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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 941 · 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 3/(−4) positive or negative? (a) Negative (b) Positive
  2. 2.Write −6/8 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) 3/4 (d) −6/8
  3. 3.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  4. 4.What is (−5/8) + (−2/3)? (a) −7/11 (b) 1/24 (c) 31/24 (d) −31/24
  5. 5.Write −21/27 in standard form (lowest terms, positive denominator). (a) −21/27 (b) −9/7 (c) −7/9 (d) 7/9
  6. 6.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  7. 7.Write −24/27 in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −9/8 (d) −24/27
  8. 8.What is the additive inverse of 1/5? (a) −5 (b) 5 (c) −1/5 (d) 1/5
  9. 9.Which is bigger: −2/9 or 1/2? (a) −2/9 (b) 1/2
  10. 10.What is 4/9 + (−1/2)? (a) 3/11 (b) −1/18 (c) 17/18 (d) 1/18
  11. 11.Which is smaller: −7/9 or 1/2? (a) −7/9 (b) 1/2
  12. 12.What is (−2/9) − (−2/3)? (a) −4/9 (b) −8/9 (c) 0 (d) 4/9
  13. 13.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −6/15 (d) −5/2
  14. 14.Write −10/14 in standard form (lowest terms, positive denominator). (a) −10/14 (b) −7/5 (c) −5/7 (d) 5/7
  15. 15.Which is bigger: −1/2 or −5/8? (a) −1/2 (b) −5/8
  16. 16.What is (−1/5) + (−5/6)? (a) −31/30 (b) 19/30 (c) −6/11 (d) 31/30
  17. 17.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) 5/9 (c) −9/5 (d) 9/5
  18. 18.Which is smaller: −4/9 or −2/5? (a) −4/9 (b) −2/5
  19. 19.What is 2/3 + (−3/4)? (a) 17/12 (b) −1/12 (c) 1/12 (d) −1/7
  20. 20.Which is smaller: −1/8 or −5/8? (a) −1/8 (b) −5/8
  21. 21.What is the additive inverse of −1/5? (a) −5 (b) 5 (c) −1/5 (d) 1/5
  22. 22.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  23. 23.What is the additive inverse of −2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  24. 24.Which is bigger: −2/9 or 1/5? (a) 1/5 (b) −2/9
  25. 25.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −7/8 or 8/9? (a) −7/8 (b) 8/9
  27. 27.What is (−1/8) − 4/7? (a) 25/56 (b) 39/56 (c) −1/3 (d) −39/56
  28. 28.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  29. 29.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −18/30 (d) −3/5
  30. 30.What is (−1/5) + 2/7? (a) 3/35 (b) −17/35 (c) 1/12 (d) −3/35
  31. 31.Which is bigger: −2/5 or 7/8? (a) −2/5 (b) 7/8
  32. 32.What is 1/4 + (−7/9)? (a) −6/13 (b) 37/36 (c) −19/36 (d) 19/36
  33. 33.Is −2/4 positive or negative? (a) Positive (b) Negative
  34. 34.What is the additive inverse of −1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  35. 35.What is 3/7 + (−3/5)? (a) 6/35 (b) 36/35 (c) −6/35 (d) 0
  36. 36.Which is bigger: −4/9 or −3/7? (a) −3/7 (b) −4/9
  37. 37.Which is bigger: −5/9 or 2/3? (a) 2/3 (b) −5/9
  38. 38.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −1/9 (c) 9 (d) −9
  39. 39.Is 9/5 positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7

Answer key

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

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