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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 400 · 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: −5/7 or 8/9? (a) −5/7 (b) 8/9
  2. 2.What is 1/4 + (−1/8)? (a) 1/8 (b) 0 (c) −1/8 (d) 3/8
  3. 3.Which is smaller: −1/5 or 3/8? (a) 3/8 (b) −1/5
  4. 4.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  5. 5.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  6. 6.What is 5/7 + (−3/8)? (a) −19/56 (b) 2/15 (c) 61/56 (d) 19/56
  7. 7.What is (−8/9) + 5/6? (a) −31/18 (b) 1/18 (c) −1/18 (d) −1/5
  8. 8.What is (−5/6) − 1/6? (a) −1 (b) −1/2 (c) 1 (d) −2/3
  9. 9.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −3/15
  10. 10.What is (−7/9) − 1/8? (a) 65/72 (b) −47/72 (c) −8/17 (d) −65/72
  11. 11.What is (−4/5) + 1/9? (a) 31/45 (b) −41/45 (c) −3/14 (d) −31/45
  12. 12.Which is bigger: −3/4 or −1/3? (a) −3/4 (b) −1/3
  13. 13.Which is smaller: −5/9 or 7/8? (a) −5/9 (b) 7/8
  14. 14.What is 7/9 + (−1/5)? (a) −26/45 (b) 3/7 (c) 26/45 (d) 44/45
  15. 15.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −5/9 or −1/5? (a) −1/5 (b) −5/9
  17. 17.What is the additive inverse of −1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  18. 18.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  19. 19.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −5/9 (c) −9/5 (d) 9/5
  20. 20.Is −7/5 positive or negative? (a) Negative (b) Positive
  21. 21.What is the additive inverse of 5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  22. 22.What is (−4/7) + 7/8? (a) 17/56 (b) −81/56 (c) 1/5 (d) −17/56
  23. 23.Which is bigger: −1/3 or −7/9? (a) −1/3 (b) −7/9
  24. 24.What is the additive inverse of −1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  25. 25.Which is smaller: −2/5 or −3/8? (a) −2/5 (b) −3/8
  26. 26.What is the additive inverse of 5/8? (a) 8/5 (b) −5/8 (c) 5/8 (d) −8/5
  27. 27.What is (−3/7) − (−8/9)? (a) −29/63 (b) 5/16 (c) 29/63 (d) −83/63
  28. 28.Which is bigger: −1/6 or −1/2? (a) −1/6 (b) −1/2
  29. 29.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  30. 30.Write −15/40 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −15/40 (c) −3/8 (d) −8/3
  31. 31.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−7/8) − 7/8? (a) −7/4 (b) −7/8 (c) 7/4 (d) 0
  33. 33.What is the additive inverse of 3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  34. 34.What is (−2/7) + 7/8? (a) 33/56 (b) −65/56 (c) −33/56 (d) 1/3
  35. 35.Is 4/7 positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  37. 37.What is (−4/7) + 1/9? (a) −43/63 (b) −3/16 (c) 29/63 (d) −29/63
  38. 38.What is (−2/9) − (−3/7)? (a) −41/63 (b) −13/63 (c) 1/16 (d) 13/63
  39. 39.Which is bigger: −8/9 or −1/5? (a) −8/9 (b) −1/5
  40. 40.What is 5/6 + (−1/3)? (a) 7/6 (b) 4/9 (c) −1/2 (d) 1/2

Answer key

  1. 8/9
  2. 1/8
  3. −1/5
  4. 7
  5. 9/5
  6. 19/56
  7. −1/18
  8. −1
  9. −1/5
  10. −65/72
  11. −31/45
  12. −1/3
  13. −5/9
  14. 26/45
  15. Negative
  16. −1/5
  17. 1/3
  18. Negative
  19. −9/5
  20. Negative
  21. −5/6
  22. 17/56
  23. −1/3
  24. 1/6
  25. −2/5
  26. −5/8
  27. 29/63
  28. −1/6
  29. Positive
  30. −3/8
  31. Negative
  32. −7/4
  33. −3/8
  34. 33/56
  35. Positive
  36. −1/2
  37. −29/63
  38. 13/63
  39. −1/5
  40. 1/2

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