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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 724 · 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) Positive (b) Negative
  2. 2.What is the additive inverse of −3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  3. 3.What is (−1/7) + 2/5? (a) 1/12 (b) −9/35 (c) 9/35 (d) −19/35
  4. 4.Which is bigger: −8/9 or −2/7? (a) −8/9 (b) −2/7
  5. 5.Which is bigger: −5/6 or −4/9? (a) −4/9 (b) −5/6
  6. 6.Which is smaller: −1/4 or 4/9? (a) −1/4 (b) 4/9
  7. 7.Write −3/27 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −3/27 (d) −9/1
  8. 8.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −10/45 (c) 2/9 (d) −2/9
  9. 9.What is the additive inverse of 7/9? (a) 7/9 (b) −7/9 (c) −9/7 (d) 9/7
  10. 10.Is −5/3 positive or negative? (a) Negative (b) Positive
  11. 11.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  12. 12.What is (−1/4) + (−3/5)? (a) −4/9 (b) 7/20 (c) 17/20 (d) −17/20
  13. 13.What is 7/9 − (−1/3)? (a) −10/9 (b) 4/9 (c) 2/3 (d) 10/9
  14. 14.What is the additive inverse of −1/9? (a) 1/9 (b) −9 (c) −1/9 (d) 9
  15. 15.What is 1/3 − (−1/5)? (a) 2/15 (b) 8/15 (c) 1/4 (d) −8/15
  16. 16.What is 4/5 + (−2/7)? (a) −18/35 (b) 38/35 (c) 18/35 (d) 1/6
  17. 17.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) 8/3 (d) −8/3
  18. 18.What is (−2/5) − 5/8? (a) −41/40 (b) 9/40 (c) 41/40 (d) −7/13
  19. 19.What is (−1/2) + 4/7? (a) 1/3 (b) −1/14 (c) 1/14 (d) −15/14
  20. 20.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −6/5 (d) −30/36
  21. 21.Which is bigger: −1/5 or 8/9? (a) −1/5 (b) 8/9
  22. 22.What is (−1/9) + (−3/5)? (a) −32/45 (b) −2/7 (c) 32/45 (d) 22/45
  23. 23.Is 7/(−5) positive or negative? (a) Positive (b) Negative
  24. 24.What is the additive inverse of −1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  25. 25.What is 8/9 − (−7/8)? (a) −127/72 (b) 1/72 (c) 15/17 (d) 127/72
  26. 26.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  27. 27.Write −6/14 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −6/14 (c) −3/7 (d) 3/7
  28. 28.Which is bigger: −7/9 or −1/9? (a) −7/9 (b) −1/9
  29. 29.Is 3/9 positive or negative? (a) Negative (b) Positive
  30. 30.What is the additive inverse of −5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  31. 31.Which is smaller: −1/5 or −3/7? (a) −3/7 (b) −1/5
  32. 32.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  33. 33.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  34. 34.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −5/8 or −1/7? (a) −1/7 (b) −5/8
  36. 36.Which is bigger: −1/3 or −4/7? (a) −1/3 (b) −4/7
  37. 37.What is (−5/6) − 2/5? (a) 37/30 (b) −13/30 (c) −7/11 (d) −37/30
  38. 38.Is 5/3 positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of −4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  40. 40.What is 1/5 + (−2/9)? (a) 1/45 (b) −1/14 (c) 19/45 (d) −1/45

Answer key

  1. Positive
  2. 3/5
  3. 9/35
  4. −2/7
  5. −4/9
  6. −1/4
  7. −1/9
  8. −2/9
  9. −7/9
  10. Negative
  11. Positive
  12. −17/20
  13. 10/9
  14. 1/9
  15. 8/15
  16. 18/35
  17. −3/8
  18. −41/40
  19. 1/14
  20. −5/6
  21. 8/9
  22. −32/45
  23. Negative
  24. 1/8
  25. 127/72
  26. Negative
  27. −3/7
  28. −1/9
  29. Positive
  30. 5/9
  31. −3/7
  32. −9/5
  33. −5
  34. Positive
  35. −5/8
  36. −1/3
  37. −37/30
  38. Positive
  39. 4/7
  40. −1/45

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