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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 957 · 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.Is −2/6 positive or negative? (a) Negative (b) Positive
  2. 2.Write −14/16 in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −14/16 (d) −8/7
  3. 3.What is (−1/2) + (−1/3)? (a) 5/6 (b) −1/6 (c) −5/6 (d) −2/5
  4. 4.Which is smaller: −7/9 or −1/8? (a) −7/9 (b) −1/8
  5. 5.What is (−2/7) + 1/2? (a) 3/14 (b) −3/14 (c) −1/9 (d) −11/14
  6. 6.Is −2/3 positive or negative? (a) Positive (b) Negative
  7. 7.Is 1/2 positive or negative? (a) Positive (b) Negative
  8. 8.Which is bigger: −2/3 or 4/9? (a) −2/3 (b) 4/9
  9. 9.What is 3/7 + (−1/6)? (a) 25/42 (b) −11/42 (c) 11/42 (d) 2/13
  10. 10.What is 1/9 + (−2/3)? (a) −1/12 (b) 5/9 (c) −5/9 (d) 7/9
  11. 11.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −30/36 (d) 5/6
  12. 12.Which is bigger: −2/3 or −2/5? (a) −2/5 (b) −2/3
  13. 13.Is −9/5 positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  15. 15.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −5/45 (c) −1/9 (d) 1/9
  16. 16.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −6/24 (c) −1/4 (d) −4/1
  17. 17.Is −3/(−8) positive or negative? (a) Negative (b) Positive
  18. 18.What is (−5/9) − (−5/7)? (a) −80/63 (b) 0 (c) −10/63 (d) 10/63
  19. 19.Is −4/7 positive or negative? (a) Positive (b) Negative
  20. 20.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −7/2 (c) 2/7 (d) −2/7
  21. 21.What is 1/3 + (−5/6)? (a) 7/6 (b) 1/2 (c) −4/9 (d) −1/2
  22. 22.Which is smaller: −5/7 or −1/5? (a) −5/7 (b) −1/5
  23. 23.What is (−5/8) − 2/5? (a) 41/40 (b) −41/40 (c) −7/13 (d) −9/40
  24. 24.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−5/8) + (−5/8)? (a) 5/4 (b) −5/4 (c) 0 (d) −5/8
  26. 26.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −3/18 (c) −1/6 (d) 1/6
  27. 27.What is 3/4 + (−2/7)? (a) 13/28 (b) 29/28 (c) 1/11 (d) −13/28
  28. 28.Which is smaller: −2/3 or 3/8? (a) 3/8 (b) −2/3
  29. 29.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  30. 30.What is 4/7 + (−3/4)? (a) 5/28 (b) 37/28 (c) 1/11 (d) −5/28
  31. 31.Which is bigger: −5/8 or 7/8? (a) 7/8 (b) −5/8
  32. 32.Which is bigger: −7/9 or 3/5? (a) −7/9 (b) 3/5
  33. 33.What is (−1/3) + (−1/3)? (a) −2/3 (b) 2/3 (c) −1/3 (d) 0
  34. 34.Write −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) 6/7 (c) −7/6 (d) −6/7
  35. 35.What is (−1/5) + 3/8? (a) 7/40 (b) −23/40 (c) 2/13 (d) −7/40
  36. 36.What is (−1/7) + (−3/7)? (a) −2/7 (b) −4/7 (c) 4/7 (d) 2/7
  37. 37.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  38. 38.What is (−2/5) − 1/5? (a) −1/5 (b) 3/5 (c) −3/10 (d) −3/5
  39. 39.Write −24/27 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −24/27 (c) −9/8 (d) −8/9
  40. 40.What is (−1/8) − (−6/7)? (a) 41/56 (b) −55/56 (c) 1/3 (d) −41/56

Answer key

  1. Negative
  2. −7/8
  3. −5/6
  4. −7/9
  5. 3/14
  6. Negative
  7. Positive
  8. 4/9
  9. 11/42
  10. −5/9
  11. −5/6
  12. −2/5
  13. Negative
  14. 8/7
  15. −1/9
  16. −1/4
  17. Positive
  18. 10/63
  19. Negative
  20. −2/7
  21. −1/2
  22. −5/7
  23. −41/40
  24. Negative
  25. −5/4
  26. −1/6
  27. 13/28
  28. −2/3
  29. 5/4
  30. −5/28
  31. 7/8
  32. 3/5
  33. −2/3
  34. −6/7
  35. 7/40
  36. −4/7
  37. −1/3
  38. −3/5
  39. −8/9
  40. 41/56

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