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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 439 · 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 (−5/6) − 7/9? (a) 29/18 (b) −29/18 (c) −4/5 (d) −1/18
  2. 2.What is (−7/8) − (−4/7)? (a) −1/5 (b) 17/56 (c) −17/56 (d) −81/56
  3. 3.What is (−2/9) + (−5/6)? (a) −7/15 (b) 11/18 (c) −19/18 (d) 19/18
  4. 4.What is 1/2 + (−3/7)? (a) −2/9 (b) 1/14 (c) 13/14 (d) −1/14
  5. 5.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −15/35 (d) 3/7
  6. 6.Is 5/6 positive or negative? (a) Positive (b) Negative
  7. 7.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 4/9 (d) 9/4
  8. 8.Which is bigger: −8/9 or 3/4? (a) −8/9 (b) 3/4
  9. 9.Which is smaller: −6/7 or −1/6? (a) −1/6 (b) −6/7
  10. 10.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.What is (−8/9) − (−2/3)? (a) −14/9 (b) −1/2 (c) −2/9 (d) 2/9
  12. 12.What is (−2/9) + (−3/4)? (a) −35/36 (b) 35/36 (c) 19/36 (d) −5/13
  13. 13.What is (−4/7) − 1/9? (a) −43/63 (b) 43/63 (c) −5/16 (d) −29/63
  14. 14.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −4/36 (b) −9/1 (c) 1/9 (d) −1/9
  15. 15.What is 7/9 + (−7/9)? (a) 14/9 (b) 0
  16. 16.Is −9/3 positive or negative? (a) Negative (b) Positive
  17. 17.What is the additive inverse of −2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  18. 18.Write −18/30 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −18/30 (c) 3/5 (d) −5/3
  19. 19.Which is bigger: −1/3 or −5/6? (a) −1/3 (b) −5/6
  20. 20.Is −7/(−8) positive or negative? (a) Negative (b) Positive
  21. 21.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) −3/8 (c) −8/3 (d) 3/8
  22. 22.What is (−3/7) + (−5/8)? (a) 59/56 (b) −8/15 (c) 11/56 (d) −59/56
  23. 23.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  24. 24.Is −8/8 positive or negative? (a) Negative (b) Positive
  25. 25.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  26. 26.Which is bigger: −1/5 or −2/7? (a) −2/7 (b) −1/5
  27. 27.Is 7/(−7) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−3/4) − (−1/3)? (a) 5/12 (b) −2/7 (c) −13/12 (d) −5/12
  29. 29.Is −1/4 positive or negative? (a) Negative (b) Positive
  30. 30.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) 2 (c) −2 (d) −1/2
  31. 31.Is −1/(−9) positive or negative? (a) Positive (b) Negative
  32. 32.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  34. 34.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  35. 35.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −12/54
  36. 36.What is (−8/9) − (−3/4)? (a) 5/36 (b) −59/36 (c) −5/13 (d) −5/36
  37. 37.Which is bigger: −4/9 or 1/3? (a) −4/9 (b) 1/3
  38. 38.Which is smaller: −1/4 or 6/7? (a) −1/4 (b) 6/7
  39. 39.Which is bigger: −3/7 or −2/9? (a) −2/9 (b) −3/7
  40. 40.Which is smaller: −6/7 or −3/5? (a) −3/5 (b) −6/7

Answer key

  1. −29/18
  2. −17/56
  3. −19/18
  4. 1/14
  5. −3/7
  6. Positive
  7. 4/9
  8. 3/4
  9. −6/7
  10. Positive
  11. −2/9
  12. −35/36
  13. −43/63
  14. −1/9
  15. 0
  16. Negative
  17. 2/5
  18. −3/5
  19. −1/3
  20. Positive
  21. −3/8
  22. −59/56
  23. Negative
  24. Negative
  25. −3
  26. −1/5
  27. Negative
  28. −5/12
  29. Negative
  30. −2
  31. Positive
  32. Positive
  33. 6
  34. 5/3
  35. −2/9
  36. −5/36
  37. 1/3
  38. −1/4
  39. −2/9
  40. −6/7

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