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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 899 · 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 3/4? (a) −8/9 (b) 3/4
  2. 2.Which is bigger: −1/3 or −3/4? (a) −3/4 (b) −1/3
  3. 3.Is −3/2 positive or negative? (a) Negative (b) Positive
  4. 4.What is 3/4 + (−4/7)? (a) −5/28 (b) 5/28 (c) −1/11 (d) 37/28
  5. 5.What is 7/8 − (−3/4)? (a) −13/8 (b) 1/8 (c) 5/6 (d) 13/8
  6. 6.What is (−1/3) − 1/4? (a) 7/12 (b) −1/12 (c) −2/7 (d) −7/12
  7. 7.Which is bigger: −3/4 or −6/7? (a) −3/4 (b) −6/7
  8. 8.What is (−2/7) − (−2/3)? (a) −20/21 (b) 0 (c) −8/21 (d) 8/21
  9. 9.What is the additive inverse of 4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  10. 10.What is 1/3 + (−2/3)? (a) −1/6 (b) 1/3 (c) 1 (d) −1/3
  11. 11.What is the reciprocal (multiplicative inverse) of −1/7? (a) −1/7 (b) −7 (c) 7 (d) 1/7
  12. 12.What is (−8/9) + (−1/4)? (a) −9/13 (b) −41/36 (c) −23/36 (d) 41/36
  13. 13.What is the additive inverse of −1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  14. 14.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  15. 15.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  16. 16.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −4/12 (c) −1/3 (d) 1/3
  17. 17.What is 3/4 − (−1/2)? (a) 5/4 (b) 2/3 (c) −5/4 (d) 1/4
  18. 18.What is 1/3 + (−2/7)? (a) −1/10 (b) 13/21 (c) −1/21 (d) 1/21
  19. 19.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −21/24
  20. 20.Which is bigger: −2/7 or −4/7? (a) −4/7 (b) −2/7
  21. 21.Which is smaller: −3/4 or −1/5? (a) −1/5 (b) −3/4
  22. 22.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  23. 23.What is the additive inverse of −2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  24. 24.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −6/21 (c) 2/7 (d) −7/2
  25. 25.What is 2/9 + (−1/9)? (a) 1/3 (b) −1/9 (c) 1/18 (d) 1/9
  26. 26.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −15/18 (d) −6/5
  28. 28.What is 1/4 − (−8/9)? (a) −41/36 (b) −23/36 (c) 9/13 (d) 41/36
  29. 29.What is (−2/5) + 2/9? (a) 8/45 (b) 0 (c) −8/45 (d) −28/45
  30. 30.Is 5/6 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−3/4) + 1/3? (a) −2/7 (b) −5/12 (c) −13/12 (d) 5/12
  32. 32.What is (−1/9) + (−8/9)? (a) −1 (b) −1/2 (c) 1 (d) 7/9
  33. 33.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  34. 34.What is the additive inverse of −5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  35. 35.Is −1/9 positive or negative? (a) Positive (b) Negative
  36. 36.What is 1/3 − (−3/7)? (a) −16/21 (b) 2/5 (c) −2/21 (d) 16/21
  37. 37.Is 8/(−2) positive or negative? (a) Negative (b) Positive
  38. 38.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  39. 39.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) −3/7 (c) −7/3 (d) 3/7
  40. 40.Which is smaller: −4/9 or −2/3? (a) −2/3 (b) −4/9

Answer key

  1. −8/9
  2. −1/3
  3. Negative
  4. 5/28
  5. 13/8
  6. −7/12
  7. −3/4
  8. 8/21
  9. −4/9
  10. −1/3
  11. −7
  12. −41/36
  13. 1/2
  14. −8/7
  15. −3/2
  16. −1/3
  17. 5/4
  18. 1/21
  19. −7/8
  20. −2/7
  21. −3/4
  22. 8/5
  23. 2/9
  24. −2/7
  25. 1/9
  26. Negative
  27. −5/6
  28. 41/36
  29. −8/45
  30. Positive
  31. −5/12
  32. −1
  33. 8/7
  34. 5/9
  35. Negative
  36. 16/21
  37. Negative
  38. Positive
  39. 7/3
  40. −2/3

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