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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 322 · 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).

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  1. 1.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) −1/3 (c) −3/1 (d) 1/3
  2. 2.Which is smaller: −3/4 or −5/8? (a) −5/8 (b) −3/4
  3. 3.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) 1/6 (c) −1/6 (d) −6/1
  4. 4.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  5. 5.Is −8/7 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−1/9) − 7/9? (a) 8/9 (b) 2/3 (c) −8/9 (d) −4/9
  7. 7.What is the reciprocal (multiplicative inverse) of 2/7? (a) −7/2 (b) −2/7 (c) 2/7 (d) 7/2
  8. 8.What is (−1/3) − 5/8? (a) 23/24 (b) −6/11 (c) 7/24 (d) −23/24
  9. 9.What is the additive inverse of −7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  10. 10.Write −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −20/28 (d) −5/7
  11. 11.Is 2/6 positive or negative? (a) Positive (b) Negative
  12. 12.Which is bigger: −3/5 or 4/5? (a) −3/5 (b) 4/5
  13. 13.Write −6/27 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) 2/9 (d) −6/27
  14. 14.Which is smaller: −1/4 or −5/6? (a) −5/6 (b) −1/4
  15. 15.What is 5/6 − (−5/6)? (a) 0 (b) 5/6 (c) −5/3 (d) 5/3
  16. 16.Write −5/20 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −5/20 (d) 1/4
  17. 17.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −9/12
  18. 18.What is 1/4 − (−1/4)? (a) 1/4 (b) 0 (c) −1/2 (d) 1/2
  19. 19.What is 1/2 − (−1/6)? (a) −2/3 (b) 2/3 (c) 1/4 (d) 1/3
  20. 20.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) −3/24 (d) 1/8
  21. 21.Which is smaller: −3/4 or −2/3? (a) −2/3 (b) −3/4
  22. 22.Is −2/6 positive or negative? (a) Negative (b) Positive
  23. 23.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) −1/5 (c) −5/1 (d) 1/5
  24. 24.Which is bigger: −4/9 or −4/7? (a) −4/9 (b) −4/7
  25. 25.Which is smaller: −1/6 or −1/7? (a) −1/6 (b) −1/7
  26. 26.Is −1/9 positive or negative? (a) Negative (b) Positive
  27. 27.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) −2/4 (d) 1/2
  28. 28.What is (−7/8) − 2/3? (a) −5/24 (b) −37/24 (c) −9/11 (d) 37/24
  29. 29.What is (−1/6) + (−1/7)? (a) −1/42 (b) −2/13 (c) 13/42 (d) −13/42
  30. 30.Is 3/5 positive or negative? (a) Positive (b) Negative
  31. 31.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/2) + 7/9? (a) −5/18 (b) −23/18 (c) 5/18 (d) 6/11
  33. 33.What is (−8/9) − 1/5? (a) −49/45 (b) −9/14 (c) −31/45 (d) 49/45
  34. 34.What is (−5/7) − (−4/5)? (a) −3/35 (b) −53/35 (c) −1/12 (d) 3/35
  35. 35.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  36. 36.Which is smaller: −1/8 or 4/9? (a) 4/9 (b) −1/8
  37. 37.Write −16/36 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −16/36 (d) −4/9
  38. 38.What is 1/3 + (−6/7)? (a) −11/21 (b) 11/21 (c) 25/21 (d) −1/2
  39. 39.What is (−1/8) − 2/9? (a) 7/72 (b) 25/72 (c) −3/17 (d) −25/72
  40. 40.Which is smaller: −5/8 or −3/7? (a) −5/8 (b) −3/7

Answer key

  1. −1/3
  2. −3/4
  3. −1/6
  4. −6
  5. Negative
  6. −8/9
  7. 7/2
  8. −23/24
  9. 7/9
  10. −5/7
  11. Positive
  12. 4/5
  13. −2/9
  14. −5/6
  15. 5/3
  16. −1/4
  17. −3/4
  18. 1/2
  19. 2/3
  20. −1/8
  21. −3/4
  22. Negative
  23. −1/5
  24. −4/9
  25. −1/6
  26. Negative
  27. −1/2
  28. −37/24
  29. −13/42
  30. Positive
  31. Negative
  32. 5/18
  33. −49/45
  34. 3/35
  35. Negative
  36. −1/8
  37. −4/9
  38. −11/21
  39. −25/72
  40. −5/8

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