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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 190 · 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 smaller: −1/2 or −6/7? (a) −1/2 (b) −6/7
  2. 2.Is 6/(−6) positive or negative? (a) Negative (b) Positive
  3. 3.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  4. 4.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) 9 (c) 1/9 (d) −1/9
  5. 5.Is −3/3 positive or negative? (a) Negative (b) Positive
  6. 6.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −12/27
  7. 7.What is 5/7 − (−2/3)? (a) 29/21 (b) 7/10 (c) −29/21 (d) 1/21
  8. 8.Which is smaller: −3/8 or −5/6? (a) −5/6 (b) −3/8
  9. 9.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  10. 10.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −5/9 (c) −9/5 (d) 9/5
  11. 11.What is 5/9 + (−7/9)? (a) 2/9 (b) −2/9 (c) −1/9 (d) 4/3
  12. 12.Which is bigger: −2/3 or −1/9? (a) −1/9 (b) −2/3
  13. 13.Is 1/8 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  15. 15.What is (−2/3) + 5/6? (a) 1/3 (b) −3/2 (c) 1/6 (d) −1/6
  16. 16.Which is smaller: −2/5 or 3/5? (a) −2/5 (b) 3/5
  17. 17.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  18. 18.Is −1/9 positive or negative? (a) Negative (b) Positive
  19. 19.What is 4/5 − (−1/3)? (a) −17/15 (b) 5/8 (c) 7/15 (d) 17/15
  20. 20.Is −1/8 positive or negative? (a) Negative (b) Positive
  21. 21.What is the additive inverse of −7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  22. 22.Which is bigger: −1/5 or 7/9? (a) 7/9 (b) −1/5
  23. 23.What is (−4/9) + 1/3? (a) 1/9 (b) −1/4 (c) −1/9 (d) −7/9
  24. 24.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −2/18
  25. 25.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −6/27 (b) 2/9 (c) −2/9 (d) −9/2
  26. 26.What is (−4/5) − (−5/8)? (a) −57/40 (b) 1/13 (c) 7/40 (d) −7/40
  27. 27.What is (−6/7) + 5/8? (a) −83/56 (b) 13/56 (c) −1/15 (d) −13/56
  28. 28.What is (−1/9) + 3/7? (a) 1/8 (b) 20/63 (c) −34/63 (d) −20/63
  29. 29.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/36 (b) −1/6 (c) 1/6 (d) −6/1
  30. 30.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  31. 31.What is (−5/9) + (−1/3)? (a) −1/2 (b) 8/9 (c) −2/9 (d) −8/9
  32. 32.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −16/28 (c) −4/7 (d) 4/7
  33. 33.What is (−7/8) − 1/9? (a) −71/72 (b) −55/72 (c) 71/72 (d) −8/17
  34. 34.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −35/40 (d) −8/7
  35. 35.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −3/1 (d) −1/3
  36. 36.What is (−3/8) + (−2/5)? (a) 31/40 (b) 1/40 (c) −31/40 (d) −5/13
  37. 37.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) 5 (d) −5
  38. 38.Is −8/3 positive or negative? (a) Negative (b) Positive
  39. 39.Which is bigger: −1/6 or −1/7? (a) −1/7 (b) −1/6
  40. 40.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −4/10 (d) 2/5

Answer key

  1. −6/7
  2. Negative
  3. Positive
  4. 9
  5. Negative
  6. −4/9
  7. 29/21
  8. −5/6
  9. 9/5
  10. −9/5
  11. −2/9
  12. −1/9
  13. Positive
  14. −4
  15. 1/6
  16. −2/5
  17. Negative
  18. Negative
  19. 17/15
  20. Negative
  21. 7/8
  22. 7/9
  23. −1/9
  24. −1/9
  25. −2/9
  26. −7/40
  27. −13/56
  28. 20/63
  29. −1/6
  30. Negative
  31. −8/9
  32. −4/7
  33. −71/72
  34. −7/8
  35. −1/3
  36. −31/40
  37. 5
  38. Negative
  39. −1/7
  40. −2/5

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