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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 744 · 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.Is 4/3 positive or negative? (a) Negative (b) Positive
  2. 2.What is the additive inverse of 3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  3. 3.Which is bigger: −1/7 or 1/2? (a) 1/2 (b) −1/7
  4. 4.Which is bigger: −5/6 or −1/7? (a) −5/6 (b) −1/7
  5. 5.What is 1/4 − (−4/9)? (a) −25/36 (b) −7/36 (c) 5/13 (d) 25/36
  6. 6.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −20/45
  7. 7.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −12/27 (c) −4/9 (d) 4/9
  8. 8.Is −9/(−2) positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −1/7 or 7/8? (a) 7/8 (b) −1/7
  10. 10.Which is bigger: −7/9 or −4/9? (a) −4/9 (b) −7/9
  11. 11.Which is smaller: −3/5 or −7/8? (a) −3/5 (b) −7/8
  12. 12.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −5/15
  13. 13.Is 3/8 positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −3/4 or −7/9? (a) −7/9 (b) −3/4
  15. 15.What is (−1/4) + (−2/3)? (a) −3/7 (b) 5/12 (c) −11/12 (d) 11/12
  16. 16.What is 2/3 − (−1/3)? (a) 1/3 (b) −1 (c) 1/2 (d) 1
  17. 17.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  18. 18.What is (−1/4) − 1/9? (a) 13/36 (b) −5/36 (c) −13/36 (d) −2/13
  19. 19.Is 9/4 positive or negative? (a) Negative (b) Positive
  20. 20.Is −2/8 positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −4/5 or −1/3? (a) −4/5 (b) −1/3
  22. 22.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  23. 23.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  24. 24.Which is bigger: −1/4 or −5/8? (a) −5/8 (b) −1/4
  25. 25.Write −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) 8/9 (c) −8/9 (d) −9/8
  26. 26.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  27. 27.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −6/27 (d) −9/2
  28. 28.What is (−1/3) + 7/9? (a) 1/2 (b) −10/9 (c) −4/9 (d) 4/9
  29. 29.Write −12/21 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −12/21 (d) −4/7
  30. 30.What is (−2/5) + 3/4? (a) −23/20 (b) 1/9 (c) 7/20 (d) −7/20
  31. 31.Which is bigger: −3/8 or −2/5? (a) −3/8 (b) −2/5
  32. 32.What is 5/7 + (−5/9)? (a) 0 (b) 80/63 (c) −10/63 (d) 10/63
  33. 33.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −3/15
  34. 34.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  35. 35.What is (−1/9) + 3/7? (a) 20/63 (b) −34/63 (c) 1/8 (d) −20/63
  36. 36.What is the reciprocal (multiplicative inverse) of −7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  37. 37.Which is bigger: −1/6 or −5/6? (a) −1/6 (b) −5/6
  38. 38.Which is smaller: −5/6 or −3/4? (a) −5/6 (b) −3/4
  39. 39.What is 1/5 − (−2/3)? (a) −13/15 (b) 3/8 (c) 13/15 (d) −7/15
  40. 40.What is (−1/6) − (−7/9)? (a) −11/18 (b) 11/18 (c) −17/18 (d) 2/5

Answer key

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

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