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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 79 · 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: −1/5 or −5/7? (a) −5/7 (b) −1/5
  2. 2.Is 2/(−2) positive or negative? (a) Positive (b) Negative
  3. 3.What is (−1/5) − 4/7? (a) 27/35 (b) −27/35 (c) 13/35 (d) −5/12
  4. 4.What is the additive inverse of 1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  5. 5.Is 8/5 positive or negative? (a) Negative (b) Positive
  6. 6.Is 8/7 positive or negative? (a) Negative (b) Positive
  7. 7.What is the additive inverse of 4/7? (a) −4/7 (b) 7/4 (c) 4/7 (d) −7/4
  8. 8.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −3/15 (d) −1/5
  9. 9.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −18/42
  10. 10.What is 1/7 + (−1/2)? (a) 9/14 (b) 0 (c) 5/14 (d) −5/14
  11. 11.What is (−5/9) + 4/5? (a) −11/45 (b) −1/14 (c) 11/45 (d) −61/45
  12. 12.Is 8/4 positive or negative? (a) Positive (b) Negative
  13. 13.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−6/7) + 1/9? (a) 47/63 (b) −61/63 (c) −5/16 (d) −47/63
  15. 15.What is the additive inverse of 6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  16. 16.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.Is −9/5 positive or negative? (a) Negative (b) Positive
  18. 18.What is 1/2 + (−1/6)? (a) 2/3 (b) 1/3 (c) 0 (d) −1/3
  19. 19.Write −18/21 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −18/21
  20. 20.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −8/28 (b) −7/2 (c) −2/7 (d) 2/7
  21. 21.Which is bigger: −1/6 or 4/7? (a) −1/6 (b) 4/7
  22. 22.Write −6/24 in standard form (lowest terms, positive denominator). (a) −6/24 (b) 1/4 (c) −1/4 (d) −4/1
  23. 23.Which is bigger: −1/7 or −1/8? (a) −1/8 (b) −1/7
  24. 24.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  25. 25.Which is smaller: −1/2 or −2/3? (a) −1/2 (b) −2/3
  26. 26.Is −5/8 positive or negative? (a) Positive (b) Negative
  27. 27.What is the additive inverse of −1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  28. 28.What is the additive inverse of 2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  29. 29.Is −3/7 positive or negative? (a) Negative (b) Positive
  30. 30.Is −3/8 positive or negative? (a) Negative (b) Positive
  31. 31.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/4) − (−1/5)? (a) −9/20 (b) −1/20 (c) 1/20 (d) 0
  33. 33.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −3/9 (c) 1/3 (d) −1/3
  34. 34.Which is bigger: −6/7 or −1/3? (a) −1/3 (b) −6/7
  35. 35.Is 9/(−5) positive or negative? (a) Negative (b) Positive
  36. 36.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  37. 37.Which is bigger: −3/8 or 1/7? (a) 1/7 (b) −3/8
  38. 38.What is the additive inverse of −4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  39. 39.Is 9/3 positive or negative? (a) Negative (b) Positive
  40. 40.Which is bigger: −5/8 or −4/5? (a) −5/8 (b) −4/5

Answer key

  1. −1/5
  2. Negative
  3. −27/35
  4. −1/3
  5. Positive
  6. Positive
  7. −4/7
  8. −1/5
  9. −3/7
  10. −5/14
  11. 11/45
  12. Positive
  13. Negative
  14. −47/63
  15. −6/7
  16. Negative
  17. Negative
  18. 1/3
  19. −6/7
  20. −2/7
  21. 4/7
  22. −1/4
  23. −1/8
  24. Positive
  25. −2/3
  26. Negative
  27. 1/5
  28. −2/5
  29. Negative
  30. Negative
  31. Positive
  32. −1/20
  33. −1/3
  34. −1/3
  35. Negative
  36. −2/3
  37. 1/7
  38. 4/5
  39. Positive
  40. −5/8

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