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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 696 · 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 bigger: −1/6 or 6/7? (a) 6/7 (b) −1/6
  2. 2.Which is bigger: −3/5 or −1/9? (a) −1/9 (b) −3/5
  3. 3.Is −7/7 positive or negative? (a) Negative (b) Positive
  4. 4.Which is bigger: −1/5 or −2/9? (a) −1/5 (b) −2/9
  5. 5.Which is smaller: −5/9 or −2/3? (a) −5/9 (b) −2/3
  6. 6.Which is bigger: −3/8 or −5/6? (a) −5/6 (b) −3/8
  7. 7.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  8. 8.Which is bigger: −2/5 or 8/9? (a) 8/9 (b) −2/5
  9. 9.What is (−5/7) + (−1/4)? (a) −6/11 (b) −13/28 (c) −27/28 (d) 27/28
  10. 10.What is (−3/5) − 5/8? (a) −49/40 (b) −8/13 (c) 1/40 (d) 49/40
  11. 11.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −30/42
  12. 12.What is the additive inverse of −1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  13. 13.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −24/42 (c) −7/4 (d) −4/7
  14. 14.What is (−7/9) + (−3/5)? (a) 62/45 (b) −8/45 (c) −62/45 (d) −5/7
  15. 15.What is (−4/7) − (−8/9)? (a) −20/63 (b) −92/63 (c) 1/4 (d) 20/63
  16. 16.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −21/24
  17. 17.What is the additive inverse of −5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  18. 18.What is 5/7 + (−1/2)? (a) 3/14 (b) 4/9 (c) −3/14 (d) 17/14
  19. 19.Which is smaller: −4/7 or −1/9? (a) −4/7 (b) −1/9
  20. 20.What is 3/8 − (−3/4)? (a) −3/8 (b) 9/8 (c) −9/8 (d) 1/2
  21. 21.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  22. 22.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  23. 23.What is (−2/3) − (−5/9)? (a) −11/9 (b) 1/4 (c) 1/9 (d) −1/9
  24. 24.Is 8/6 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−3/4) + 1/8? (a) 5/8 (b) −7/8 (c) −1/6 (d) −5/8
  26. 26.What is (−5/6) − (−1/2)? (a) −1/2 (b) 1/3 (c) −4/3 (d) −1/3
  27. 27.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −4/7 (c) 4/7 (d) −7/4
  28. 28.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) 3/8 (c) −3/8 (d) −8/3
  29. 29.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −6/27 (c) 2/9 (d) −9/2
  30. 30.Write −2/10 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) −2/10 (d) 1/5
  31. 31.What is the additive inverse of 3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  32. 32.Which is bigger: −5/8 or −1/7? (a) −5/8 (b) −1/7
  33. 33.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −2/6
  34. 34.What is 3/5 − (−2/9)? (a) 37/45 (b) −37/45 (c) 17/45 (d) 5/14
  35. 35.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −1/2 or −5/6? (a) −5/6 (b) −1/2
  37. 37.Write −6/16 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −6/16 (c) 3/8 (d) −8/3
  38. 38.Is 7/5 positive or negative? (a) Negative (b) Positive
  39. 39.What is 1/9 + (−5/6)? (a) 13/18 (b) −4/15 (c) −13/18 (d) 17/18
  40. 40.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3

Answer key

  1. 6/7
  2. −1/9
  3. Negative
  4. −1/5
  5. −2/3
  6. −3/8
  7. −4
  8. 8/9
  9. −27/28
  10. −49/40
  11. −5/7
  12. 1/8
  13. −4/7
  14. −62/45
  15. 20/63
  16. −7/8
  17. 5/6
  18. 3/14
  19. −4/7
  20. 9/8
  21. −8/7
  22. Positive
  23. −1/9
  24. Positive
  25. −5/8
  26. −1/3
  27. −7/4
  28. −3/8
  29. −2/9
  30. −1/5
  31. −3/7
  32. −1/7
  33. −1/3
  34. 37/45
  35. Positive
  36. −1/2
  37. −3/8
  38. Positive
  39. −13/18
  40. −3/5

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