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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 262 · 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.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  2. 2.Write −6/16 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) −6/16 (d) 3/8
  3. 3.What is the additive inverse of −1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  4. 4.Which is smaller: −4/7 or 8/9? (a) −4/7 (b) 8/9
  5. 5.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  6. 6.What is (−1/7) − 5/8? (a) −43/56 (b) 43/56 (c) −2/5 (d) 27/56
  7. 7.Write −16/36 in standard form (lowest terms, positive denominator). (a) −16/36 (b) −4/9 (c) −9/4 (d) 4/9
  8. 8.Which is bigger: −7/8 or 4/9? (a) −7/8 (b) 4/9
  9. 9.Which is bigger: −2/3 or 8/9? (a) 8/9 (b) −2/3
  10. 10.Is −6/(−9) positive or negative? (a) Negative (b) Positive
  11. 11.Is −1/8 positive or negative? (a) Positive (b) Negative
  12. 12.Write −3/6 in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −3/6 (d) −1/2
  13. 13.What is 2/3 + (−4/7)? (a) −1/5 (b) 26/21 (c) 2/21 (d) −2/21
  14. 14.Which is bigger: −2/5 or 7/9? (a) −2/5 (b) 7/9
  15. 15.Is 2/2 positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of −1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  17. 17.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 4/7 (c) 7/4 (d) −4/7
  18. 18.Write −5/15 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −5/15 (d) −3/1
  19. 19.What is (−2/5) − 1/2? (a) 9/10 (b) −9/10 (c) −3/7 (d) 1/10
  20. 20.Which is bigger: −6/7 or 2/3? (a) 2/3 (b) −6/7
  21. 21.What is the additive inverse of 5/7? (a) 7/5 (b) −7/5 (c) −5/7 (d) 5/7
  22. 22.What is 2/5 + (−3/8)? (a) −1/13 (b) −1/40 (c) 31/40 (d) 1/40
  23. 23.What is the additive inverse of −1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  24. 24.Is −8/2 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/4) + 1/8? (a) 0 (b) −1/8 (c) 1/8 (d) −3/8
  26. 26.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  27. 27.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−1/3) + 4/5? (a) −7/15 (b) −17/15 (c) 7/15 (d) 3/8
  29. 29.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  30. 30.Which is smaller: −5/9 or −1/7? (a) −5/9 (b) −1/7
  31. 31.What is (−1/3) + (−2/9)? (a) −1/4 (b) −1/9 (c) −5/9 (d) 5/9
  32. 32.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −6/27 (d) −2/9
  33. 33.Write −10/14 in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −10/14 (d) −5/7
  34. 34.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  35. 35.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −32/36 (d) −8/9
  36. 36.Which is bigger: −5/9 or 1/4? (a) 1/4 (b) −5/9
  37. 37.What is 1/9 − (−2/5)? (a) 3/14 (b) −13/45 (c) −23/45 (d) 23/45
  38. 38.What is 1/2 + (−3/7)? (a) −1/14 (b) −2/9 (c) 1/14 (d) 13/14
  39. 39.What is (−1/8) − (−1/9)? (a) −17/72 (b) 1/72 (c) 0 (d) −1/72
  40. 40.Is −4/3 positive or negative? (a) Negative (b) Positive

Answer key

  1. Positive
  2. −3/8
  3. 1/9
  4. −4/7
  5. −2/3
  6. −43/56
  7. −4/9
  8. 4/9
  9. 8/9
  10. Positive
  11. Negative
  12. −1/2
  13. 2/21
  14. 7/9
  15. Positive
  16. 1/8
  17. 7/4
  18. −1/3
  19. −9/10
  20. 2/3
  21. −5/7
  22. 1/40
  23. 1/4
  24. Negative
  25. −1/8
  26. Negative
  27. Positive
  28. 7/15
  29. 6
  30. −5/9
  31. −5/9
  32. −2/9
  33. −5/7
  34. 9/5
  35. −8/9
  36. 1/4
  37. 23/45
  38. 1/14
  39. −1/72
  40. Negative

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