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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 877 · 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: −2/5 or −1/5? (a) −2/5 (b) −1/5
  2. 2.Which is smaller: −2/3 or 1/7? (a) −2/3 (b) 1/7
  3. 3.What is (−1/7) − (−3/4)? (a) 17/28 (b) −25/28 (c) 2/11 (d) −17/28
  4. 4.What is the additive inverse of −4/9? (a) −9/4 (b) 9/4 (c) −4/9 (d) 4/9
  5. 5.What is (−3/5) − (−1/6)? (a) −2/11 (b) −23/30 (c) −13/30 (d) 13/30
  6. 6.What is the additive inverse of −1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  7. 7.What is (−1/5) − 5/9? (a) 34/45 (b) 16/45 (c) −34/45 (d) −3/7
  8. 8.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  9. 9.Which is bigger: −1/3 or −7/8? (a) −1/3 (b) −7/8
  10. 10.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −6/24
  11. 11.What is the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  12. 12.Which is bigger: −1/6 or −2/5? (a) −2/5 (b) −1/6
  13. 13.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −1/8 or −5/9? (a) −5/9 (b) −1/8
  15. 15.What is the additive inverse of 5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  16. 16.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −8/18 (c) −4/9 (d) −9/4
  17. 17.What is (−1/8) + 3/8? (a) 1/4 (b) −1/2 (c) −1/4 (d) 1/8
  18. 18.What is (−5/8) − 4/9? (a) −77/72 (b) −13/72 (c) −9/17 (d) 77/72
  19. 19.Which is bigger: −1/9 or −4/7? (a) −4/7 (b) −1/9
  20. 20.What is 1/9 − (−2/5)? (a) −13/45 (b) 3/14 (c) 23/45 (d) −23/45
  21. 21.Which is smaller: −5/9 or 1/9? (a) 1/9 (b) −5/9
  22. 22.Which is bigger: −6/7 or 3/7? (a) −6/7 (b) 3/7
  23. 23.What is the additive inverse of −7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  24. 24.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −3/27
  25. 25.Which is smaller: −3/5 or −3/8? (a) −3/5 (b) −3/8
  26. 26.Which is bigger: −1/7 or 7/8? (a) 7/8 (b) −1/7
  27. 27.Write −20/45 in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −9/4 (d) −20/45
  28. 28.What is 7/8 − (−2/3)? (a) 37/24 (b) 5/24 (c) 9/11 (d) −37/24
  29. 29.What is 3/7 + (−1/9)? (a) 20/63 (b) 1/8 (c) −20/63 (d) 34/63
  30. 30.What is (−5/7) − 2/7? (a) −3/7 (b) 1 (c) −1/2 (d) −1
  31. 31.Which is bigger: −7/9 or 1/2? (a) 1/2 (b) −7/9
  32. 32.Which is smaller: −7/8 or −1/4? (a) −1/4 (b) −7/8
  33. 33.Is −8/3 positive or negative? (a) Positive (b) Negative
  34. 34.Which is smaller: −8/9 or −6/7? (a) −6/7 (b) −8/9
  35. 35.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  36. 36.What is (−1/5) + 2/5? (a) 1/10 (b) −1/5 (c) −3/5 (d) 1/5
  37. 37.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  38. 38.Write −8/18 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −8/18 (c) 4/9 (d) −9/4
  39. 39.What is (−5/9) − (−8/9)? (a) 1/3 (b) 1/6 (c) −13/9 (d) −1/3
  40. 40.What is the additive inverse of −5/9? (a) −5/9 (b) −9/5 (c) 9/5 (d) 5/9

Answer key

  1. −1/5
  2. −2/3
  3. 17/28
  4. 4/9
  5. −13/30
  6. 1/2
  7. −34/45
  8. −9/2
  9. −1/3
  10. −1/4
  11. −5/6
  12. −1/6
  13. Negative
  14. −1/8
  15. −5/7
  16. −4/9
  17. 1/4
  18. −77/72
  19. −1/9
  20. 23/45
  21. −5/9
  22. 3/7
  23. 7/8
  24. −1/9
  25. −3/5
  26. 7/8
  27. −4/9
  28. 37/24
  29. 20/63
  30. −1
  31. 1/2
  32. −7/8
  33. Negative
  34. −8/9
  35. 8/3
  36. 1/5
  37. −9/4
  38. −4/9
  39. 1/3
  40. 5/9

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