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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 193 · 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.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  2. 2.What is (−6/7) + 5/6? (a) 1/42 (b) −1/13 (c) −1/42 (d) −71/42
  3. 3.Which is smaller: −3/5 or −8/9? (a) −3/5 (b) −8/9
  4. 4.Is −7/(−2) positive or negative? (a) Positive (b) Negative
  5. 5.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −5/30 (c) 1/6 (d) −1/6
  6. 6.Is −1/(−8) positive or negative? (a) Negative (b) Positive
  7. 7.What is 5/7 + (−1/2)? (a) −3/14 (b) 4/9 (c) 3/14 (d) 17/14
  8. 8.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  9. 9.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) 1/9 (c) −1/9 (d) −9/1
  10. 10.Which is smaller: −8/9 or −3/4? (a) −8/9 (b) −3/4
  11. 11.Is −5/(−2) positive or negative? (a) Positive (b) Negative
  12. 12.Which is smaller: −2/9 or 3/7? (a) −2/9 (b) 3/7
  13. 13.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −4/14
  14. 14.Write −5/45 in standard form (lowest terms, positive denominator). (a) −5/45 (b) −9/1 (c) 1/9 (d) −1/9
  15. 15.Which is bigger: −4/5 or −3/8? (a) −4/5 (b) −3/8
  16. 16.What is the additive inverse of 4/9? (a) 9/4 (b) −4/9 (c) −9/4 (d) 4/9
  17. 17.What is the reciprocal (multiplicative inverse) of −1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  18. 18.Which is bigger: −2/3 or −2/9? (a) −2/3 (b) −2/9
  19. 19.What is (−2/5) + 3/5? (a) −1 (b) −1/5 (c) 1/5 (d) 1/10
  20. 20.Which is smaller: −8/9 or −5/6? (a) −5/6 (b) −8/9
  21. 21.What is 1/2 + (−4/7)? (a) 1/14 (b) −1/14 (c) −1/3 (d) 15/14
  22. 22.What is (−1/5) − 2/9? (a) 19/45 (b) 1/45 (c) −19/45 (d) −3/14
  23. 23.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) 4/5 (d) −8/10
  24. 24.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −20/24 (c) −5/6 (d) 5/6
  26. 26.What is (−1/3) − 1/9? (a) −1/6 (b) 4/9 (c) −2/9 (d) −4/9
  27. 27.Which is bigger: −5/9 or −7/9? (a) −5/9 (b) −7/9
  28. 28.What is (−3/4) − 1/3? (a) 13/12 (b) −4/7 (c) −13/12 (d) −5/12
  29. 29.What is 2/9 − (−2/7)? (a) 32/63 (b) −4/63 (c) −32/63 (d) 1/4
  30. 30.Write −48/54 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −48/54
  31. 31.Which is bigger: −5/9 or −6/7? (a) −6/7 (b) −5/9
  32. 32.Write −4/20 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) 1/5 (d) −4/20
  33. 33.What is (−7/9) + (−5/9)? (a) −2/9 (b) −4/3 (c) −2/3 (d) 4/3
  34. 34.What is 8/9 + (−2/3)? (a) −2/9 (b) 2/9 (c) 14/9 (d) 1/2
  35. 35.Which is bigger: −2/5 or −4/5? (a) −4/5 (b) −2/5
  36. 36.Is −1/9 positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −3/4 or −3/5? (a) −3/4 (b) −3/5
  38. 38.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) 2/7 (d) −6/21
  39. 39.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −12/30 (b) −2/5 (c) −5/2 (d) 2/5
  40. 40.Write −21/24 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −21/24 (c) −8/7 (d) 7/8

Answer key

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

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