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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 461 · 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 the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 7/4 (d) 4/7
  2. 2.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) 1/4 (d) −1/4
  3. 3.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −2/3 or −1/4? (a) −1/4 (b) −2/3
  5. 5.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  6. 6.Which is bigger: −4/5 or −1/6? (a) −4/5 (b) −1/6
  7. 7.Which is bigger: −4/9 or −1/9? (a) −4/9 (b) −1/9
  8. 8.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −9/12
  9. 9.What is (−1/9) − (−7/9)? (a) −8/9 (b) −2/3 (c) 2/3 (d) 1/3
  10. 10.What is (−4/7) + 4/7? (a) 0 (b) −8/7
  11. 11.Is −7/5 positive or negative? (a) Positive (b) Negative
  12. 12.Which is bigger: −2/9 or 1/4? (a) 1/4 (b) −2/9
  13. 13.What is (−5/7) − 1/8? (a) 47/56 (b) −2/5 (c) −47/56 (d) −33/56
  14. 14.What is 3/5 − (−8/9)? (a) −67/45 (b) −13/45 (c) 11/14 (d) 67/45
  15. 15.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −42/48 (d) −7/8
  16. 16.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −6/16 (d) −3/8
  17. 17.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  18. 18.Write −8/28 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −8/28
  19. 19.What is (−1/4) − (−3/8)? (a) 1/8 (b) 1/6 (c) −1/8 (d) −5/8
  20. 20.What is (−8/9) + 2/7? (a) −74/63 (b) −38/63 (c) 38/63 (d) −3/8
  21. 21.Which is bigger: −4/5 or −1/2? (a) −1/2 (b) −4/5
  22. 22.Which is smaller: −5/9 or −2/9? (a) −2/9 (b) −5/9
  23. 23.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  24. 24.What is the additive inverse of 7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  25. 25.Write −2/10 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −2/10 (c) −5/1 (d) 1/5
  26. 26.Write −6/30 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −6/30 (d) 1/5
  27. 27.What is (−5/9) + (−4/9)? (a) −1/9 (b) −1 (c) 1 (d) −1/2
  28. 28.What is 5/6 − (−5/9)? (a) 2/3 (b) 25/18 (c) 5/18 (d) −25/18
  29. 29.What is 3/5 − (−2/9)? (a) 37/45 (b) −37/45 (c) 17/45 (d) 5/14
  30. 30.Is −7/6 positive or negative? (a) Positive (b) Negative
  31. 31.What is 3/5 + (−3/5)? (a) 0 (b) 6/5
  32. 32.Which is bigger: −1/5 or −5/6? (a) −5/6 (b) −1/5
  33. 33.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −2/8 (c) 1/4 (d) −1/4
  34. 34.Which is bigger: −1/2 or −2/5? (a) −2/5 (b) −1/2
  35. 35.What is 3/4 − (−7/9)? (a) 10/13 (b) 55/36 (c) −55/36 (d) −1/36
  36. 36.What is 1/6 − (−5/6)? (a) −2/3 (b) −1 (c) 1 (d) 1/2
  37. 37.What is 2/3 − (−1/9)? (a) −7/9 (b) 1/4 (c) 7/9 (d) 5/9
  38. 38.What is (−3/8) + 5/8? (a) −1/4 (b) −1 (c) 1/8 (d) 1/4
  39. 39.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  40. 40.What is (−1/7) + 3/4? (a) 2/11 (b) 17/28 (c) −17/28 (d) −25/28

Answer key

  1. 7/4
  2. −1/4
  3. Positive
  4. −2/3
  5. Negative
  6. −1/6
  7. −1/9
  8. −3/4
  9. 2/3
  10. 0
  11. Negative
  12. 1/4
  13. −47/56
  14. 67/45
  15. −7/8
  16. −3/8
  17. Negative
  18. −2/7
  19. 1/8
  20. −38/63
  21. −1/2
  22. −5/9
  23. 8/7
  24. −7/8
  25. −1/5
  26. −1/5
  27. −1
  28. 25/18
  29. 37/45
  30. Negative
  31. 0
  32. −1/5
  33. −1/4
  34. −2/5
  35. 55/36
  36. 1
  37. 7/9
  38. 1/4
  39. −5/4
  40. 17/28

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