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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 228 · 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: −1/5 or 8/9? (a) −1/5 (b) 8/9
  2. 2.Which is bigger: −1/4 or −3/8? (a) −3/8 (b) −1/4
  3. 3.Which is smaller: −1/4 or −4/7? (a) −4/7 (b) −1/4
  4. 4.Is 9/4 positive or negative? (a) Negative (b) Positive
  5. 5.What is (−5/8) + (−5/6)? (a) −5/7 (b) −35/24 (c) 35/24 (d) 5/24
  6. 6.What is (−1/7) − 1/3? (a) −1/5 (b) −10/21 (c) 4/21 (d) 10/21
  7. 7.What is (−4/7) + (−6/7)? (a) 2/7 (b) −5/7 (c) 10/7 (d) −10/7
  8. 8.Is −7/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.Is 3/7 positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −2/5 or 1/9? (a) 1/9 (b) −2/5
  11. 11.Is −2/9 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−5/7) + 1/8? (a) −33/56 (b) −47/56 (c) −4/15 (d) 33/56
  13. 13.Write −8/10 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) 4/5 (d) −8/10
  14. 14.Is −3/9 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−4/9) + 1/8? (a) −3/17 (b) 23/72 (c) −23/72 (d) −41/72
  16. 16.Which is smaller: −3/7 or −1/4? (a) −3/7 (b) −1/4
  17. 17.Write −36/42 in standard form (lowest terms, positive denominator). (a) −36/42 (b) −6/7 (c) −7/6 (d) 6/7
  18. 18.Is −5/6 positive or negative? (a) Positive (b) Negative
  19. 19.Which is smaller: −4/7 or 1/8? (a) 1/8 (b) −4/7
  20. 20.What is the additive inverse of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  21. 21.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3
  22. 22.What is (−3/4) + 4/7? (a) 5/28 (b) −37/28 (c) −5/28 (d) 1/11
  23. 23.What is (−1/7) + (−5/6)? (a) 41/42 (b) −6/13 (c) −41/42 (d) 29/42
  24. 24.Is 8/4 positive or negative? (a) Negative (b) Positive
  25. 25.Which is smaller: −3/4 or −2/5? (a) −3/4 (b) −2/5
  26. 26.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9
  27. 27.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) −9/1 (c) −1/9 (d) 1/9
  28. 28.Which is smaller: −5/8 or −5/7? (a) −5/7 (b) −5/8
  29. 29.Which is smaller: −1/4 or −1/5? (a) −1/5 (b) −1/4
  30. 30.Is −9/3 positive or negative? (a) Positive (b) Negative
  31. 31.What is 8/9 + (−4/7)? (a) 20/63 (b) 92/63 (c) 1/4 (d) −20/63
  32. 32.Which is bigger: −4/7 or −1/2? (a) −4/7 (b) −1/2
  33. 33.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  34. 34.What is the additive inverse of 7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  35. 35.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  36. 36.Which is smaller: −5/9 or −4/9? (a) −5/9 (b) −4/9
  37. 37.Which is bigger: −1/5 or 1/2? (a) −1/5 (b) 1/2
  38. 38.What is (−1/3) + (−2/3)? (a) −1/2 (b) −1 (c) 1/3 (d) 1
  39. 39.Which is bigger: −1/8 or −5/9? (a) −1/8 (b) −5/9
  40. 40.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −4/18 (d) −2/9

Answer key

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

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