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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 842 · 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 bigger: −5/9 or 4/7? (a) −5/9 (b) 4/7
  2. 2.Which is bigger: −1/8 or −6/7? (a) −1/8 (b) −6/7
  3. 3.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −4/16 (c) −1/4 (d) 1/4
  4. 4.What is 1/9 − (−1/7)? (a) 16/63 (b) −16/63 (c) −2/63 (d) 1/8
  5. 5.What is (−5/7) + 1/7? (a) −6/7 (b) 4/7 (c) −2/7 (d) −4/7
  6. 6.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) −1/9 (c) −9/1 (d) 1/9
  7. 7.Is 8/2 positive or negative? (a) Negative (b) Positive
  8. 8.What is 5/7 + (−5/9)? (a) 80/63 (b) 0 (c) 10/63 (d) −10/63
  9. 9.What is the additive inverse of −7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  10. 10.What is 5/8 + (−1/7)? (a) 43/56 (b) −27/56 (c) 27/56 (d) 4/15
  11. 11.Which is bigger: −2/5 or 1/5? (a) 1/5 (b) −2/5
  12. 12.Which is bigger: −2/7 or −7/9? (a) −7/9 (b) −2/7
  13. 13.Which is bigger: −1/3 or −4/9? (a) −4/9 (b) −1/3
  14. 14.What is the additive inverse of −4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  15. 15.Which is bigger: −7/8 or −5/6? (a) −5/6 (b) −7/8
  16. 16.What is 5/8 + (−1/4)? (a) 1/3 (b) 3/8 (c) 7/8 (d) −3/8
  17. 17.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −15/24 (c) −5/8 (d) 5/8
  18. 18.Write −30/36 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −30/36 (c) −5/6 (d) 5/6
  19. 19.Which is bigger: −5/6 or 1/5? (a) 1/5 (b) −5/6
  20. 20.Which is bigger: −2/5 or −6/7? (a) −6/7 (b) −2/5
  21. 21.Is −1/3 positive or negative? (a) Negative (b) Positive
  22. 22.What is (−4/9) + (−8/9)? (a) 4/3 (b) 4/9 (c) −2/3 (d) −4/3
  23. 23.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  24. 24.What is (−3/8) − (−4/5)? (a) 1/13 (b) −17/40 (c) 17/40 (d) −47/40
  25. 25.Is 8/9 positive or negative? (a) Positive (b) Negative
  26. 26.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −10/18 (c) −9/5 (d) −5/9
  27. 27.Is −8/6 positive or negative? (a) Negative (b) Positive
  28. 28.What is the additive inverse of 1/6? (a) −1/6 (b) 1/6 (c) 6 (d) −6
  29. 29.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  30. 30.Is −6/2 positive or negative? (a) Positive (b) Negative
  31. 31.Which is bigger: −5/8 or 3/8? (a) −5/8 (b) 3/8
  32. 32.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  33. 33.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  34. 34.What is 1/4 − (−7/8)? (a) −5/8 (b) 2/3 (c) −9/8 (d) 9/8
  35. 35.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −6/15
  36. 36.What is (−1/5) − (−1/7)? (a) −2/35 (b) −12/35 (c) 2/35 (d) 0
  37. 37.Is −1/(−2) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−1/8) − 3/8? (a) 1/2 (b) 1/4 (c) −1/4 (d) −1/2
  39. 39.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) 1/8 (d) −5/40
  40. 40.What is the additive inverse of −6/7? (a) −7/6 (b) −6/7 (c) 6/7 (d) 7/6

Answer key

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

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