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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 506 · 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.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) −1/4 (d) 1/4
  2. 2.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  3. 3.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −28/32 (d) −8/7
  4. 4.Which is smaller: −5/7 or −3/5? (a) −3/5 (b) −5/7
  5. 5.What is (−6/7) − 2/5? (a) −2/3 (b) −44/35 (c) 44/35 (d) −16/35
  6. 6.Which is bigger: −1/5 or 3/4? (a) −1/5 (b) 3/4
  7. 7.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −5/40 (c) −8/1 (d) −1/8
  8. 8.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −4/12 (d) −1/3
  9. 9.Write −5/40 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −1/8 (d) −5/40
  10. 10.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  11. 11.Is −3/5 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−2/5) + (−1/2)? (a) 1/10 (b) 9/10 (c) −3/7 (d) −9/10
  13. 13.Which is bigger: −2/9 or −1/5? (a) −2/9 (b) −1/5
  14. 14.What is (−1/3) − 1/5? (a) −2/15 (b) 8/15 (c) −1/4 (d) −8/15
  15. 15.What is the additive inverse of −2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  16. 16.Write −6/24 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −6/24 (c) −1/4 (d) 1/4
  17. 17.What is the reciprocal (multiplicative inverse) of 1/9? (a) 9 (b) 1/9 (c) −9 (d) −1/9
  18. 18.What is the additive inverse of 7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  19. 19.Is 1/9 positive or negative? (a) Positive (b) Negative
  20. 20.What is the additive inverse of −3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3
  21. 21.Which is smaller: −1/4 or −1/3? (a) −1/4 (b) −1/3
  22. 22.What is (−3/8) + (−5/8)? (a) 1 (b) −1/2 (c) 1/4 (d) −1
  23. 23.Is 3/5 positive or negative? (a) Negative (b) Positive
  24. 24.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −2/10
  25. 25.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) 1/2 (c) −1/2 (d) −2/1
  26. 26.What is (−1/3) + 4/7? (a) −5/21 (b) −19/21 (c) 5/21 (d) 3/10
  27. 27.Is 7/6 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−2/5) + 5/8? (a) −9/40 (b) 3/13 (c) 9/40 (d) −41/40
  29. 29.What is (−7/8) − 5/7? (a) 89/56 (b) −4/5 (c) −9/56 (d) −89/56
  30. 30.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  31. 31.What is (−1/4) + 5/7? (a) −27/28 (b) 4/11 (c) −13/28 (d) 13/28
  32. 32.What is (−4/5) + 3/4? (a) −31/20 (b) −1/9 (c) 1/20 (d) −1/20
  33. 33.Which is smaller: −2/5 or 5/7? (a) 5/7 (b) −2/5
  34. 34.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −18/48 (d) −3/8
  35. 35.What is (−4/5) + (−1/5)? (a) −3/5 (b) 1 (c) −1 (d) −1/2
  36. 36.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −15/24 (c) 5/8 (d) −5/8
  37. 37.What is (−7/9) + (−1/9)? (a) −4/9 (b) 8/9 (c) −2/3 (d) −8/9
  38. 38.What is 1/2 + (−4/9)? (a) −1/18 (b) −3/11 (c) 17/18 (d) 1/18
  39. 39.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  40. 40.Write −8/18 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −8/18 (d) −4/9

Answer key

  1. −1/4
  2. −2/5
  3. −7/8
  4. −5/7
  5. −44/35
  6. 3/4
  7. −1/8
  8. −1/3
  9. −1/8
  10. Positive
  11. Negative
  12. −9/10
  13. −1/5
  14. −8/15
  15. 2/3
  16. −1/4
  17. 9
  18. −7/8
  19. Positive
  20. 3/5
  21. −1/3
  22. −1
  23. Positive
  24. −1/5
  25. −1/2
  26. 5/21
  27. Positive
  28. 9/40
  29. −89/56
  30. Positive
  31. 13/28
  32. −1/20
  33. −2/5
  34. −3/8
  35. −1
  36. −5/8
  37. −8/9
  38. 1/18
  39. Positive
  40. −4/9

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