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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 939 · 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 the additive inverse of 1/4? (a) 1/4 (b) 4 (c) −4 (d) −1/4
  2. 2.Is 5/7 positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −2/7 or −3/7? (a) −3/7 (b) −2/7
  4. 4.What is (−3/7) + (−2/7)? (a) −5/14 (b) −1/7 (c) −5/7 (d) 5/7
  5. 5.What is (−1/9) − (−3/4)? (a) 2/13 (b) −31/36 (c) 23/36 (d) −23/36
  6. 6.What is (−1/7) + 2/3? (a) 1/10 (b) 11/21 (c) −11/21 (d) −17/21
  7. 7.Is 5/5 positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −1/5 or −3/4? (a) −1/5 (b) −3/4
  9. 9.Is 8/3 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/6) − 3/7? (a) −25/42 (b) 11/42 (c) 25/42 (d) −4/13
  11. 11.What is (−4/9) + 1/4? (a) 7/36 (b) −25/36 (c) −3/13 (d) −7/36
  12. 12.What is (−2/5) + 1/3? (a) −1/8 (b) 1/15 (c) −1/15 (d) −11/15
  13. 13.Is −9/(−6) positive or negative? (a) Negative (b) Positive
  14. 14.What is (−6/7) − 5/6? (a) −1/42 (b) −11/13 (c) 71/42 (d) −71/42
  15. 15.What is (−1/3) + 1/9? (a) 2/9 (b) −2/9 (c) 0 (d) −4/9
  16. 16.Write −6/15 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) 2/5 (d) −6/15
  17. 17.Which is bigger: −1/4 or 3/4? (a) −1/4 (b) 3/4
  18. 18.Is −7/(−2) positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of 8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  20. 20.What is (−3/7) + 3/4? (a) 0 (b) −33/28 (c) 9/28 (d) −9/28
  21. 21.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  22. 22.What is (−3/5) − 1/7? (a) 26/35 (b) −1/3 (c) −16/35 (d) −26/35
  23. 23.What is (−1/4) + (−5/6)? (a) 13/12 (b) −13/12 (c) −3/5 (d) 7/12
  24. 24.Is 6/8 positive or negative? (a) Negative (b) Positive
  25. 25.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) 1/6 (d) −3/18
  26. 26.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −8/20 (d) 2/5
  27. 27.Write −36/42 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −36/42 (c) 6/7 (d) −6/7
  28. 28.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  29. 29.What is (−2/9) + (−4/9)? (a) −2/3 (b) −1/3 (c) 2/9 (d) 2/3
  30. 30.What is (−5/6) + 7/9? (a) 2/15 (b) 1/18 (c) −1/18 (d) −29/18
  31. 31.What is (−7/8) − (−2/3)? (a) −5/11 (b) −37/24 (c) −5/24 (d) 5/24
  32. 32.Which is bigger: −1/6 or −1/8? (a) −1/6 (b) −1/8
  33. 33.What is (−3/8) + 1/8? (a) −1/2 (b) −1/8 (c) −1/4 (d) 1/4
  34. 34.What is the additive inverse of −8/9? (a) 9/8 (b) −8/9 (c) 8/9 (d) −9/8
  35. 35.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) 2 (c) −1/2 (d) −2
  36. 36.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  37. 37.Is 8/4 positive or negative? (a) Positive (b) Negative
  38. 38.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −35/45 (d) 7/9
  39. 39.What is the additive inverse of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  40. 40.Write −4/16 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −4/16

Answer key

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

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