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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 300 · 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.What is 4/9 + (−2/5)? (a) 38/45 (b) 1/7 (c) −2/45 (d) 2/45
  2. 2.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −8/36 (d) −9/2
  3. 3.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  4. 4.Is 8/7 positive or negative? (a) Positive (b) Negative
  5. 5.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  6. 6.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −12/42 (c) −7/2 (d) 2/7
  7. 7.What is the additive inverse of 5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  8. 8.What is (−5/9) − (−5/9)? (a) −10/9 (b) 0
  9. 9.What is the reciprocal (multiplicative inverse) of −1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  10. 10.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −15/18
  11. 11.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  12. 12.Which is bigger: −4/9 or −3/4? (a) −4/9 (b) −3/4
  13. 13.Which is bigger: −1/4 or −8/9? (a) −1/4 (b) −8/9
  14. 14.What is (−1/7) + 1/3? (a) −4/21 (b) 4/21 (c) −10/21 (d) 0
  15. 15.Write −6/30 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −6/30 (c) 1/5 (d) −5/1
  16. 16.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −5/25 (d) −1/5
  17. 17.What is (−1/2) + (−6/7)? (a) 5/14 (b) −19/14 (c) 19/14 (d) −7/9
  18. 18.What is (−5/8) − 7/8? (a) 3/2 (b) −3/2 (c) −3/4 (d) 1/4
  19. 19.Which is bigger: −1/9 or 5/6? (a) 5/6 (b) −1/9
  20. 20.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −2/3 or 1/3? (a) 1/3 (b) −2/3
  22. 22.Which is bigger: −3/5 or 5/9? (a) 5/9 (b) −3/5
  23. 23.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) −8/5 (c) −5/8 (d) 5/8
  24. 24.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −12/28 (c) −3/7 (d) 3/7
  25. 25.What is 2/3 + (−1/7)? (a) −11/21 (b) 17/21 (c) 1/10 (d) 11/21
  26. 26.What is (−4/7) − 2/5? (a) −34/35 (b) −6/35 (c) −1/2 (d) 34/35
  27. 27.What is (−2/7) + 2/5? (a) −24/35 (b) −4/35 (c) 0 (d) 4/35
  28. 28.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) 9 (c) −9 (d) 1/9
  29. 29.What is the additive inverse of −1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  30. 30.What is (−8/9) − (−7/9)? (a) 1/9 (b) −5/3 (c) −1/9 (d) −1/18
  31. 31.What is the additive inverse of −5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  32. 32.Is −3/7 positive or negative? (a) Negative (b) Positive
  33. 33.Is −3/9 positive or negative? (a) Positive (b) Negative
  34. 34.Write −9/12 in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −9/12 (d) −4/3
  35. 35.Is −5/(−6) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−6/7) − (−4/7)? (a) −10/7 (b) −1/7 (c) −2/7 (d) 2/7
  37. 37.What is (−4/9) − 2/5? (a) −38/45 (b) 38/45 (c) −3/7 (d) −2/45
  38. 38.What is 1/2 + (−3/5)? (a) −2/7 (b) 1/10 (c) −1/10 (d) 11/10
  39. 39.Which is bigger: −5/6 or −1/7? (a) −1/7 (b) −5/6
  40. 40.What is 2/3 + (−6/7)? (a) 32/21 (b) 4/21 (c) −4/21 (d) −2/5

Answer key

  1. 2/45
  2. −2/9
  3. −8/9
  4. Positive
  5. −1/4
  6. −2/7
  7. −5/9
  8. 0
  9. −3
  10. −5/6
  11. 6/7
  12. −4/9
  13. −1/4
  14. 4/21
  15. −1/5
  16. −1/5
  17. −19/14
  18. −3/2
  19. 5/6
  20. Negative
  21. 1/3
  22. 5/9
  23. −5/8
  24. −3/7
  25. 11/21
  26. −34/35
  27. 4/35
  28. −9
  29. 1/6
  30. −1/9
  31. 5/9
  32. Negative
  33. Negative
  34. −3/4
  35. Positive
  36. −2/7
  37. −38/45
  38. −1/10
  39. −1/7
  40. −4/21

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