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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 677 · 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: −2/3 or −1/4? (a) −2/3 (b) −1/4
  2. 2.Write −20/35 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −20/35 (c) −7/4 (d) −4/7
  3. 3.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  4. 4.What is (−2/7) + 1/9? (a) −1/16 (b) −25/63 (c) 11/63 (d) −11/63
  5. 5.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  6. 6.What is (−5/7) − (−1/4)? (a) −27/28 (b) 13/28 (c) −13/28 (d) −4/11
  7. 7.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −3/27
  8. 8.What is 1/2 − (−1/4)? (a) 3/4 (b) 1/3 (c) −3/4 (d) 1/4
  9. 9.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  11. 11.What is 1/2 − (−5/9)? (a) −19/18 (b) −1/18 (c) 6/11 (d) 19/18
  12. 12.Which is bigger: −2/3 or 1/3? (a) −2/3 (b) 1/3
  13. 13.Write −8/28 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −8/28 (c) 2/7 (d) −2/7
  14. 14.What is (−5/7) + (−1/6)? (a) −23/42 (b) −6/13 (c) −37/42 (d) 37/42
  15. 15.Which is bigger: −5/6 or −7/9? (a) −5/6 (b) −7/9
  16. 16.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −6/8 (b) 3/4 (c) −3/4 (d) −4/3
  17. 17.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  18. 18.Which is bigger: −3/8 or −3/5? (a) −3/5 (b) −3/8
  19. 19.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −10/18 (b) 5/9 (c) −9/5 (d) −5/9
  21. 21.Which is smaller: −3/4 or −1/4? (a) −3/4 (b) −1/4
  22. 22.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −2/6 (c) −1/3 (d) −3/1
  23. 23.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  24. 24.Is −2/2 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−8/9) + 7/9? (a) −5/3 (b) −1/18 (c) 1/9 (d) −1/9
  26. 26.What is (−7/9) − 7/9? (a) −14/9 (b) −7/9 (c) 14/9 (d) 0
  27. 27.What is 3/4 − (−6/7)? (a) −45/28 (b) 9/11 (c) −3/28 (d) 45/28
  28. 28.Is −9/2 positive or negative? (a) Positive (b) Negative
  29. 29.What is 4/7 + (−7/8)? (a) −1/5 (b) −17/56 (c) 17/56 (d) 81/56
  30. 30.What is 2/9 − (−1/8)? (a) 3/17 (b) 7/72 (c) −25/72 (d) 25/72
  31. 31.Is 6/7 positive or negative? (a) Positive (b) Negative
  32. 32.Is 2/7 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/6) − 3/5? (a) 43/30 (b) −8/11 (c) −7/30 (d) −43/30
  34. 34.What is 7/9 + (−4/5)? (a) 71/45 (b) −1/45 (c) 3/14 (d) 1/45
  35. 35.Which is bigger: −7/9 or −4/7? (a) −4/7 (b) −7/9
  36. 36.Is −9/6 positive or negative? (a) Positive (b) Negative
  37. 37.What is 4/9 + (−7/8)? (a) 31/72 (b) −3/17 (c) −31/72 (d) 95/72
  38. 38.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  39. 39.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  40. 40.Is −5/8 positive or negative? (a) Negative (b) Positive

Answer key

  1. −1/4
  2. −4/7
  3. Negative
  4. −11/63
  5. Negative
  6. −13/28
  7. −1/9
  8. 3/4
  9. Negative
  10. −2/5
  11. 19/18
  12. 1/3
  13. −2/7
  14. −37/42
  15. −7/9
  16. −3/4
  17. −6/5
  18. −3/8
  19. Negative
  20. −5/9
  21. −3/4
  22. −1/3
  23. 1/5
  24. Negative
  25. −1/9
  26. −14/9
  27. 45/28
  28. Negative
  29. −17/56
  30. 25/72
  31. Positive
  32. Positive
  33. −43/30
  34. −1/45
  35. −4/7
  36. Negative
  37. −31/72
  38. Negative
  39. −2
  40. Negative

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