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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 294 · 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 2/(−18) in standard form (lowest terms, positive denominator). (a) −2/18 (b) −1/9 (c) −9/1 (d) 1/9
  2. 2.Which is smaller: −3/4 or −6/7? (a) −3/4 (b) −6/7
  3. 3.What is 2/7 + (−7/9)? (a) 31/63 (b) 67/63 (c) −5/16 (d) −31/63
  4. 4.What is the additive inverse of −4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
  5. 5.Which is bigger: −8/9 or 2/5? (a) 2/5 (b) −8/9
  6. 6.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −2/6 (d) 1/3
  7. 7.Which is smaller: −3/8 or 1/9? (a) 1/9 (b) −3/8
  8. 8.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −3/24
  9. 9.What is the additive inverse of 1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  10. 10.What is (−1/9) + (−4/5)? (a) −5/14 (b) −41/45 (c) 31/45 (d) 41/45
  11. 11.Which is smaller: −1/2 or 3/8? (a) −1/2 (b) 3/8
  12. 12.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) 2/7 (c) −2/7 (d) −7/2
  13. 13.Which is smaller: −5/6 or 1/8? (a) 1/8 (b) −5/6
  14. 14.What is the additive inverse of −1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  15. 15.Which is bigger: −1/7 or −5/6? (a) −1/7 (b) −5/6
  16. 16.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  17. 17.What is (−5/7) + (−8/9)? (a) 101/63 (b) −13/16 (c) 11/63 (d) −101/63
  18. 18.Is 6/8 positive or negative? (a) Positive (b) Negative
  19. 19.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) 5/6 (c) −6/5 (d) −5/6
  20. 20.Write −6/36 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −6/36 (c) −1/6 (d) 1/6
  21. 21.Which is smaller: −1/9 or 5/6? (a) −1/9 (b) 5/6
  22. 22.What is (−1/5) − (−5/9)? (a) −16/45 (b) 16/45 (c) 2/7 (d) −34/45
  23. 23.What is the additive inverse of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  24. 24.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 9 (d) 1/9
  26. 26.Is −3/7 positive or negative? (a) Negative (b) Positive
  27. 27.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  28. 28.Which is bigger: −4/9 or −1/8? (a) −4/9 (b) −1/8
  29. 29.Which is bigger: −5/6 or −1/7? (a) −5/6 (b) −1/7
  30. 30.Is 4/2 positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −4/9 or −3/8? (a) −3/8 (b) −4/9
  32. 32.What is (−1/5) − 5/9? (a) −3/7 (b) 16/45 (c) −34/45 (d) 34/45
  33. 33.Which is smaller: −5/8 or 1/5? (a) 1/5 (b) −5/8
  34. 34.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  35. 35.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −12/28 (b) 3/7 (c) −3/7 (d) −7/3
  36. 36.What is (−1/3) − 4/5? (a) 7/15 (b) 17/15 (c) −5/8 (d) −17/15
  37. 37.What is 1/2 + (−1/4)? (a) 0 (b) 1/4 (c) 3/4 (d) −1/4
  38. 38.Which is bigger: −3/7 or −1/4? (a) −3/7 (b) −1/4
  39. 39.What is (−1/7) + 7/9? (a) −58/63 (b) 40/63 (c) −40/63 (d) 3/8
  40. 40.What is the additive inverse of −1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7

Answer key

  1. −1/9
  2. −6/7
  3. −31/63
  4. 4/5
  5. 2/5
  6. −1/3
  7. −3/8
  8. −1/8
  9. −1/5
  10. −41/45
  11. −1/2
  12. −7/2
  13. −5/6
  14. 1/6
  15. −1/7
  16. −5/2
  17. −101/63
  18. Positive
  19. −5/6
  20. −1/6
  21. −1/9
  22. 16/45
  23. −1/7
  24. Positive
  25. 9
  26. Negative
  27. −4/3
  28. −1/8
  29. −1/7
  30. Positive
  31. −3/8
  32. −34/45
  33. −5/8
  34. −1/3
  35. −3/7
  36. −17/15
  37. 1/4
  38. −1/4
  39. 40/63
  40. 1/7

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