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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 499 · 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 −3/21 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −3/21 (c) 1/7 (d) −7/1
  2. 2.What is (−2/5) + 3/5? (a) −1 (b) 1/10 (c) −1/5 (d) 1/5
  3. 3.What is the additive inverse of −1/5? (a) 5 (b) −5 (c) −1/5 (d) 1/5
  4. 4.What is 5/6 + (−1/7)? (a) −29/42 (b) 4/13 (c) 41/42 (d) 29/42
  5. 5.What is (−2/3) + 5/8? (a) −31/24 (b) 3/11 (c) −1/24 (d) 1/24
  6. 6.What is the additive inverse of −4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  7. 7.Write −15/40 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −15/40 (d) −3/8
  8. 8.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  10. 10.What is 8/9 + (−3/7)? (a) 5/16 (b) 83/63 (c) −29/63 (d) 29/63
  11. 11.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  12. 12.Write −10/12 in standard form (lowest terms, positive denominator). (a) −10/12 (b) −6/5 (c) 5/6 (d) −5/6
  13. 13.Write −42/54 in standard form (lowest terms, positive denominator). (a) −42/54 (b) −9/7 (c) 7/9 (d) −7/9
  14. 14.Is −5/9 positive or negative? (a) Positive (b) Negative
  15. 15.Which is smaller: −3/5 or 2/9? (a) −3/5 (b) 2/9
  16. 16.Is 5/4 positive or negative? (a) Negative (b) Positive
  17. 17.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −14/18
  18. 18.What is (−6/7) − 5/9? (a) 89/63 (b) −19/63 (c) −11/16 (d) −89/63
  19. 19.What is (−2/3) − 5/8? (a) −7/11 (b) −1/24 (c) 31/24 (d) −31/24
  20. 20.Which is bigger: −3/8 or −2/9? (a) −3/8 (b) −2/9
  21. 21.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  22. 22.Is −1/5 positive or negative? (a) Negative (b) Positive
  23. 23.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  24. 24.Is 5/6 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−7/9) − (−1/3)? (a) −10/9 (b) 4/9 (c) −4/9 (d) −1/2
  26. 26.What is (−1/3) + 5/6? (a) 4/9 (b) −1/2 (c) 1/2 (d) −7/6
  27. 27.What is 1/8 − (−4/7)? (a) 1/3 (b) −39/56 (c) −25/56 (d) 39/56
  28. 28.Is −5/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  30. 30.Which is bigger: −3/4 or −4/5? (a) −3/4 (b) −4/5
  31. 31.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) 2/7 (d) −4/14
  32. 32.Is −5/3 positive or negative? (a) Positive (b) Negative
  33. 33.Which is bigger: −4/9 or −1/6? (a) −1/6 (b) −4/9
  34. 34.What is 6/7 + (−1/9)? (a) 5/16 (b) 47/63 (c) 61/63 (d) −47/63
  35. 35.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) −4/5 (c) −5/4 (d) 4/5
  36. 36.Write −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) −6/7 (c) 6/7 (d) −7/6
  37. 37.What is 2/7 + (−1/6)? (a) 5/42 (b) 19/42 (c) 1/13 (d) −5/42
  38. 38.Which is smaller: −3/4 or 2/7? (a) −3/4 (b) 2/7
  39. 39.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  40. 40.Is −2/(−4) positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/7
  2. 1/5
  3. 1/5
  4. 29/42
  5. −1/24
  6. 4/5
  7. −3/8
  8. Positive
  9. −7/6
  10. 29/63
  11. −5
  12. −5/6
  13. −7/9
  14. Negative
  15. −3/5
  16. Positive
  17. −7/9
  18. −89/63
  19. −31/24
  20. −2/9
  21. −8/7
  22. Negative
  23. 5/3
  24. Positive
  25. −4/9
  26. 1/2
  27. 39/56
  28. Positive
  29. −2/9
  30. −3/4
  31. −2/7
  32. Negative
  33. −1/6
  34. 47/63
  35. −4/5
  36. −6/7
  37. 5/42
  38. −3/4
  39. 7/5
  40. Positive

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