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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 321 · 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 the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  2. 2.Write −4/36 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −4/36 (d) 1/9
  3. 3.What is 1/4 + (−1/2)? (a) −1/4 (b) 1/4 (c) 0 (d) 3/4
  4. 4.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  5. 5.Which is smaller: −1/6 or 2/3? (a) 2/3 (b) −1/6
  6. 6.What is the additive inverse of −4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  7. 7.Which is bigger: −3/7 or −1/2? (a) −3/7 (b) −1/2
  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 (−7/9) + 2/3? (a) −13/9 (b) 1/9 (c) −5/12 (d) −1/9
  10. 10.Write −24/27 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −24/27 (c) −9/8 (d) 8/9
  11. 11.Which is smaller: −1/3 or 4/7? (a) −1/3 (b) 4/7
  12. 12.Which is smaller: −1/2 or −4/5? (a) −1/2 (b) −4/5
  13. 13.What is (−1/8) − (−5/7)? (a) −47/56 (b) −33/56 (c) 4/15 (d) 33/56
  14. 14.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −6/24 (b) −4/1 (c) −1/4 (d) 1/4
  15. 15.What is 1/8 + (−2/7)? (a) −1/15 (b) 23/56 (c) −9/56 (d) 9/56
  16. 16.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  17. 17.Is −3/(−6) positive or negative? (a) Negative (b) Positive
  18. 18.What is (−1/7) − 1/6? (a) 1/42 (b) 13/42 (c) −2/13 (d) −13/42
  19. 19.Which is smaller: −1/7 or −4/7? (a) −1/7 (b) −4/7
  20. 20.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) −1/8 (c) 1/8 (d) 8
  21. 21.What is (−5/9) + 8/9? (a) −13/9 (b) 1/6 (c) −1/3 (d) 1/3
  22. 22.Which is bigger: −1/6 or −2/9? (a) −2/9 (b) −1/6
  23. 23.What is (−3/8) + 1/7? (a) −29/56 (b) −13/56 (c) 13/56 (d) −2/15
  24. 24.What is (−1/4) + (−1/4)? (a) −1/4 (b) −1/2 (c) 1/2 (d) 0
  25. 25.What is 5/6 + (−7/8)? (a) 1/24 (b) −1/7 (c) 41/24 (d) −1/24
  26. 26.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/9 (b) −1/3 (c) 1/3 (d) −3/1
  27. 27.Is −6/2 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−5/7) − 4/7? (a) −9/14 (b) −9/7 (c) 9/7 (d) −1/7
  29. 29.Is −8/(−7) positive or negative? (a) Positive (b) Negative
  30. 30.What is 2/5 + (−2/3)? (a) 4/15 (b) −4/15 (c) 16/15 (d) 0
  31. 31.What is (−2/5) + (−5/8)? (a) 41/40 (b) −7/13 (c) 9/40 (d) −41/40
  32. 32.What is 6/7 + (−1/5)? (a) 23/35 (b) 37/35 (c) −23/35 (d) 5/12
  33. 33.Which is smaller: −1/4 or −1/2? (a) −1/2 (b) −1/4
  34. 34.What is 5/9 − (−1/9)? (a) 2/3 (b) 1/3 (c) 4/9 (d) −2/3
  35. 35.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  36. 36.Which is bigger: −1/6 or −3/8? (a) −1/6 (b) −3/8
  37. 37.Which is bigger: −1/2 or 7/9? (a) 7/9 (b) −1/2
  38. 38.What is 2/5 − (−3/7)? (a) −1/35 (b) −29/35 (c) 5/12 (d) 29/35
  39. 39.Which is smaller: −5/9 or 1/8? (a) −5/9 (b) 1/8
  40. 40.Is −3/(−9) positive or negative? (a) Positive (b) Negative

Answer key

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

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