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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 741 · 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 (−1/2) + (−3/8)? (a) 7/8 (b) −2/5 (c) −1/8 (d) −7/8
  2. 2.What is (−1/4) − (−1/9)? (a) −5/36 (b) −13/36 (c) 0 (d) 5/36
  3. 3.What is 2/3 + (−1/6)? (a) −1/2 (b) 1/2 (c) 1/9 (d) 5/6
  4. 4.What is the additive inverse of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  5. 5.What is (−1/4) − (−2/5)? (a) −13/20 (b) 1/9 (c) 3/20 (d) −3/20
  6. 6.Which is bigger: −2/3 or −5/8? (a) −2/3 (b) −5/8
  7. 7.Is 1/3 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−3/8) + 4/9? (a) −5/72 (b) 5/72 (c) −59/72 (d) 1/17
  9. 9.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) 2/3 (c) −2/3 (d) −3/2
  10. 10.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −5/7 or −3/5? (a) −3/5 (b) −5/7
  12. 12.Which is bigger: −3/4 or 1/6? (a) 1/6 (b) −3/4
  13. 13.What is (−5/9) − (−2/3)? (a) −11/9 (b) −1/9 (c) 1/9 (d) −1/4
  14. 14.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  15. 15.Write −20/35 in standard form (lowest terms, positive denominator). (a) −20/35 (b) 4/7 (c) −7/4 (d) −4/7
  16. 16.What is (−7/8) + 3/4? (a) −1/8 (b) −13/8 (c) −1/3 (d) 1/8
  17. 17.Is −9/9 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/8) + 3/4? (a) −7/8 (b) −5/8 (c) 1/6 (d) 5/8
  19. 19.Is 3/2 positive or negative? (a) Negative (b) Positive
  20. 20.Is −6/8 positive or negative? (a) Positive (b) Negative
  21. 21.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −1/4 or −4/9? (a) −4/9 (b) −1/4
  23. 23.Is 5/(−4) positive or negative? (a) Negative (b) Positive
  24. 24.What is 1/7 − (−5/8)? (a) 43/56 (b) −27/56 (c) 2/5 (d) −43/56
  25. 25.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) −12/21 (d) 4/7
  26. 26.Which is bigger: −2/9 or −6/7? (a) −6/7 (b) −2/9
  27. 27.Is 3/7 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−7/9) + (−7/9)? (a) 14/9 (b) −14/9 (c) −7/9 (d) 0
  29. 29.Is 7/4 positive or negative? (a) Negative (b) Positive
  30. 30.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −6/24 (d) 1/4
  31. 31.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  32. 32.Which is bigger: −3/4 or −7/9? (a) −7/9 (b) −3/4
  33. 33.Which is smaller: −2/9 or −2/3? (a) −2/3 (b) −2/9
  34. 34.What is 5/9 + (−1/2)? (a) 4/11 (b) −1/18 (c) 1/18 (d) 19/18
  35. 35.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −12/28 (c) −7/3 (d) −3/7
  36. 36.What is (−5/8) + (−3/7)? (a) −59/56 (b) −8/15 (c) 59/56 (d) −11/56
  37. 37.Which is bigger: −4/7 or −3/8? (a) −4/7 (b) −3/8
  38. 38.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  39. 39.What is 4/5 − (−1/5)? (a) 1 (b) 3/5 (c) −1 (d) 1/2
  40. 40.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2

Answer key

  1. −7/8
  2. −5/36
  3. 1/2
  4. −2/3
  5. 3/20
  6. −5/8
  7. Positive
  8. 5/72
  9. −2/3
  10. Positive
  11. −5/7
  12. 1/6
  13. 1/9
  14. −3/5
  15. −4/7
  16. −1/8
  17. Negative
  18. 5/8
  19. Positive
  20. Negative
  21. Positive
  22. −4/9
  23. Negative
  24. 43/56
  25. −4/7
  26. −2/9
  27. Positive
  28. −14/9
  29. Positive
  30. −1/4
  31. −9
  32. −3/4
  33. −2/3
  34. 1/18
  35. −3/7
  36. −59/56
  37. −3/8
  38. −8
  39. 1
  40. 2

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