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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 99 · 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 (−5/8) − 1/8? (a) −1/2 (b) −3/8 (c) −3/4 (d) 3/4
  2. 2.Is 7/8 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−3/4) + 3/5? (a) −27/20 (b) 0 (c) 3/20 (d) −3/20
  4. 4.What is (−1/3) + (−1/3)? (a) −1/3 (b) 2/3 (c) 0 (d) −2/3
  5. 5.What is 3/8 − (−1/2)? (a) −7/8 (b) −1/8 (c) 7/8 (d) 2/5
  6. 6.Which is smaller: −2/3 or −4/5? (a) −2/3 (b) −4/5
  7. 7.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −25/45 (b) 5/9 (c) −9/5 (d) −5/9
  8. 8.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −35/40 (d) −7/8
  9. 9.What is (−3/4) + 1/5? (a) −19/20 (b) 11/20 (c) −2/9 (d) −11/20
  10. 10.Which is smaller: −6/7 or −4/7? (a) −6/7 (b) −4/7
  11. 11.Write −10/18 in standard form (lowest terms, positive denominator). (a) −10/18 (b) −9/5 (c) −5/9 (d) 5/9
  12. 12.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) −15/24 (d) 5/8
  13. 13.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  14. 14.Write −9/12 in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −9/12
  15. 15.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −4/14 (b) 2/7 (c) −7/2 (d) −2/7
  16. 16.Which is bigger: −3/8 or 1/5? (a) 1/5 (b) −3/8
  17. 17.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  18. 18.What is (−2/3) − 7/8? (a) 5/24 (b) −37/24 (c) 37/24 (d) −9/11
  19. 19.Which is bigger: −1/2 or −5/8? (a) −5/8 (b) −1/2
  20. 20.Which is smaller: −3/5 or 2/5? (a) 2/5 (b) −3/5
  21. 21.What is the additive inverse of 3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  22. 22.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −6/14 (b) −7/3 (c) −3/7 (d) 3/7
  23. 23.What is the additive inverse of −8/9? (a) 9/8 (b) 8/9 (c) −9/8 (d) −8/9
  24. 24.Is 2/7 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−7/8) + (−1/8)? (a) −1 (b) −3/4 (c) 1 (d) −1/2
  26. 26.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  27. 27.What is the additive inverse of 4/9? (a) −4/9 (b) −9/4 (c) 9/4 (d) 4/9
  28. 28.What is (−3/7) − 1/5? (a) −22/35 (b) −1/3 (c) 22/35 (d) −8/35
  29. 29.What is 7/9 − (−1/3)? (a) 4/9 (b) 10/9 (c) −10/9 (d) 2/3
  30. 30.What is the additive inverse of 1/4? (a) 4 (b) −1/4 (c) 1/4 (d) −4
  31. 31.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  32. 32.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) −8/3 (c) −3/8 (d) 3/8
  33. 33.What is (−2/9) + (−1/7)? (a) −23/63 (b) 23/63 (c) −3/16 (d) −5/63
  34. 34.Which is smaller: −1/2 or 2/9? (a) 2/9 (b) −1/2
  35. 35.What is the additive inverse of 1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  36. 36.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) 1/5 (c) 5 (d) −5
  37. 37.Write −6/21 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −6/21 (c) −2/7 (d) 2/7
  38. 38.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−7/9) + 1/4? (a) −37/36 (b) −19/36 (c) 19/36 (d) −6/13
  40. 40.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) 4/5 (c) −4/5 (d) −5/4

Answer key

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

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