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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 500 · 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 (−5/9) − 4/7? (a) −9/16 (b) 71/63 (c) −71/63 (d) 1/63
  2. 2.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  3. 3.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −30/35 (c) −7/6 (d) −6/7
  4. 4.Which is bigger: −5/8 or −2/9? (a) −5/8 (b) −2/9
  5. 5.What is (−3/4) + (−4/7)? (a) −5/28 (b) 37/28 (c) −7/11 (d) −37/28
  6. 6.Which is bigger: −5/8 or −8/9? (a) −5/8 (b) −8/9
  7. 7.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −4/14 (c) 2/7 (d) −2/7
  8. 8.Is 1/6 positive or negative? (a) Negative (b) Positive
  9. 9.Is −5/(−6) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−4/9) − 3/5? (a) 7/45 (b) −1/2 (c) 47/45 (d) −47/45
  11. 11.Which is bigger: −3/7 or −7/8? (a) −3/7 (b) −7/8
  12. 12.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) 8/3 (d) −3/8
  13. 13.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  14. 14.What is the additive inverse of −6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  15. 15.What is the additive inverse of −5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  16. 16.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  17. 17.Which is smaller: −4/7 or 7/8? (a) −4/7 (b) 7/8
  18. 18.Which is bigger: −4/5 or 3/5? (a) −4/5 (b) 3/5
  19. 19.Which is smaller: −2/3 or −7/9? (a) −7/9 (b) −2/3
  20. 20.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  21. 21.Which is bigger: −1/2 or −2/3? (a) −1/2 (b) −2/3
  22. 22.Write −5/15 in standard form (lowest terms, positive denominator). (a) −5/15 (b) −1/3 (c) 1/3 (d) −3/1
  23. 23.Which is smaller: −2/7 or −1/2? (a) −2/7 (b) −1/2
  24. 24.Which is bigger: −4/9 or 7/8? (a) −4/9 (b) 7/8
  25. 25.What is (−5/8) + (−6/7)? (a) −83/56 (b) 83/56 (c) 13/56 (d) −11/15
  26. 26.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −10/15
  27. 27.What is (−2/7) + (−1/4)? (a) −1/28 (b) −15/28 (c) −3/11 (d) 15/28
  28. 28.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −10/18 (d) 5/9
  29. 29.Write −3/27 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −3/27 (d) 1/9
  30. 30.What is the additive inverse of 8/9? (a) 8/9 (b) −9/8 (c) −8/9 (d) 9/8
  31. 31.Which is bigger: −1/3 or 1/4? (a) −1/3 (b) 1/4
  32. 32.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −9/8 (d) −48/54
  33. 33.What is (−2/5) + 3/4? (a) −23/20 (b) 7/20 (c) 1/9 (d) −7/20
  34. 34.Is 2/(−4) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−1/8) − 7/9? (a) −65/72 (b) 65/72 (c) 47/72 (d) −8/17
  36. 36.Write −40/45 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −40/45 (c) −8/9 (d) 8/9
  37. 37.What is (−8/9) + 2/3? (a) −2/9 (b) −1/2 (c) 2/9 (d) −14/9
  38. 38.What is 4/7 + (−5/6)? (a) 11/42 (b) −1/13 (c) −11/42 (d) 59/42
  39. 39.Is 6/5 positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9

Answer key

  1. −71/63
  2. Positive
  3. −6/7
  4. −2/9
  5. −37/28
  6. −5/8
  7. −2/7
  8. Positive
  9. Positive
  10. −47/45
  11. −3/7
  12. −3/8
  13. Positive
  14. 6/7
  15. 5/8
  16. −5/9
  17. −4/7
  18. 3/5
  19. −7/9
  20. 4/3
  21. −1/2
  22. −1/3
  23. −1/2
  24. 7/8
  25. −83/56
  26. −2/3
  27. −15/28
  28. −5/9
  29. −1/9
  30. −8/9
  31. 1/4
  32. −8/9
  33. 7/20
  34. Negative
  35. −65/72
  36. −8/9
  37. −2/9
  38. −11/42
  39. Positive
  40. 9/2

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