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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 783 · 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 the additive inverse of 3/7? (a) −7/3 (b) 7/3 (c) 3/7 (d) −3/7
  2. 2.What is the additive inverse of 2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  3. 3.Is −4/3 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−1/9) + (−2/9)? (a) 1/3 (b) 1/9 (c) −1/6 (d) −1/3
  5. 5.What is (−1/3) + 3/8? (a) −1/24 (b) 2/11 (c) −17/24 (d) 1/24
  6. 6.Which is smaller: −2/5 or −4/7? (a) −4/7 (b) −2/5
  7. 7.Write −30/36 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −30/36 (d) −5/6
  8. 8.What is 8/9 + (−6/7)? (a) −2/63 (b) 1/8 (c) 110/63 (d) 2/63
  9. 9.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) −2/5 (c) 2/5 (d) −5/2
  10. 10.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −25/45 (c) −9/5 (d) −5/9
  11. 11.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  12. 12.What is (−4/5) + 6/7? (a) 1/6 (b) −58/35 (c) −2/35 (d) 2/35
  13. 13.What is the additive inverse of 1/9? (a) 9 (b) 1/9 (c) −9 (d) −1/9
  14. 14.What is (−7/9) − (−1/2)? (a) 5/18 (b) −6/11 (c) −23/18 (d) −5/18
  15. 15.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −24/28 (c) 6/7 (d) −6/7
  16. 16.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) −5 (c) 1/5 (d) −1/5
  17. 17.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  18. 18.What is 2/7 + (−8/9)? (a) −38/63 (b) −3/8 (c) 38/63 (d) 74/63
  19. 19.What is (−3/5) − 1/4? (a) −7/20 (b) 17/20 (c) −4/9 (d) −17/20
  20. 20.Write −28/36 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −28/36 (d) −9/7
  21. 21.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  22. 22.What is 1/4 + (−8/9)? (a) −7/13 (b) 41/36 (c) 23/36 (d) −23/36
  23. 23.Write −30/35 in standard form (lowest terms, positive denominator). (a) −30/35 (b) 6/7 (c) −7/6 (d) −6/7
  24. 24.What is (−1/7) + 1/9? (a) 0 (b) −16/63 (c) −2/63 (d) 2/63
  25. 25.What is 3/8 + (−1/5)? (a) 23/40 (b) −7/40 (c) 2/13 (d) 7/40
  26. 26.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) 2/7 (c) −7/2 (d) −2/7
  27. 27.Is 5/9 positive or negative? (a) Negative (b) Positive
  28. 28.Is 5/7 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−1/4) − 4/7? (a) −5/11 (b) 23/28 (c) 9/28 (d) −23/28
  30. 30.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −24/54 (b) −4/9 (c) −9/4 (d) 4/9
  31. 31.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  32. 32.Which is bigger: −1/9 or 5/6? (a) 5/6 (b) −1/9
  33. 33.Which is bigger: −4/5 or −2/9? (a) −4/5 (b) −2/9
  34. 34.What is the additive inverse of 5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  35. 35.What is (−3/5) + 2/5? (a) −1/5 (b) 1/5 (c) −1 (d) −1/10
  36. 36.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  37. 37.Is 6/3 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−4/5) + (−3/7)? (a) −43/35 (b) −7/12 (c) −13/35 (d) 43/35
  39. 39.Which is bigger: −5/8 or 4/9? (a) 4/9 (b) −5/8
  40. 40.Which is smaller: −1/2 or 2/9? (a) −1/2 (b) 2/9

Answer key

  1. −3/7
  2. −2/5
  3. Negative
  4. −1/3
  5. 1/24
  6. −4/7
  7. −5/6
  8. 2/63
  9. −2/5
  10. −5/9
  11. 3
  12. 2/35
  13. −1/9
  14. −5/18
  15. −6/7
  16. −5
  17. Negative
  18. −38/63
  19. −17/20
  20. −7/9
  21. Positive
  22. −23/36
  23. −6/7
  24. −2/63
  25. 7/40
  26. −2/7
  27. Positive
  28. Positive
  29. −23/28
  30. −4/9
  31. 4
  32. 5/6
  33. −2/9
  34. −5/6
  35. −1/5
  36. Positive
  37. Positive
  38. −43/35
  39. 4/9
  40. −1/2

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