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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 160 · 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 −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −2/10 (c) 1/5 (d) −1/5
  2. 2.Which is smaller: −8/9 or 3/5? (a) 3/5 (b) −8/9
  3. 3.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  4. 4.Which is bigger: −5/6 or 2/5? (a) −5/6 (b) 2/5
  5. 5.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  6. 6.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  7. 7.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  8. 8.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  9. 9.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  11. 11.Is −3/2 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−2/5) + (−3/5)? (a) 1/5 (b) −1 (c) 1 (d) −1/2
  13. 13.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) −5/8 (c) 5/8 (d) −8/5
  14. 14.What is (−6/7) + (−1/8)? (a) −7/15 (b) −55/56 (c) −41/56 (d) 55/56
  15. 15.What is (−5/9) − (−3/8)? (a) −13/72 (b) −2/17 (c) −67/72 (d) 13/72
  16. 16.What is 5/9 − (−5/7)? (a) −10/63 (b) −80/63 (c) 80/63 (d) 5/8
  17. 17.What is (−6/7) − 1/8? (a) −41/56 (b) −55/56 (c) 55/56 (d) −7/15
  18. 18.What is (−8/9) + (−3/8)? (a) −37/72 (b) 91/72 (c) −11/17 (d) −91/72
  19. 19.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −4/12
  20. 20.What is (−4/9) − 3/7? (a) −1/63 (b) 55/63 (c) −7/16 (d) −55/63
  21. 21.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  22. 22.What is 5/9 + (−1/3)? (a) 2/9 (b) 8/9 (c) −2/9 (d) 1/3
  23. 23.What is (−1/7) − (−1/2)? (a) 5/14 (b) −9/14 (c) −5/14 (d) 0
  24. 24.What is the additive inverse of −3/8? (a) −8/3 (b) −3/8 (c) 8/3 (d) 3/8
  25. 25.What is (−1/8) + (−1/4)? (a) 3/8 (b) 1/8 (c) −3/8 (d) −1/6
  26. 26.Which is bigger: −2/7 or −1/6? (a) −1/6 (b) −2/7
  27. 27.What is the additive inverse of −7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  28. 28.What is (−5/8) + 1/5? (a) −17/40 (b) 17/40 (c) −4/13 (d) −33/40
  29. 29.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  30. 30.Is −8/5 positive or negative? (a) Positive (b) Negative
  31. 31.What is (−3/8) − 1/6? (a) 13/24 (b) −5/24 (c) −13/24 (d) −2/7
  32. 32.What is the additive inverse of −3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  33. 33.Is 6/9 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−1/7) + 7/9? (a) −58/63 (b) 3/8 (c) −40/63 (d) 40/63
  35. 35.What is the additive inverse of 1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  36. 36.What is (−7/9) − 1/2? (a) −8/11 (b) −23/18 (c) 23/18 (d) −5/18
  37. 37.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  38. 38.What is (−2/9) + (−3/7)? (a) −41/63 (b) 41/63 (c) −5/16 (d) 13/63
  39. 39.What is (−1/4) − 5/6? (a) 13/12 (b) −3/5 (c) 7/12 (d) −13/12
  40. 40.What is the additive inverse of −1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4

Answer key

  1. −1/5
  2. −8/9
  3. 9/2
  4. 2/5
  5. Negative
  6. Negative
  7. Negative
  8. −5/2
  9. Negative
  10. −8/9
  11. Negative
  12. −1
  13. −5/8
  14. −55/56
  15. −13/72
  16. 80/63
  17. −55/56
  18. −91/72
  19. −1/3
  20. −55/63
  21. Negative
  22. 2/9
  23. 5/14
  24. 3/8
  25. −3/8
  26. −1/6
  27. 7/9
  28. −17/40
  29. Positive
  30. Negative
  31. −13/24
  32. 3/4
  33. Positive
  34. 40/63
  35. −1/7
  36. −23/18
  37. −1/4
  38. −41/63
  39. −13/12
  40. 1/4

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