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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 614 · 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.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) −5/9 (d) 5/9
  2. 2.Is 8/3 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−5/8) − 7/8? (a) 3/2 (b) −3/2 (c) 1/4 (d) −3/4
  4. 4.What is (−3/8) − 2/3? (a) 7/24 (b) 25/24 (c) −5/11 (d) −25/24
  5. 5.Which is smaller: −1/3 or 3/7? (a) 3/7 (b) −1/3
  6. 6.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −1/7 (d) −3/21
  7. 7.Is 4/5 positive or negative? (a) Negative (b) Positive
  8. 8.Is −5/2 positive or negative? (a) Positive (b) Negative
  9. 9.What is 2/5 − (−1/3)? (a) 1/15 (b) −11/15 (c) 3/8 (d) 11/15
  10. 10.Which is smaller: −8/9 or 2/3? (a) −8/9 (b) 2/3
  11. 11.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  12. 12.Which is smaller: −1/9 or 3/7? (a) −1/9 (b) 3/7
  13. 13.Which is smaller: −7/9 or −2/9? (a) −7/9 (b) −2/9
  14. 14.What is (−4/7) + 4/9? (a) 0 (b) −8/63 (c) −64/63 (d) 8/63
  15. 15.Write −24/54 in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −24/54 (d) −9/4
  16. 16.What is (−4/9) + 5/7? (a) 1/16 (b) −73/63 (c) 17/63 (d) −17/63
  17. 17.Is 1/2 positive or negative? (a) Negative (b) Positive
  18. 18.Which is smaller: −2/7 or −3/8? (a) −3/8 (b) −2/7
  19. 19.Which is bigger: −1/5 or −2/5? (a) −2/5 (b) −1/5
  20. 20.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −6/10 (c) −3/5 (d) 3/5
  21. 21.Which is bigger: −2/5 or −4/9? (a) −4/9 (b) −2/5
  22. 22.What is the additive inverse of −7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  23. 23.What is 5/8 + (−5/6)? (a) −5/24 (b) 0 (c) 35/24 (d) 5/24
  24. 24.Is 4/(−2) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−2/5) − (−5/6)? (a) 13/30 (b) −13/30 (c) −37/30 (d) 3/11
  26. 26.What is 3/5 − (−2/7)? (a) −31/35 (b) 11/35 (c) 31/35 (d) 5/12
  27. 27.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −6/21 (b) −7/2 (c) −2/7 (d) 2/7
  28. 28.What is (−1/3) − 5/8? (a) 7/24 (b) 23/24 (c) −6/11 (d) −23/24
  29. 29.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −1/4 or 4/9? (a) 4/9 (b) −1/4
  31. 31.What is (−1/8) − (−1/2)? (a) 3/8 (b) −3/8 (c) −5/8 (d) 0
  32. 32.Is −3/3 positive or negative? (a) Negative (b) Positive
  33. 33.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −8/14
  34. 34.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −3/9 (c) −1/3 (d) 1/3
  35. 35.Which is bigger: −2/5 or −5/8? (a) −5/8 (b) −2/5
  36. 36.What is 2/5 + (−4/5)? (a) −2/5 (b) 2/5 (c) −1/5 (d) 6/5
  37. 37.What is (−1/8) + 3/7? (a) 17/56 (b) −17/56 (c) 2/15 (d) −31/56
  38. 38.What is the additive inverse of 3/7? (a) 3/7 (b) −7/3 (c) −3/7 (d) 7/3
  39. 39.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −4/7 (d) −24/42
  40. 40.What is (−5/6) − (−1/5)? (a) −19/30 (b) −31/30 (c) −4/11 (d) 19/30

Answer key

  1. −5/9
  2. Positive
  3. −3/2
  4. −25/24
  5. −1/3
  6. −1/7
  7. Positive
  8. Negative
  9. 11/15
  10. −8/9
  11. 3/5
  12. −1/9
  13. −7/9
  14. −8/63
  15. −4/9
  16. 17/63
  17. Positive
  18. −3/8
  19. −1/5
  20. −3/5
  21. −2/5
  22. 7/9
  23. −5/24
  24. Negative
  25. 13/30
  26. 31/35
  27. −2/7
  28. −23/24
  29. Negative
  30. −1/4
  31. 3/8
  32. Negative
  33. −4/7
  34. −1/3
  35. −2/5
  36. −2/5
  37. 17/56
  38. −3/7
  39. −4/7
  40. −19/30

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