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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 547 · 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.Is 5/7 positive or negative? (a) Negative (b) Positive
  2. 2.Is −9/9 positive or negative? (a) Negative (b) Positive
  3. 3.What is (−1/3) + (−1/8)? (a) 11/24 (b) −11/24 (c) −2/11 (d) −5/24
  4. 4.What is 1/5 + (−1/2)? (a) 7/10 (b) −3/10 (c) 0 (d) 3/10
  5. 5.Write −6/8 in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −6/8
  6. 6.What is (−4/5) − 5/7? (a) −3/4 (b) −3/35 (c) −53/35 (d) 53/35
  7. 7.What is (−1/9) + 1/4? (a) −13/36 (b) 5/36 (c) −5/36 (d) 0
  8. 8.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  9. 9.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 8/3 (c) 3/8 (d) −3/8
  10. 10.What is the additive inverse of −7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  11. 11.What is 1/9 + (−1/8)? (a) −1/72 (b) 17/72 (c) 0 (d) 1/72
  12. 12.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) 1/5 (c) −5 (d) −1/5
  13. 13.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  14. 14.What is (−1/7) + (−8/9)? (a) −9/16 (b) 65/63 (c) −65/63 (d) 47/63
  15. 15.What is (−1/5) − 4/7? (a) 27/35 (b) 13/35 (c) −5/12 (d) −27/35
  16. 16.Write −30/48 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −30/48 (d) −5/8
  17. 17.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) −2 (c) 1/2 (d) −1/2
  18. 18.Which is bigger: −5/8 or −7/9? (a) −7/9 (b) −5/8
  19. 19.Which is smaller: −5/8 or 4/9? (a) 4/9 (b) −5/8
  20. 20.What is (−2/5) − (−4/9)? (a) 1/7 (b) 2/45 (c) −38/45 (d) −2/45
  21. 21.What is 1/8 − (−3/8)? (a) −1/2 (b) −1/4 (c) 1/2 (d) 1/4
  22. 22.Which is bigger: −1/5 or −3/7? (a) −3/7 (b) −1/5
  23. 23.What is (−2/5) − 6/7? (a) −44/35 (b) −2/3 (c) 44/35 (d) 16/35
  24. 24.Which is smaller: −4/5 or −3/7? (a) −3/7 (b) −4/5
  25. 25.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) 4/5 (c) −5/4 (d) −4/5
  26. 26.Which is bigger: −5/7 or −3/4? (a) −5/7 (b) −3/4
  27. 27.Which is smaller: −5/9 or −1/2? (a) −5/9 (b) −1/2
  28. 28.What is the reciprocal (multiplicative inverse) of −5/8? (a) 8/5 (b) −8/5 (c) 5/8 (d) −5/8
  29. 29.Is 1/2 positive or negative? (a) Negative (b) Positive
  30. 30.Is −3/3 positive or negative? (a) Positive (b) Negative
  31. 31.What is (−5/8) + (−7/8)? (a) −3/2 (b) −3/4 (c) 3/2 (d) 1/4
  32. 32.What is (−4/7) − 1/8? (a) −25/56 (b) −1/3 (c) 39/56 (d) −39/56
  33. 33.Which is bigger: −4/5 or −5/7? (a) −5/7 (b) −4/5
  34. 34.Which is bigger: −3/4 or −7/9? (a) −7/9 (b) −3/4
  35. 35.What is the additive inverse of 3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  36. 36.What is (−2/5) − (−1/4)? (a) 3/20 (b) −1/9 (c) −13/20 (d) −3/20
  37. 37.Is 5/2 positive or negative? (a) Negative (b) Positive
  38. 38.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  39. 39.What is (−5/6) + (−1/6)? (a) −2/3 (b) −1/2 (c) −1 (d) 1
  40. 40.What is 5/7 + (−1/6)? (a) 23/42 (b) 37/42 (c) −23/42 (d) 4/13

Answer key

  1. Positive
  2. Negative
  3. −11/24
  4. −3/10
  5. −3/4
  6. −53/35
  7. 5/36
  8. −6
  9. 8/3
  10. 7/8
  11. −1/72
  12. 5
  13. −4
  14. −65/63
  15. −27/35
  16. −5/8
  17. −2
  18. −5/8
  19. −5/8
  20. 2/45
  21. 1/2
  22. −1/5
  23. −44/35
  24. −4/5
  25. −4/5
  26. −5/7
  27. −5/9
  28. −8/5
  29. Positive
  30. Negative
  31. −3/2
  32. −39/56
  33. −5/7
  34. −3/4
  35. −3/4
  36. −3/20
  37. Positive
  38. −3
  39. −1
  40. 23/42

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