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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 298 · 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.Write −4/6 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −4/6 (d) 2/3
  2. 2.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) 5/8 (d) −15/24
  3. 3.Which is bigger: −2/9 or 1/8? (a) −2/9 (b) 1/8
  4. 4.What is (−8/9) − 2/7? (a) −74/63 (b) −5/8 (c) −38/63 (d) 74/63
  5. 5.Is 9/5 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−2/3) + 1/7? (a) −11/21 (b) −1/10 (c) 11/21 (d) −17/21
  7. 7.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) −2/5 (c) 2/5 (d) −5/2
  8. 8.Is 7/6 positive or negative? (a) Positive (b) Negative
  9. 9.What is 1/4 + (−2/7)? (a) 15/28 (b) 1/28 (c) −1/28 (d) −1/11
  10. 10.What is the additive inverse of 7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  11. 11.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −25/30
  12. 12.What is the additive inverse of −4/5? (a) −4/5 (b) 5/4 (c) 4/5 (d) −5/4
  13. 13.What is 1/5 − (−1/3)? (a) −8/15 (b) 8/15 (c) −2/15 (d) 1/4
  14. 14.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) 4/5 (c) −4/5 (d) −5/4
  15. 15.What is (−1/7) + 1/9? (a) −2/63 (b) 0 (c) 2/63 (d) −16/63
  16. 16.Which is bigger: −2/7 or 2/5? (a) −2/7 (b) 2/5
  17. 17.Write −36/42 in standard form (lowest terms, positive denominator). (a) −36/42 (b) −6/7 (c) −7/6 (d) 6/7
  18. 18.What is (−7/8) − (−5/8)? (a) −1/4 (b) −1/8 (c) −3/2 (d) 1/4
  19. 19.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  20. 20.Is 9/7 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−3/4) − (−3/4)? (a) 0 (b) −3/2
  22. 22.Which is bigger: −4/7 or −1/6? (a) −4/7 (b) −1/6
  23. 23.What is (−1/8) + 1/2? (a) −5/8 (b) 3/8 (c) 0 (d) −3/8
  24. 24.Write −15/25 in standard form (lowest terms, positive denominator). (a) −15/25 (b) 3/5 (c) −3/5 (d) −5/3
  25. 25.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/8) + (−1/2)? (a) 5/8 (b) 3/8 (c) −1/5 (d) −5/8
  27. 27.What is (−8/9) + 1/6? (a) −19/18 (b) 13/18 (c) −7/15 (d) −13/18
  28. 28.Which is smaller: −5/7 or 4/5? (a) −5/7 (b) 4/5
  29. 29.Which is bigger: −2/9 or −3/4? (a) −3/4 (b) −2/9
  30. 30.What is (−1/2) − (−6/7)? (a) −19/14 (b) 5/14 (c) −5/14 (d) 5/9
  31. 31.What is the additive inverse of −2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  32. 32.Which is bigger: −5/9 or 7/9? (a) 7/9 (b) −5/9
  33. 33.What is the additive inverse of −2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  34. 34.Which is bigger: −1/3 or −3/7? (a) −1/3 (b) −3/7
  35. 35.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−5/6) + 1/3? (a) −1/2 (b) −4/9 (c) −7/6 (d) 1/2
  37. 37.Which is bigger: −5/8 or −3/8? (a) −5/8 (b) −3/8
  38. 38.What is (−3/7) + (−4/7)? (a) −1/2 (b) 1/7 (c) 1 (d) −1
  39. 39.What is the additive inverse of −5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  40. 40.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8

Answer key

  1. −2/3
  2. −5/8
  3. 1/8
  4. −74/63
  5. Positive
  6. −11/21
  7. −2/5
  8. Positive
  9. −1/28
  10. −7/9
  11. −5/6
  12. 4/5
  13. 8/15
  14. 5/4
  15. −2/63
  16. 2/5
  17. −6/7
  18. −1/4
  19. Negative
  20. Positive
  21. 0
  22. −1/6
  23. 3/8
  24. −3/5
  25. Positive
  26. −5/8
  27. −13/18
  28. −5/7
  29. −2/9
  30. 5/14
  31. 2/9
  32. 7/9
  33. 2/5
  34. −1/3
  35. Positive
  36. −1/2
  37. −3/8
  38. −1
  39. 5/9
  40. −8/7

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