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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 718 · 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/(−2) positive or negative? (a) Negative (b) Positive
  2. 2.What is the additive inverse of −2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  3. 3.What is (−1/3) − (−7/9)? (a) −4/9 (b) 1/2 (c) −10/9 (d) 4/9
  4. 4.Which is bigger: −2/5 or −7/8? (a) −2/5 (b) −7/8
  5. 5.What is the additive inverse of 7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  6. 6.Which is bigger: −2/9 or 3/8? (a) 3/8 (b) −2/9
  7. 7.Is −1/8 positive or negative? (a) Negative (b) Positive
  8. 8.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  9. 9.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  10. 10.Write −10/12 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −10/12 (d) 5/6
  11. 11.What is (−7/9) + (−7/9)? (a) 14/9 (b) 0 (c) −14/9 (d) −7/9
  12. 12.Which is bigger: −2/9 or −3/8? (a) −3/8 (b) −2/9
  13. 13.What is (−4/7) − (−1/5)? (a) −1/4 (b) −13/35 (c) −27/35 (d) 13/35
  14. 14.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  15. 15.What is (−4/7) − 4/7? (a) 8/7 (b) 0 (c) −4/7 (d) −8/7
  16. 16.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  17. 17.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −18/42 (c) −7/3 (d) −3/7
  18. 18.Which is smaller: −3/4 or −7/8? (a) −7/8 (b) −3/4
  19. 19.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −5/7 (c) 5/7 (d) −7/5
  20. 20.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −20/45 (b) −4/9 (c) −9/4 (d) 4/9
  21. 21.What is 7/9 − (−3/4)? (a) −55/36 (b) 55/36 (c) 10/13 (d) 1/36
  22. 22.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −4/14 (d) −2/7
  23. 23.What is (−1/6) + (−3/5)? (a) 13/30 (b) −23/30 (c) −4/11 (d) 23/30
  24. 24.Which is bigger: −1/6 or −3/8? (a) −3/8 (b) −1/6
  25. 25.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  26. 26.Write −9/12 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −9/12
  27. 27.What is (−1/6) + 2/3? (a) −1/2 (b) 1/9 (c) −5/6 (d) 1/2
  28. 28.What is 2/5 + (−3/7)? (a) 1/35 (b) −1/12 (c) −1/35 (d) 29/35
  29. 29.What is (−3/4) − 3/8? (a) −1/2 (b) 9/8 (c) −3/8 (d) −9/8
  30. 30.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −14/18 (d) −9/7
  31. 31.Which is smaller: −1/3 or 6/7? (a) 6/7 (b) −1/3
  32. 32.Is 9/(−8) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/8) + 4/9? (a) 13/72 (b) −13/72 (c) −77/72 (d) −1/17
  34. 34.What is 4/9 + (−5/9)? (a) −1/18 (b) 1/9 (c) 1 (d) −1/9
  35. 35.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −12/32 (b) −3/8 (c) −8/3 (d) 3/8
  36. 36.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) 2/5 (d) −2/5
  37. 37.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  38. 38.What is 3/5 − (−2/5)? (a) 1 (b) 1/5 (c) −1 (d) 1/2
  39. 39.Is 7/(−5) positive or negative? (a) Negative (b) Positive
  40. 40.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −28/36 (c) 7/9 (d) −7/9

Answer key

  1. Positive
  2. 2/5
  3. 4/9
  4. −2/5
  5. −7/8
  6. 3/8
  7. Negative
  8. 4
  9. Negative
  10. −5/6
  11. −14/9
  12. −2/9
  13. −13/35
  14. 5/2
  15. −8/7
  16. −3/8
  17. −3/7
  18. −7/8
  19. 7/5
  20. −4/9
  21. 55/36
  22. −2/7
  23. −23/30
  24. −1/6
  25. Negative
  26. −3/4
  27. 1/2
  28. −1/35
  29. −9/8
  30. −7/9
  31. −1/3
  32. Negative
  33. −13/72
  34. −1/9
  35. −3/8
  36. −2/5
  37. −6/7
  38. 1
  39. Negative
  40. −7/9

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