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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 656 · 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 4/7 − (−2/3)? (a) −2/21 (b) 3/5 (c) −26/21 (d) 26/21
  2. 2.What is (−5/6) − 3/4? (a) −1/12 (b) −19/12 (c) −4/5 (d) 19/12
  3. 3.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −2/6
  4. 4.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  5. 5.Is −7/3 positive or negative? (a) Positive (b) Negative
  6. 6.Which is smaller: −7/9 or −5/7? (a) −5/7 (b) −7/9
  7. 7.What is (−1/7) + 3/8? (a) −13/56 (b) 2/15 (c) −29/56 (d) 13/56
  8. 8.Which is smaller: −1/6 or −7/9? (a) −1/6 (b) −7/9
  9. 9.Which is smaller: −2/5 or −3/5? (a) −3/5 (b) −2/5
  10. 10.What is (−1/5) − 2/9? (a) −19/45 (b) 1/45 (c) −3/14 (d) 19/45
  11. 11.Which is smaller: −5/6 or −7/8? (a) −5/6 (b) −7/8
  12. 12.Write −20/35 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) 4/7 (d) −20/35
  13. 13.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) −9/5 (c) −5/9 (d) 5/9
  14. 14.Which is bigger: −1/9 or 5/8? (a) 5/8 (b) −1/9
  15. 15.What is (−1/6) + (−1/6)? (a) 0 (b) −1/3 (c) 1/3 (d) −1/6
  16. 16.What is (−8/9) − 1/4? (a) 41/36 (b) −23/36 (c) −9/13 (d) −41/36
  17. 17.What is 1/6 − (−5/9)? (a) −13/18 (b) 2/5 (c) 13/18 (d) −7/18
  18. 18.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  19. 19.What is (−5/6) − 1/4? (a) −3/5 (b) −7/12 (c) −13/12 (d) 13/12
  20. 20.Which is smaller: −1/5 or −5/7? (a) −1/5 (b) −5/7
  21. 21.Is −6/2 positive or negative? (a) Negative (b) Positive
  22. 22.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  23. 23.What is 4/5 − (−2/9)? (a) 26/45 (b) −46/45 (c) 3/7 (d) 46/45
  24. 24.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  26. 26.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  27. 27.Is 6/2 positive or negative? (a) Negative (b) Positive
  28. 28.Which is bigger: −2/3 or 1/8? (a) −2/3 (b) 1/8
  29. 29.Is −9/5 positive or negative? (a) Positive (b) Negative
  30. 30.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  31. 31.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −5/40 (b) −1/8 (c) 1/8 (d) −8/1
  32. 32.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −20/24
  33. 33.What is the reciprocal (multiplicative inverse) of 1/2? (a) 2 (b) −1/2 (c) −2 (d) 1/2
  34. 34.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  35. 35.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) −7/8 (c) −8/7 (d) 7/8
  36. 36.Which is bigger: −4/7 or 2/5? (a) −4/7 (b) 2/5
  37. 37.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  38. 38.Is 7/(−5) positive or negative? (a) Negative (b) Positive
  39. 39.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9

Answer key

  1. 26/21
  2. −19/12
  3. −1/3
  4. −8/3
  5. Negative
  6. −7/9
  7. 13/56
  8. −7/9
  9. −3/5
  10. −19/45
  11. −7/8
  12. −4/7
  13. −5/9
  14. 5/8
  15. −1/3
  16. −41/36
  17. 13/18
  18. Negative
  19. −13/12
  20. −5/7
  21. Negative
  22. Negative
  23. 46/45
  24. Negative
  25. −6/5
  26. 5/4
  27. Positive
  28. 1/8
  29. Negative
  30. −2/3
  31. −1/8
  32. −5/6
  33. 2
  34. 4/3
  35. −8/7
  36. 2/5
  37. Positive
  38. Negative
  39. Positive
  40. −7/9

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