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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 915 · 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.Which is smaller: −1/5 or 1/8? (a) 1/8 (b) −1/5
  2. 2.Which is bigger: −1/6 or −1/5? (a) −1/5 (b) −1/6
  3. 3.What is the additive inverse of 8/9? (a) −8/9 (b) 8/9 (c) −9/8 (d) 9/8
  4. 4.Is 4/2 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−1/6) + (−1/4)? (a) 1/12 (b) −1/5 (c) 5/12 (d) −5/12
  6. 6.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −12/21
  7. 7.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) −6/7 (c) −7/6 (d) 6/7
  8. 8.What is (−1/8) + (−1/4)? (a) −1/6 (b) 3/8 (c) −3/8 (d) 1/8
  9. 9.Write −18/42 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −18/42 (d) −3/7
  10. 10.What is (−7/8) + (−2/3)? (a) −9/11 (b) −5/24 (c) −37/24 (d) 37/24
  11. 11.What is (−4/7) − 3/4? (a) −7/11 (b) 37/28 (c) −37/28 (d) 5/28
  12. 12.Which is smaller: −8/9 or −1/2? (a) −1/2 (b) −8/9
  13. 13.What is (−2/3) + 5/9? (a) −11/9 (b) 1/4 (c) 1/9 (d) −1/9
  14. 14.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  15. 15.What is the additive inverse of 3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  16. 16.Which is bigger: −7/8 or −4/7? (a) −4/7 (b) −7/8
  17. 17.Which is smaller: −2/9 or −3/7? (a) −2/9 (b) −3/7
  18. 18.Which is bigger: −8/9 or 5/8? (a) −8/9 (b) 5/8
  19. 19.What is (−1/9) − (−3/7)? (a) 1/8 (b) −20/63 (c) −34/63 (d) 20/63
  20. 20.What is (−3/5) − 7/8? (a) −10/13 (b) 59/40 (c) −59/40 (d) 11/40
  21. 21.What is (−7/9) − (−4/5)? (a) 1/45 (b) −71/45 (c) −1/45 (d) −3/14
  22. 22.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) −3/4 (c) 3/4 (d) −4/3
  23. 23.Which is bigger: −1/8 or 1/4? (a) −1/8 (b) 1/4
  24. 24.Is −6/6 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−2/5) − 5/9? (a) 43/45 (b) 7/45 (c) −43/45 (d) −1/2
  26. 26.What is 1/9 − (−2/5)? (a) 23/45 (b) −23/45 (c) −13/45 (d) 3/14
  27. 27.What is (−5/9) + (−4/9)? (a) 1 (b) −1/9 (c) −1/2 (d) −1
  28. 28.What is (−1/2) + (−4/5)? (a) 13/10 (b) −5/7 (c) 3/10 (d) −13/10
  29. 29.Which is smaller: −3/4 or −3/5? (a) −3/5 (b) −3/4
  30. 30.Write −24/42 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) 4/7 (d) −24/42
  31. 31.Is 1/(−6) positive or negative? (a) Negative (b) Positive
  32. 32.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) −4/9 (c) −9/4 (d) 4/9
  33. 33.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  34. 34.What is (−5/6) − 2/7? (a) −7/13 (b) −47/42 (c) −23/42 (d) 47/42
  35. 35.What is (−5/6) − 4/5? (a) 49/30 (b) −1/30 (c) −49/30 (d) −9/11
  36. 36.Which is smaller: −2/5 or 2/3? (a) −2/5 (b) 2/3
  37. 37.What is the additive inverse of −5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  38. 38.Write −6/8 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −6/8 (c) −3/4 (d) 3/4
  39. 39.Which is smaller: −3/4 or −5/7? (a) −5/7 (b) −3/4
  40. 40.Which is bigger: −5/9 or 5/8? (a) 5/8 (b) −5/9

Answer key

  1. −1/5
  2. −1/6
  3. −8/9
  4. Positive
  5. −5/12
  6. −4/7
  7. −7/6
  8. −3/8
  9. −3/7
  10. −37/24
  11. −37/28
  12. −8/9
  13. −1/9
  14. 7/4
  15. −3/5
  16. −4/7
  17. −3/7
  18. 5/8
  19. 20/63
  20. −59/40
  21. 1/45
  22. 4/3
  23. 1/4
  24. Negative
  25. −43/45
  26. 23/45
  27. −1
  28. −13/10
  29. −3/4
  30. −4/7
  31. Negative
  32. −9/4
  33. 6/5
  34. −47/42
  35. −49/30
  36. −2/5
  37. 5/9
  38. −3/4
  39. −3/4
  40. 5/8

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