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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 815 · 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 1/6 positive or negative? (a) Negative (b) Positive
  2. 2.Is −7/(−4) positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −3/7 or −1/5? (a) −1/5 (b) −3/7
  4. 4.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −48/54 (d) 8/9
  5. 5.Which is bigger: −1/8 or 3/8? (a) −1/8 (b) 3/8
  6. 6.What is (−2/5) + 5/8? (a) 9/40 (b) −9/40 (c) 3/13 (d) −41/40
  7. 7.Which is smaller: −1/2 or 1/3? (a) 1/3 (b) −1/2
  8. 8.Write −3/12 in standard form (lowest terms, positive denominator). (a) −3/12 (b) −4/1 (c) −1/4 (d) 1/4
  9. 9.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) −3/1 (c) −1/3 (d) 1/3
  10. 10.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  11. 11.What is the additive inverse of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  12. 12.What is (−4/9) − 4/5? (a) −4/7 (b) −56/45 (c) 56/45 (d) 16/45
  13. 13.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  14. 14.Which is smaller: −3/7 or −4/9? (a) −3/7 (b) −4/9
  15. 15.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −3/24 (b) 1/8 (c) −1/8 (d) −8/1
  16. 16.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −20/45 (c) 4/9 (d) −4/9
  17. 17.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −5/45 (c) −1/9 (d) 1/9
  18. 18.Is −1/2 positive or negative? (a) Positive (b) Negative
  19. 19.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7
  20. 20.Which is bigger: −4/7 or −1/4? (a) −1/4 (b) −4/7
  21. 21.Which is bigger: −2/3 or −3/4? (a) −3/4 (b) −2/3
  22. 22.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −6/21 (d) −2/7
  23. 23.What is 5/7 + (−1/5)? (a) 1/3 (b) −18/35 (c) 18/35 (d) 32/35
  24. 24.What is (−7/9) − 2/3? (a) −3/4 (b) −13/9 (c) −1/9 (d) 13/9
  25. 25.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −6/48 (d) −1/8
  26. 26.What is the additive inverse of −1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  27. 27.Which is bigger: −3/5 or −1/9? (a) −1/9 (b) −3/5
  28. 28.What is 1/4 − (−1/2)? (a) −1/4 (b) −3/4 (c) 1/3 (d) 3/4
  29. 29.Which is smaller: −2/5 or 2/9? (a) 2/9 (b) −2/5
  30. 30.Is 9/5 positive or negative? (a) Negative (b) Positive
  31. 31.Write −3/21 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −3/21 (c) −1/7 (d) 1/7
  32. 32.Write −35/45 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −35/45 (d) 7/9
  33. 33.What is (−2/3) − (−1/2)? (a) 1/6 (b) −1/6 (c) −7/6 (d) −1/5
  34. 34.What is (−5/8) − 1/7? (a) −27/56 (b) 43/56 (c) −2/5 (d) −43/56
  35. 35.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  36. 36.What is the additive inverse of 5/6? (a) 6/5 (b) 5/6 (c) −6/5 (d) −5/6
  37. 37.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  38. 38.Which is bigger: −1/9 or −1/5? (a) −1/5 (b) −1/9
  39. 39.What is 3/8 + (−7/8)? (a) 5/4 (b) 1/2 (c) −1/2 (d) −1/4
  40. 40.Which is smaller: −1/9 or −6/7? (a) −6/7 (b) −1/9

Answer key

  1. Positive
  2. Positive
  3. −1/5
  4. −8/9
  5. 3/8
  6. 9/40
  7. −1/2
  8. −1/4
  9. −1/3
  10. Positive
  11. 2/9
  12. −56/45
  13. 7/4
  14. −4/9
  15. −1/8
  16. −4/9
  17. −1/9
  18. Negative
  19. −8/7
  20. −1/4
  21. −2/3
  22. −2/7
  23. 18/35
  24. −13/9
  25. −1/8
  26. 1/7
  27. −1/9
  28. 3/4
  29. −2/5
  30. Positive
  31. −1/7
  32. −7/9
  33. −1/6
  34. −43/56
  35. 4/3
  36. −5/6
  37. 5
  38. −1/9
  39. −1/2
  40. −6/7

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