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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 860 · 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.Which is smaller: −5/8 or 5/7? (a) −5/8 (b) 5/7
  2. 2.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −25/45 (c) −9/5 (d) 5/9
  3. 3.Is −2/4 positive or negative? (a) Negative (b) Positive
  4. 4.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −5/40 (c) −1/8 (d) −8/1
  5. 5.Which is smaller: −2/9 or −1/9? (a) −2/9 (b) −1/9
  6. 6.Is −1/4 positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  8. 8.Which is bigger: −5/7 or 6/7? (a) −5/7 (b) 6/7
  9. 9.Which is smaller: −2/9 or 3/5? (a) −2/9 (b) 3/5
  10. 10.Write −8/36 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −8/36 (c) 2/9 (d) −2/9
  11. 11.Is 3/7 positive or negative? (a) Negative (b) Positive
  12. 12.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −6/18 (d) −1/3
  13. 13.What is 5/7 − (−5/8)? (a) 75/56 (b) 5/56 (c) 2/3 (d) −75/56
  14. 14.What is (−2/3) − (−2/9)? (a) 4/9 (b) 0 (c) −4/9 (d) −8/9
  15. 15.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  16. 16.What is (−3/4) − 1/7? (a) −17/28 (b) −25/28 (c) 25/28 (d) −4/11
  17. 17.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −4/10 (c) −5/2 (d) 2/5
  18. 18.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  19. 19.What is (−2/3) + (−7/8)? (a) −9/11 (b) 37/24 (c) −37/24 (d) 5/24
  20. 20.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  21. 21.What is the additive inverse of −3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  22. 22.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  23. 23.What is (−8/9) − 2/3? (a) −5/6 (b) 14/9 (c) −2/9 (d) −14/9
  24. 24.What is 1/6 + (−3/5)? (a) 13/30 (b) 23/30 (c) −13/30 (d) −2/11
  25. 25.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  26. 26.Which is bigger: −2/9 or −1/5? (a) −2/9 (b) −1/5
  27. 27.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  28. 28.What is (−3/4) − 5/6? (a) −19/12 (b) −4/5 (c) 19/12 (d) 1/12
  29. 29.What is (−7/8) − (−1/4)? (a) −9/8 (b) 5/8 (c) −5/8 (d) −1/2
  30. 30.What is (−2/5) − 4/5? (a) −3/5 (b) 6/5 (c) −6/5 (d) 2/5
  31. 31.What is (−1/9) + (−6/7)? (a) 47/63 (b) 61/63 (c) −61/63 (d) −7/16
  32. 32.What is (−3/4) + 7/8? (a) 1/3 (b) −1/8 (c) 1/8 (d) −13/8
  33. 33.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  34. 34.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −5/3 (d) −15/25
  35. 35.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−6/7) − (−3/8)? (a) 27/56 (b) −1/5 (c) −69/56 (d) −27/56
  37. 37.Is −5/(−8) positive or negative? (a) Positive (b) Negative
  38. 38.Write −8/12 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −8/12 (d) −2/3
  39. 39.What is 1/2 + (−5/6)? (a) 1/3 (b) −1/2 (c) 4/3 (d) −1/3
  40. 40.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2

Answer key

  1. −5/8
  2. −5/9
  3. Negative
  4. −1/8
  5. −2/9
  6. Negative
  7. −9/8
  8. 6/7
  9. −2/9
  10. −2/9
  11. Positive
  12. −1/3
  13. 75/56
  14. −4/9
  15. −1/8
  16. −25/28
  17. −2/5
  18. 5/3
  19. −37/24
  20. Negative
  21. 3/7
  22. −3
  23. −14/9
  24. −13/30
  25. Positive
  26. −1/5
  27. 7/4
  28. −19/12
  29. −5/8
  30. −6/5
  31. −61/63
  32. 1/8
  33. −2/5
  34. −3/5
  35. Negative
  36. −27/56
  37. Positive
  38. −2/3
  39. −1/3
  40. 2

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