −67/72
  29. −5/9
  30. −2/3
  31. −13/21
  32. −5/3
  33. 3/2
  34. Positive
  35. 4/45
  36. −1/7
  37. −31/20
  38. −4/7
  39. −1/30
  40. −5/8

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