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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 934 · 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 2/9 − (−1/3)? (a) −1/9 (b) 5/9 (c) 1/4 (d) −5/9
  2. 2.Write −4/6 in standard form (lowest terms, positive denominator). (a) −4/6 (b) −3/2 (c) 2/3 (d) −2/3
  3. 3.Write −8/14 in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −7/4 (d) −8/14
  4. 4.What is (−4/9) + 1/6? (a) 5/18 (b) −11/18 (c) −1/5 (d) −5/18
  5. 5.Is −7/(−7) positive or negative? (a) Negative (b) Positive
  6. 6.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  8. 8.Which is smaller: −1/6 or −8/9? (a) −8/9 (b) −1/6
  9. 9.What is 4/9 + (−1/5)? (a) −11/45 (b) 29/45 (c) 3/14 (d) 11/45
  10. 10.What is (−4/7) − (−5/9)? (a) −1/63 (b) 1/63 (c) −71/63 (d) 1/16
  11. 11.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  12. 12.Is −6/3 positive or negative? (a) Negative (b) Positive
  13. 13.Is 6/8 positive or negative? (a) Negative (b) Positive
  14. 14.Is −2/9 positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  16. 16.What is (−5/8) − 8/9? (a) 109/72 (b) 19/72 (c) −109/72 (d) −13/17
  17. 17.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −2/12 (b) 1/6 (c) −1/6 (d) −6/1
  18. 18.Which is smaller: −5/9 or −6/7? (a) −5/9 (b) −6/7
  19. 19.What is (−5/8) + 6/7? (a) −83/56 (b) −13/56 (c) 1/15 (d) 13/56
  20. 20.What is the additive inverse of 3/8? (a) 3/8 (b) 8/3 (c) −3/8 (d) −8/3
  21. 21.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −3/18 (c) −6/1 (d) −1/6
  22. 22.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  23. 23.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −5/6 or −3/4? (a) −3/4 (b) −5/6
  25. 25.What is (−1/4) − 1/3? (a) 1/12 (b) 7/12 (c) −7/12 (d) −2/7
  26. 26.Which is smaller: −1/9 or −5/9? (a) −1/9 (b) −5/9
  27. 27.What is the additive inverse of 5/9? (a) 5/9 (b) −9/5 (c) 9/5 (d) −5/9
  28. 28.Is 2/7 positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  30. 30.Is −2/3 positive or negative? (a) Positive (b) Negative
  31. 31.Write −20/32 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −20/32 (d) −5/8
  32. 32.Is 4/2 positive or negative? (a) Negative (b) Positive
  33. 33.Write −48/54 in standard form (lowest terms, positive denominator). (a) −48/54 (b) −9/8 (c) −8/9 (d) 8/9
  34. 34.What is (−3/8) − 6/7? (a) 27/56 (b) 69/56 (c) −3/5 (d) −69/56
  35. 35.Write −40/45 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −40/45 (d) −9/8
  36. 36.What is (−3/7) + 1/6? (a) −2/13 (b) −25/42 (c) 11/42 (d) −11/42
  37. 37.What is (−3/4) − (−5/7)? (a) −41/28 (b) 1/28 (c) −1/28 (d) 2/11
  38. 38.What is the additive inverse of 1/8? (a) 1/8 (b) −1/8 (c) 8 (d) −8
  39. 39.Which is smaller: −5/8 or −1/9? (a) −5/8 (b) −1/9
  40. 40.Is 5/9 positive or negative? (a) Positive (b) Negative

Answer key

  1. 5/9
  2. −2/3
  3. −4/7
  4. −5/18
  5. Positive
  6. Negative
  7. 8
  8. −8/9
  9. 11/45
  10. −1/63
  11. Negative
  12. Negative
  13. Positive
  14. Negative
  15. −9/5
  16. −109/72
  17. −1/6
  18. −6/7
  19. 13/56
  20. −3/8
  21. −1/6
  22. Negative
  23. Positive
  24. −3/4
  25. −7/12
  26. −5/9
  27. −5/9
  28. Positive
  29. −2
  30. Negative
  31. −5/8
  32. Positive
  33. −8/9
  34. −69/56
  35. −8/9
  36. −11/42
  37. −1/28
  38. −1/8
  39. −5/8
  40. Positive

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