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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 15 · 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 5/(−25) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/25 (c) −5/1 (d) 1/5
  2. 2.Is 4/9 positive or negative? (a) Negative (b) Positive
  3. 3.Which is smaller: −1/2 or 2/3? (a) −1/2 (b) 2/3
  4. 4.What is (−1/9) + (−3/4)? (a) 23/36 (b) 31/36 (c) −4/13 (d) −31/36
  5. 5.Which is bigger: −1/7 or −3/4? (a) −3/4 (b) −1/7
  6. 6.What is (−2/7) + (−8/9)? (a) 38/63 (b) −74/63 (c) −5/8 (d) 74/63
  7. 7.Is −1/2 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−2/9) + 2/5? (a) −28/45 (b) −8/45 (c) 0 (d) 8/45
  9. 9.Which is smaller: −3/8 or 7/8? (a) −3/8 (b) 7/8
  10. 10.Which is bigger: −1/2 or −1/6? (a) −1/6 (b) −1/2
  11. 11.Is −9/4 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−2/9) + 2/7? (a) 0 (b) −4/63 (c) −32/63 (d) 4/63
  13. 13.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  14. 14.What is 8/9 + (−1/6)? (a) 13/18 (b) 7/15 (c) 19/18 (d) −13/18
  15. 15.Which is smaller: −3/8 or −1/9? (a) −3/8 (b) −1/9
  16. 16.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) −5/6 (c) 5/6 (d) −6/5
  17. 17.What is (−1/4) − 1/8? (a) −1/6 (b) −3/8 (c) −1/8 (d) 3/8
  18. 18.What is (−4/7) − (−2/7)? (a) −2/7 (b) −1/7 (c) 2/7 (d) −6/7
  19. 19.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −3/1 (d) −1/3
  20. 20.What is the additive inverse of 1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  21. 21.Is 7/8 positive or negative? (a) Positive (b) Negative
  22. 22.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  24. 24.Which is smaller: −2/9 or 4/7? (a) 4/7 (b) −2/9
  25. 25.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 4/9 (c) −9/4 (d) 9/4
  26. 26.Which is bigger: −1/4 or −5/6? (a) −1/4 (b) −5/6
  27. 27.Write −5/15 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −5/15 (c) −1/3 (d) −3/1
  28. 28.Write −5/20 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −5/20 (d) −1/4
  29. 29.Is −9/(−9) positive or negative? (a) Negative (b) Positive
  30. 30.Is 2/3 positive or negative? (a) Positive (b) Negative
  31. 31.What is (−2/9) − 7/8? (a) −9/17 (b) 79/72 (c) 47/72 (d) −79/72
  32. 32.What is (−2/5) + 4/5? (a) 2/5 (b) 1/5 (c) −2/5 (d) −6/5
  33. 33.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) −1/9 (d) 1/9
  34. 34.What is (−1/9) − 3/7? (a) 20/63 (b) −34/63 (c) 34/63 (d) −1/4
  35. 35.What is (−5/8) + 1/8? (a) −1/4 (b) 1/2 (c) −1/2 (d) −3/4
  36. 36.What is 2/3 + (−1/4)? (a) 11/12 (b) 5/12 (c) −5/12 (d) 1/7
  37. 37.Is 9/3 positive or negative? (a) Positive (b) Negative
  38. 38.What is 1/6 − (−5/7)? (a) −37/42 (b) 6/13 (c) −23/42 (d) 37/42
  39. 39.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  40. 40.What is (−1/2) + 1/2? (a) −1 (b) 0

Answer key

  1. −1/5
  2. Positive
  3. −1/2
  4. −31/36
  5. −1/7
  6. −74/63
  7. Negative
  8. 8/45
  9. −3/8
  10. −1/6
  11. Negative
  12. 4/63
  13. Negative
  14. 13/18
  15. −3/8
  16. −5/6
  17. −3/8
  18. −2/7
  19. −1/3
  20. −1/3
  21. Positive
  22. Positive
  23. 7/9
  24. −2/9
  25. 9/4
  26. −1/4
  27. −1/3
  28. −1/4
  29. Positive
  30. Positive
  31. −79/72
  32. 2/5
  33. −1/9
  34. −34/63
  35. −1/2
  36. 5/12
  37. Positive
  38. 37/42
  39. 7/4
  40. 0

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