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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 299 · 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 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) 5/7 (c) −5/7 (d) −7/5
  2. 2.Write −20/35 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −20/35 (c) −7/4 (d) 4/7
  3. 3.Which is bigger: −4/5 or −5/6? (a) −5/6 (b) −4/5
  4. 4.Which is smaller: −1/6 or −2/9? (a) −2/9 (b) −1/6
  5. 5.What is (−2/9) − (−1/9)? (a) −1/3 (b) −1/18 (c) 1/9 (d) −1/9
  6. 6.Is −6/4 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−3/7) + 1/3? (a) 2/21 (b) −16/21 (c) −2/21 (d) −1/5
  8. 8.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 1/4 (c) 4 (d) −4
  9. 9.What is the additive inverse of −1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  10. 10.Which is smaller: −8/9 or 1/6? (a) 1/6 (b) −8/9
  11. 11.What is 5/9 + (−1/3)? (a) 2/9 (b) −2/9 (c) 1/3 (d) 8/9
  12. 12.What is (−3/8) − 5/8? (a) −1/2 (b) 1 (c) −1 (d) 1/4
  13. 13.Is 1/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−4/9) − 7/9? (a) 1/3 (b) −11/9 (c) −11/18 (d) 11/9
  15. 15.What is the additive inverse of 2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  16. 16.What is (−1/4) − 2/3? (a) 11/12 (b) −3/7 (c) 5/12 (d) −11/12
  17. 17.Which is smaller: −1/3 or −1/2? (a) −1/2 (b) −1/3
  18. 18.What is (−1/3) + 1/8? (a) 0 (b) −11/24 (c) 5/24 (d) −5/24
  19. 19.Which is bigger: −1/2 or 3/4? (a) 3/4 (b) −1/2
  20. 20.Which is bigger: −4/9 or −1/7? (a) −1/7 (b) −4/9
  21. 21.Which is smaller: −5/8 or 8/9? (a) 8/9 (b) −5/8
  22. 22.What is (−7/8) − (−5/7)? (a) 9/56 (b) −89/56 (c) −9/56 (d) −2/15
  23. 23.Which is smaller: −1/7 or 3/7? (a) −1/7 (b) 3/7
  24. 24.Which is smaller: −8/9 or −1/3? (a) −8/9 (b) −1/3
  25. 25.What is 2/9 + (−3/7)? (a) 13/63 (b) −1/16 (c) −13/63 (d) 41/63
  26. 26.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −48/54 (b) 8/9 (c) −8/9 (d) −9/8
  27. 27.Is −3/5 positive or negative? (a) Positive (b) Negative
  28. 28.What is 1/4 + (−3/5)? (a) −2/9 (b) 7/20 (c) 17/20 (d) −7/20
  29. 29.Which is bigger: −2/9 or 1/4? (a) −2/9 (b) 1/4
  30. 30.Is 1/4 positive or negative? (a) Negative (b) Positive
  31. 31.Write −4/36 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −4/36 (c) 1/9 (d) −1/9
  32. 32.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  33. 33.Write −28/32 in standard form (lowest terms, positive denominator). (a) −28/32 (b) 7/8 (c) −8/7 (d) −7/8
  34. 34.Which is smaller: −1/6 or 1/8? (a) −1/6 (b) 1/8
  35. 35.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  36. 36.What is 7/8 + (−2/3)? (a) 37/24 (b) −5/24 (c) 5/11 (d) 5/24
  37. 37.Which is smaller: −4/9 or 1/2? (a) 1/2 (b) −4/9
  38. 38.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  39. 39.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  40. 40.Which is bigger: −5/7 or −4/5? (a) −4/5 (b) −5/7

Answer key

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

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