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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 240 · 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 bigger: −4/9 or −7/9? (a) −4/9 (b) −7/9
  2. 2.Which is bigger: −4/7 or −4/9? (a) −4/7 (b) −4/9
  3. 3.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −3/21 (b) −1/7 (c) 1/7 (d) −7/1
  4. 4.Write −8/36 in standard form (lowest terms, positive denominator). (a) −8/36 (b) 2/9 (c) −2/9 (d) −9/2
  5. 5.What is (−5/9) − (−7/8)? (a) 2/17 (b) −23/72 (c) −103/72 (d) 23/72
  6. 6.What is (−1/6) + (−5/8)? (a) −19/24 (b) 11/24 (c) −3/7 (d) 19/24
  7. 7.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  8. 8.Which is smaller: −3/4 or 1/7? (a) −3/4 (b) 1/7
  9. 9.Is 4/(−8) positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of −6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  11. 11.What is (−5/9) + 1/2? (a) −19/18 (b) 1/18 (c) −4/11 (d) −1/18
  12. 12.What is 3/8 − (−6/7)? (a) −69/56 (b) −27/56 (c) 3/5 (d) 69/56
  13. 13.Is −2/5 positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −1/2 or 3/7? (a) 3/7 (b) −1/2
  15. 15.What is (−4/7) + 1/6? (a) −31/42 (b) −17/42 (c) −3/13 (d) 17/42
  16. 16.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  17. 17.What is (−8/9) + 3/8? (a) −91/72 (b) 37/72 (c) −5/17 (d) −37/72
  18. 18.What is the additive inverse of −2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  19. 19.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  20. 20.Which is smaller: −2/3 or −1/2? (a) −2/3 (b) −1/2
  21. 21.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −20/24
  22. 22.What is (−5/7) − 4/9? (a) −73/63 (b) −17/63 (c) 73/63 (d) −9/16
  23. 23.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −12/30
  24. 24.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) −6 (c) 6 (d) 1/6
  25. 25.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  26. 26.Which is smaller: −5/9 or 3/8? (a) 3/8 (b) −5/9
  27. 27.What is the additive inverse of 2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  28. 28.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −24/30 (d) −5/4
  29. 29.Is −8/2 positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −1/4 or 1/8? (a) −1/4 (b) 1/8
  31. 31.Is −7/4 positive or negative? (a) Positive (b) Negative
  32. 32.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −5/3 (c) −3/5 (d) 3/5
  33. 33.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −3/1 (d) −2/6
  35. 35.What is the additive inverse of 1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  36. 36.What is (−5/7) − 3/4? (a) 41/28 (b) −8/11 (c) 1/28 (d) −41/28
  37. 37.Which is smaller: −1/7 or −7/8? (a) −1/7 (b) −7/8
  38. 38.Which is smaller: −6/7 or −2/7? (a) −6/7 (b) −2/7
  39. 39.What is 5/8 − (−1/5)? (a) 33/40 (b) 17/40 (c) −33/40 (d) 6/13
  40. 40.What is (−4/7) − (−2/3)? (a) −1/5 (b) −26/21 (c) 2/21 (d) −2/21

Answer key

  1. −4/9
  2. −4/9
  3. −1/7
  4. −2/9
  5. 23/72
  6. −19/24
  7. Negative
  8. −3/4
  9. Negative
  10. 6/7
  11. −1/18
  12. 69/56
  13. Negative
  14. 3/7
  15. −17/42
  16. −1/3
  17. −37/72
  18. 2/7
  19. Positive
  20. −2/3
  21. −5/6
  22. −73/63
  23. −2/5
  24. 6
  25. −7/5
  26. −5/9
  27. −2/5
  28. −4/5
  29. Negative
  30. 1/8
  31. Negative
  32. 5/3
  33. Positive
  34. −1/3
  35. −1/4
  36. −41/28
  37. −7/8
  38. −6/7
  39. 33/40
  40. 2/21

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