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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 892 · 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 bigger: −5/6 or −1/7? (a) −1/7 (b) −5/6
  2. 2.Which is smaller: −1/4 or 1/9? (a) 1/9 (b) −1/4
  3. 3.What is (−6/7) − 6/7? (a) 0 (b) −6/7 (c) −12/7 (d) 12/7
  4. 4.What is (−3/5) + 3/4? (a) 0 (b) 3/20 (c) −3/20 (d) −27/20
  5. 5.Which is smaller: −6/7 or −2/7? (a) −2/7 (b) −6/7
  6. 6.What is (−2/7) − 3/8? (a) −37/56 (b) 5/56 (c) 37/56 (d) −1/3
  7. 7.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  8. 8.What is (−7/8) − 2/9? (a) 79/72 (b) −79/72 (c) −9/17 (d) −47/72
  9. 9.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  10. 10.Which is bigger: −1/7 or −8/9? (a) −8/9 (b) −1/7
  11. 11.Is −3/2 positive or negative? (a) Positive (b) Negative
  12. 12.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  13. 13.Which is bigger: −7/9 or −5/9? (a) −5/9 (b) −7/9
  14. 14.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  15. 15.Which is bigger: −1/6 or −7/9? (a) −7/9 (b) −1/6
  16. 16.What is (−6/7) + 1/2? (a) −5/9 (b) −5/14 (c) −19/14 (d) 5/14
  17. 17.What is (−8/9) + 3/5? (a) −5/14 (b) −13/45 (c) −67/45 (d) 13/45
  18. 18.What is 6/7 − (−3/4)? (a) 9/11 (b) −45/28 (c) 45/28 (d) 3/28
  19. 19.Which is bigger: −2/7 or −5/9? (a) −2/7 (b) −5/9
  20. 20.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) −6/14 (d) 3/7
  21. 21.Write −21/27 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −21/27 (d) −7/9
  22. 22.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  23. 23.Is −4/(−2) positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −1/7 or −3/7? (a) −3/7 (b) −1/7
  25. 25.Is −5/6 positive or negative? (a) Positive (b) Negative
  26. 26.Is 7/9 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−2/3) − 8/9? (a) 2/9 (b) 14/9 (c) −14/9 (d) −5/6
  28. 28.Which is smaller: −4/9 or −2/7? (a) −2/7 (b) −4/9
  29. 29.Which is bigger: −5/8 or 7/8? (a) −5/8 (b) 7/8
  30. 30.Which is smaller: −1/2 or −1/5? (a) −1/2 (b) −1/5
  31. 31.What is 2/5 − (−2/5)? (a) 4/5 (b) −4/5 (c) 0 (d) 2/5
  32. 32.What is (−3/7) − 6/7? (a) −9/14 (b) 3/7 (c) 9/7 (d) −9/7
  33. 33.What is (−2/7) + 2/5? (a) −24/35 (b) 4/35 (c) −4/35 (d) 0
  34. 34.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) −4/5 (c) −5/4 (d) 4/5
  35. 35.What is the additive inverse of 1/2? (a) 1/2 (b) 2 (c) −2 (d) −1/2
  36. 36.What is (−3/4) + (−2/9)? (a) 35/36 (b) −19/36 (c) −5/13 (d) −35/36
  37. 37.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −7/6 (c) −30/35 (d) 6/7
  38. 38.What is (−6/7) − 4/7? (a) −2/7 (b) −5/7 (c) −10/7 (d) 10/7
  39. 39.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) −1/8 (c) −8 (d) 1/8
  40. 40.Is −5/4 positive or negative? (a) Negative (b) Positive

Answer key

  1. −1/7
  2. −1/4
  3. −12/7
  4. 3/20
  5. −6/7
  6. −37/56
  7. 7/2
  8. −79/72
  9. −5/3
  10. −1/7
  11. Negative
  12. 5
  13. −5/9
  14. 4
  15. −1/6
  16. −5/14
  17. −13/45
  18. 45/28
  19. −2/7
  20. −3/7
  21. −7/9
  22. −4/3
  23. Positive
  24. −1/7
  25. Negative
  26. Positive
  27. −14/9
  28. −4/9
  29. 7/8
  30. −1/2
  31. 4/5
  32. −9/7
  33. 4/35
  34. −4/5
  35. −1/2
  36. −35/36
  37. −6/7
  38. −10/7
  39. 8
  40. Negative

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