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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 966 · 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 −5/40 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −5/40 (c) 1/8 (d) −1/8
  2. 2.Which is smaller: −1/2 or −8/9? (a) −8/9 (b) −1/2
  3. 3.What is 1/9 − (−1/6)? (a) 5/18 (b) 2/15 (c) −5/18 (d) −1/18
  4. 4.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  5. 5.Is 5/6 positive or negative? (a) Negative (b) Positive
  6. 6.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −9/24 (c) −8/3 (d) −3/8
  7. 7.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −15/25 (b) −3/5 (c) 3/5 (d) −5/3
  8. 8.Is −3/8 positive or negative? (a) Positive (b) Negative
  9. 9.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −6/8 (d) −4/3
  10. 10.What is 1/5 − (−4/7)? (a) 5/12 (b) 27/35 (c) −13/35 (d) −27/35
  11. 11.Which is smaller: −1/6 or −2/7? (a) −1/6 (b) −2/7
  12. 12.What is (−2/7) + (−5/8)? (a) 19/56 (b) −7/15 (c) −51/56 (d) 51/56
  13. 13.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  14. 14.What is 1/2 + (−1/7)? (a) 0 (b) 9/14 (c) −5/14 (d) 5/14
  15. 15.Is 1/4 positive or negative? (a) Positive (b) Negative
  16. 16.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −12/18 (d) −2/3
  17. 17.What is the additive inverse of −7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  18. 18.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −18/30
  19. 19.Is 9/7 positive or negative? (a) Positive (b) Negative
  20. 20.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −20/32 (b) 5/8 (c) −5/8 (d) −8/5
  21. 21.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  22. 22.What is the additive inverse of −1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  23. 23.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  24. 24.What is (−5/8) − 1/5? (a) 33/40 (b) −33/40 (c) −17/40 (d) −6/13
  25. 25.Is 6/2 positive or negative? (a) Positive (b) Negative
  26. 26.Which is bigger: −6/7 or −2/5? (a) −2/5 (b) −6/7
  27. 27.Is 1/(−9) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−1/9) − (−4/5)? (a) −31/45 (b) 31/45 (c) 3/14 (d) −41/45
  29. 29.What is (−8/9) − 4/7? (a) −3/4 (b) −20/63 (c) 92/63 (d) −92/63
  30. 30.What is the additive inverse of 8/9? (a) 9/8 (b) −8/9 (c) 8/9 (d) −9/8
  31. 31.What is (−4/5) − (−1/4)? (a) 11/20 (b) −1/3 (c) −21/20 (d) −11/20
  32. 32.Is 4/(−2) positive or negative? (a) Positive (b) Negative
  33. 33.Write −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) −8/9 (c) 8/9 (d) −9/8
  34. 34.What is 1/3 − (−6/7)? (a) 25/21 (b) 7/10 (c) −25/21 (d) −11/21
  35. 35.What is 1/4 + (−5/6)? (a) 13/12 (b) 7/12 (c) −7/12 (d) −2/5
  36. 36.Is 4/(−4) positive or negative? (a) Negative (b) Positive
  37. 37.Write −15/20 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −15/20 (d) −3/4
  38. 38.Is −9/(−2) positive or negative? (a) Positive (b) Negative
  39. 39.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −28/32
  40. 40.What is (−3/4) + 1/3? (a) 5/12 (b) −13/12 (c) −5/12 (d) −2/7

Answer key

  1. −1/8
  2. −8/9
  3. 5/18
  4. Positive
  5. Positive
  6. −3/8
  7. −3/5
  8. Negative
  9. −3/4
  10. 27/35
  11. −2/7
  12. −51/56
  13. Negative
  14. 5/14
  15. Positive
  16. −2/3
  17. 7/8
  18. −3/5
  19. Positive
  20. −5/8
  21. Negative
  22. 1/9
  23. 2
  24. −33/40
  25. Positive
  26. −2/5
  27. Negative
  28. 31/45
  29. −92/63
  30. −8/9
  31. −11/20
  32. Negative
  33. −8/9
  34. 25/21
  35. −7/12
  36. Negative
  37. −3/4
  38. Positive
  39. −7/8
  40. −5/12

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