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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 931 · 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 3/(−12) in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −1/4 (d) −3/12
  2. 2.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  3. 3.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −9/15 (c) −5/3 (d) −3/5
  4. 4.Write −25/30 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −25/30
  5. 5.What is the additive inverse of −1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  6. 6.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  7. 7.What is 4/7 + (−5/9)? (a) 71/63 (b) −1/63 (c) −1/16 (d) 1/63
  8. 8.Is −4/7 positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −5/6 or −3/7? (a) −5/6 (b) −3/7
  10. 10.What is (−3/8) + (−1/7)? (a) 29/56 (b) −4/15 (c) −13/56 (d) −29/56
  11. 11.What is 6/7 − (−1/6)? (a) 7/13 (b) 43/42 (c) 29/42 (d) −43/42
  12. 12.What is (−3/4) − (−4/9)? (a) 11/36 (b) −43/36 (c) −11/36 (d) 1/13
  13. 13.What is (−5/8) − (−1/4)? (a) 3/8 (b) −1/3 (c) −3/8 (d) −7/8
  14. 14.Is −3/2 positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of 1/2? (a) 2 (b) −1/2 (c) −2 (d) 1/2
  16. 16.What is (−3/5) + (−7/8)? (a) 59/40 (b) 11/40 (c) −10/13 (d) −59/40
  17. 17.Which is smaller: −3/8 or −5/6? (a) −3/8 (b) −5/6
  18. 18.What is (−5/9) + (−5/6)? (a) −25/18 (b) 25/18 (c) −2/3 (d) 5/18
  19. 19.What is the additive inverse of 1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  20. 20.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  21. 21.What is the additive inverse of −5/7? (a) 7/5 (b) 5/7 (c) −7/5 (d) −5/7
  22. 22.Is −9/2 positive or negative? (a) Positive (b) Negative
  23. 23.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −16/18 (d) 8/9
  24. 24.Which is bigger: −1/3 or −5/7? (a) −1/3 (b) −5/7
  25. 25.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/5) + (−4/7)? (a) 27/35 (b) 13/35 (c) −27/35 (d) −5/12
  27. 27.What is 1/4 + (−3/5)? (a) −2/9 (b) 7/20 (c) 17/20 (d) −7/20
  28. 28.Which is smaller: −1/2 or −1/5? (a) −1/2 (b) −1/5
  29. 29.What is (−1/6) − (−5/6)? (a) 1/3 (b) −1 (c) 2/3 (d) −2/3
  30. 30.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  31. 31.Is −4/6 positive or negative? (a) Positive (b) Negative
  32. 32.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) −6/42 (d) 1/7
  33. 33.Which is bigger: −3/8 or 5/7? (a) −3/8 (b) 5/7
  34. 34.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  35. 35.What is (−4/5) − (−4/7)? (a) −48/35 (b) 8/35 (c) 0 (d) −8/35
  36. 36.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  37. 37.What is (−3/8) + 5/6? (a) −11/24 (b) −29/24 (c) 11/24 (d) 1/7
  38. 38.Which is smaller: −8/9 or 1/7? (a) −8/9 (b) 1/7
  39. 39.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −18/42 (d) −3/7
  40. 40.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −5/20 (d) −4/1

Answer key

  1. −1/4
  2. Negative
  3. −3/5
  4. −5/6
  5. 1/4
  6. 4/3
  7. 1/63
  8. Negative
  9. −5/6
  10. −29/56
  11. 43/42
  12. −11/36
  13. −3/8
  14. Negative
  15. −1/2
  16. −59/40
  17. −5/6
  18. −25/18
  19. −1/3
  20. Positive
  21. 5/7
  22. Negative
  23. −8/9
  24. −1/3
  25. Positive
  26. −27/35
  27. −7/20
  28. −1/2
  29. 2/3
  30. Positive
  31. Negative
  32. −1/7
  33. 5/7
  34. −2/7
  35. −8/35
  36. 5/2
  37. 11/24
  38. −8/9
  39. −3/7
  40. −1/4

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