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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 544 · 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 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) −4/5 (c) −5/4 (d) 4/5
  2. 2.What is (−7/9) − (−2/7)? (a) −5/16 (b) −67/63 (c) −31/63 (d) 31/63
  3. 3.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  4. 4.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −5/15 (c) 1/3 (d) −1/3
  5. 5.Which is bigger: −2/7 or −7/9? (a) −2/7 (b) −7/9
  6. 6.What is 5/9 − (−2/9)? (a) −7/9 (b) 1/3 (c) 7/9 (d) 7/18
  7. 7.Which is bigger: −2/9 or 3/5? (a) 3/5 (b) −2/9
  8. 8.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 7/9 (c) 9/7 (d) −9/7
  10. 10.Is 5/(−4) positive or negative? (a) Negative (b) Positive
  11. 11.What is 4/9 + (−2/9)? (a) 2/9 (b) −2/9 (c) 1/9 (d) 2/3
  12. 12.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  13. 13.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  14. 14.Write −8/20 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −8/20 (d) 2/5
  15. 15.Which is bigger: −2/3 or −1/9? (a) −1/9 (b) −2/3
  16. 16.Which is bigger: −3/5 or 1/3? (a) −3/5 (b) 1/3
  17. 17.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −20/24
  18. 18.What is (−2/7) + 1/3? (a) −1/10 (b) −13/21 (c) −1/21 (d) 1/21
  19. 19.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) 5/6 (d) −15/18
  20. 20.What is (−5/6) + (−6/7)? (a) −71/42 (b) 71/42 (c) 1/42 (d) −11/13
  21. 21.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −28/36 (d) −7/9
  22. 22.What is 1/6 + (−1/2)? (a) 0 (b) 2/3 (c) 1/3 (d) −1/3
  23. 23.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  24. 24.What is 1/3 − (−2/9)? (a) 5/9 (b) 1/4 (c) −5/9 (d) 1/9
  25. 25.What is the additive inverse of −1/7? (a) 1/7 (b) −1/7 (c) −7 (d) 7
  26. 26.What is (−7/8) + (−1/7)? (a) 57/56 (b) −57/56 (c) −8/15 (d) −41/56
  27. 27.Is 3/9 positive or negative? (a) Negative (b) Positive
  28. 28.Which is bigger: −4/5 or 1/6? (a) 1/6 (b) −4/5
  29. 29.Which is bigger: −2/3 or 7/8? (a) 7/8 (b) −2/3
  30. 30.Is 8/3 positive or negative? (a) Positive (b) Negative
  31. 31.Which is bigger: −3/4 or −6/7? (a) −6/7 (b) −3/4
  32. 32.Which is bigger: −1/3 or −1/4? (a) −1/4 (b) −1/3
  33. 33.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) −3/7 (c) −7/3 (d) 3/7
  34. 34.What is (−5/9) − 1/9? (a) −4/9 (b) 2/3 (c) −2/3 (d) −1/3
  35. 35.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−8/9) + (−4/7)? (a) 92/63 (b) −3/4 (c) −20/63 (d) −92/63
  38. 38.Write −10/25 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −10/25 (d) 2/5
  39. 39.Is −7/(−8) positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −5/7 or −7/8? (a) −5/7 (b) −7/8

Answer key

  1. −4/5
  2. −31/63
  3. Positive
  4. −1/3
  5. −2/7
  6. 7/9
  7. 3/5
  8. Negative
  9. 9/7
  10. Negative
  11. 2/9
  12. Negative
  13. −9/4
  14. −2/5
  15. −1/9
  16. 1/3
  17. −5/6
  18. 1/21
  19. −5/6
  20. −71/42
  21. −7/9
  22. −1/3
  23. Positive
  24. 5/9
  25. 1/7
  26. −57/56
  27. Positive
  28. 1/6
  29. 7/8
  30. Positive
  31. −3/4
  32. −1/4
  33. −7/3
  34. −2/3
  35. Negative
  36. Positive
  37. −92/63
  38. −2/5
  39. Positive
  40. −5/7

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