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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 571 · 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 1/5 − (−1/6)? (a) 1/30 (b) 11/30 (c) 2/11 (d) −11/30
  2. 2.Write −4/28 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) 1/7 (d) −4/28
  3. 3.Write −30/48 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −30/48 (c) −5/8 (d) 5/8
  4. 4.What is 1/6 + (−4/9)? (a) 5/18 (b) −1/5 (c) 11/18 (d) −5/18
  5. 5.What is the additive inverse of 1/8? (a) 1/8 (b) −1/8 (c) 8 (d) −8
  6. 6.What is the additive inverse of −5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  7. 7.Which is smaller: −4/5 or 1/2? (a) 1/2 (b) −4/5
  8. 8.What is (−2/3) + 5/7? (a) −1/21 (b) 1/21 (c) 3/10 (d) −29/21
  9. 9.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  10. 10.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  11. 11.Write −2/10 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −2/10 (d) −5/1
  12. 12.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −4/5 or 2/7? (a) 2/7 (b) −4/5
  14. 14.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −42/48 (c) 7/8 (d) −8/7
  15. 15.What is 5/9 − (−1/5)? (a) −34/45 (b) 3/7 (c) 16/45 (d) 34/45
  16. 16.What is (−5/7) + 5/8? (a) −5/56 (b) −75/56 (c) 0 (d) 5/56
  17. 17.Which is smaller: −1/4 or −2/7? (a) −2/7 (b) −1/4
  18. 18.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  19. 19.Is −4/(−8) positive or negative? (a) Positive (b) Negative
  20. 20.What is (−4/9) − 3/4? (a) 11/36 (b) −7/13 (c) −43/36 (d) 43/36
  21. 21.What is (−3/5) − 8/9? (a) 67/45 (b) 13/45 (c) −67/45 (d) −11/14
  22. 22.Which is bigger: −5/8 or −6/7? (a) −5/8 (b) −6/7
  23. 23.What is (−2/3) − (−1/3)? (a) −1/6 (b) 1/3 (c) −1/3 (d) −1
  24. 24.What is (−1/7) − (−3/4)? (a) −17/28 (b) 17/28 (c) −25/28 (d) 2/11
  25. 25.Which is smaller: −6/7 or −5/7? (a) −6/7 (b) −5/7
  26. 26.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −7/2 (c) 2/7 (d) −2/7
  27. 27.Which is bigger: −3/4 or −4/7? (a) −4/7 (b) −3/4
  28. 28.What is 3/5 + (−2/3)? (a) 19/15 (b) 1/8 (c) 1/15 (d) −1/15
  29. 29.What is 1/7 + (−2/9)? (a) −1/16 (b) 23/63 (c) −5/63 (d) 5/63
  30. 30.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 7/6 (c) 6/7 (d) −7/6
  31. 31.What is the additive inverse of −1/8? (a) −1/8 (b) 1/8 (c) −8 (d) 8
  32. 32.Which is smaller: −2/7 or 7/8? (a) −2/7 (b) 7/8
  33. 33.Write −24/30 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −24/30 (c) −4/5 (d) 4/5
  34. 34.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  35. 35.Is 3/3 positive or negative? (a) Negative (b) Positive
  36. 36.Write −5/15 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −5/15
  37. 37.What is the additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  38. 38.What is (−2/7) + (−1/7)? (a) −3/7 (b) −3/14 (c) 3/7 (d) −1/7
  39. 39.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of −1/5? (a) −5 (b) −1/5 (c) 1/5 (d) 5

Answer key

  1. 11/30
  2. −1/7
  3. −5/8
  4. −5/18
  5. −1/8
  6. 5/9
  7. −4/5
  8. 1/21
  9. 7/9
  10. Negative
  11. −1/5
  12. Negative
  13. 2/7
  14. −7/8
  15. 34/45
  16. −5/56
  17. −2/7
  18. −7/3
  19. Positive
  20. −43/36
  21. −67/45
  22. −5/8
  23. −1/3
  24. 17/28
  25. −6/7
  26. −2/7
  27. −4/7
  28. −1/15
  29. −5/63
  30. 7/6
  31. 1/8
  32. −2/7
  33. −4/5
  34. Negative
  35. Positive
  36. −1/3
  37. 2/9
  38. −3/7
  39. Positive
  40. 1/5

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