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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 820 · 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 8/9 + (−1/3)? (a) −5/9 (b) 5/9 (c) 7/12 (d) 11/9
  2. 2.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  3. 3.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −2/5 or −4/5? (a) −2/5 (b) −4/5
  5. 5.What is (−7/9) + 1/8? (a) −47/72 (b) 47/72 (c) −65/72 (d) −6/17
  6. 6.Which is bigger: −1/2 or −8/9? (a) −1/2 (b) −8/9
  7. 7.Write −4/28 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −4/28 (c) −1/7 (d) −7/1
  8. 8.What is (−5/8) − (−1/9)? (a) 37/72 (b) −4/17 (c) −37/72 (d) −53/72
  9. 9.Which is smaller: −1/5 or −5/7? (a) −1/5 (b) −5/7
  10. 10.What is 1/9 − (−3/8)? (a) 35/72 (b) −19/72 (c) 4/17 (d) −35/72
  11. 11.What is (−2/3) + 1/4? (a) −1/7 (b) −11/12 (c) −5/12 (d) 5/12
  12. 12.Is −9/(−8) positive or negative? (a) Positive (b) Negative
  13. 13.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  14. 14.Write −8/36 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −8/36 (c) −9/2 (d) −2/9
  15. 15.What is 3/5 − (−1/4)? (a) 4/9 (b) 7/20 (c) −17/20 (d) 17/20
  16. 16.Write −8/10 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) −8/10 (d) 4/5
  17. 17.What is (−2/7) + 1/6? (a) −1/13 (b) −19/42 (c) −5/42 (d) 5/42
  18. 18.Write −3/27 in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) −1/9 (d) 1/9
  19. 19.What is the additive inverse of −3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  20. 20.What is 5/9 − (−4/7)? (a) −71/63 (b) 71/63 (c) −1/63 (d) 9/16
  21. 21.Which is bigger: −1/4 or 3/5? (a) −1/4 (b) 3/5
  22. 22.Is 1/6 positive or negative? (a) Positive (b) Negative
  23. 23.What is (−1/8) + 3/8? (a) 1/4 (b) −1/4 (c) −1/2 (d) 1/8
  24. 24.What is (−5/8) − 7/9? (a) −12/17 (b) 101/72 (c) −101/72 (d) 11/72
  25. 25.Is 9/3 positive or negative? (a) Positive (b) Negative
  26. 26.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  27. 27.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  28. 28.Which is smaller: −2/5 or −6/7? (a) −2/5 (b) −6/7
  29. 29.Which is bigger: −1/2 or −3/7? (a) −1/2 (b) −3/7
  30. 30.Which is smaller: −5/7 or 1/3? (a) 1/3 (b) −5/7
  31. 31.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −3/8 or 5/8? (a) 5/8 (b) −3/8
  33. 33.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −35/45 (d) −7/9
  34. 34.What is 2/9 + (−7/8)? (a) −5/17 (b) −47/72 (c) 79/72 (d) 47/72
  35. 35.What is (−4/5) + 1/8? (a) 27/40 (b) −3/13 (c) −37/40 (d) −27/40
  36. 36.Which is bigger: −2/3 or −8/9? (a) −2/3 (b) −8/9
  37. 37.What is (−1/4) − 1/9? (a) −2/13 (b) −5/36 (c) −13/36 (d) 13/36
  38. 38.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −5/20 (c) −1/4 (d) −4/1
  39. 39.What is (−5/9) − 5/7? (a) −80/63 (b) −5/8 (c) 10/63 (d) 80/63
  40. 40.What is the additive inverse of −5/9? (a) 5/9 (b) −5/9 (c) −9/5 (d) 9/5

Answer key

  1. 5/9
  2. Negative
  3. Negative
  4. −4/5
  5. −47/72
  6. −1/2
  7. −1/7
  8. −37/72
  9. −5/7
  10. 35/72
  11. −5/12
  12. Positive
  13. 9/5
  14. −2/9
  15. 17/20
  16. −4/5
  17. −5/42
  18. −1/9
  19. 3/4
  20. 71/63
  21. 3/5
  22. Positive
  23. 1/4
  24. −101/72
  25. Positive
  26. Positive
  27. Negative
  28. −6/7
  29. −3/7
  30. −5/7
  31. Positive
  32. −3/8
  33. −7/9
  34. −47/72
  35. −27/40
  36. −2/3
  37. −13/36
  38. −1/4
  39. −80/63
  40. 5/9

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