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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 585 · 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: −2/3 or −5/6? (a) −2/3 (b) −5/6
  2. 2.Write −12/14 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −12/14 (d) −7/6
  3. 3.Write −8/18 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −8/18 (c) −9/4 (d) 4/9
  4. 4.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −2/6 (d) −3/1
  5. 5.Which is bigger: −2/9 or 4/5? (a) 4/5 (b) −2/9
  6. 6.What is (−3/4) + 4/9? (a) 1/13 (b) 11/36 (c) −43/36 (d) −11/36
  7. 7.Is 4/5 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−4/5) − 1/5? (a) −3/5 (b) −1 (c) −1/2 (d) 1
  9. 9.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −4/12 (d) 1/3
  10. 10.Which is bigger: −7/8 or 1/8? (a) −7/8 (b) 1/8
  11. 11.Which is bigger: −2/5 or 5/8? (a) −2/5 (b) 5/8
  12. 12.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  13. 13.What is (−3/8) − 1/3? (a) −17/24 (b) −1/24 (c) −4/11 (d) 17/24
  14. 14.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) −1/5 (c) 1/5 (d) −5/1
  15. 15.What is (−5/9) + 2/5? (a) −43/45 (b) 7/45 (c) −3/14 (d) −7/45
  16. 16.Which is smaller: −2/3 or −5/6? (a) −5/6 (b) −2/3
  17. 17.Which is bigger: −2/9 or 3/5? (a) −2/9 (b) 3/5
  18. 18.Is −3/6 positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −3/8 or 2/9? (a) −3/8 (b) 2/9
  20. 20.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  21. 21.Which is bigger: −3/5 or −1/7? (a) −1/7 (b) −3/5
  22. 22.What is (−2/7) − (−1/4)? (a) −1/11 (b) 1/28 (c) −1/28 (d) −15/28
  23. 23.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −20/35 (c) −7/4 (d) −4/7
  24. 24.What is 3/8 + (−6/7)? (a) −27/56 (b) 69/56 (c) −1/5 (d) 27/56
  25. 25.What is (−2/3) − 1/4? (a) 11/12 (b) −3/7 (c) −5/12 (d) −11/12
  26. 26.Which is smaller: −3/8 or −4/7? (a) −4/7 (b) −3/8
  27. 27.Which is smaller: −1/3 or −2/7? (a) −2/7 (b) −1/3
  28. 28.Is 2/2 positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) 4/5 (c) −4/5 (d) 5/4
  30. 30.Which is bigger: −7/9 or −1/8? (a) −7/9 (b) −1/8
  31. 31.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) 9/4 (c) −4/9 (d) 4/9
  32. 32.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −48/54 (c) 8/9 (d) −8/9
  33. 33.Is −1/9 positive or negative? (a) Positive (b) Negative
  34. 34.Is 4/(−8) positive or negative? (a) Positive (b) Negative
  35. 35.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) −7/4 (c) −4/7 (d) 4/7
  36. 36.What is (−1/5) + (−1/6)? (a) −11/30 (b) −2/11 (c) 11/30 (d) −1/30
  37. 37.Is −2/2 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−3/8) − 1/8? (a) −1/4 (b) −1/2 (c) 1/2
  39. 39.Is 6/4 positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of −5/8? (a) 8/5 (b) 5/8 (c) −5/8 (d) −8/5

Answer key

  1. −2/3
  2. −6/7
  3. −4/9
  4. −1/3
  5. 4/5
  6. −11/36
  7. Positive
  8. −1
  9. −1/3
  10. 1/8
  11. 5/8
  12. 4/3
  13. −17/24
  14. −1/5
  15. −7/45
  16. −5/6
  17. 3/5
  18. Negative
  19. 2/9
  20. Negative
  21. −1/7
  22. −1/28
  23. −4/7
  24. −27/56
  25. −11/12
  26. −4/7
  27. −1/3
  28. Positive
  29. 5/4
  30. −1/8
  31. 9/4
  32. −8/9
  33. Negative
  34. Negative
  35. −4/7
  36. −11/30
  37. Negative
  38. −1/2
  39. Positive
  40. 5/8

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