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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 224 · 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: −5/7 or 1/5? (a) 1/5 (b) −5/7
  2. 2.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −12/30 (d) −5/2
  3. 3.What is (−6/7) + 1/8? (a) 41/56 (b) −1/3 (c) −55/56 (d) −41/56
  4. 4.Is −5/3 positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −1/8 or 2/5? (a) 2/5 (b) −1/8
  6. 6.Which is bigger: −1/4 or −1/8? (a) −1/4 (b) −1/8
  7. 7.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  8. 8.What is (−5/7) − (−1/7)? (a) 4/7 (b) −6/7 (c) −2/7 (d) −4/7
  9. 9.What is (−1/4) − 1/4? (a) −1/2 (b) 1/2 (c) 0 (d) −1/4
  10. 10.What is (−1/6) − 1/4? (a) −5/12 (b) 1/12 (c) 5/12 (d) −1/5
  11. 11.What is 7/8 + (−3/4)? (a) −1/8 (b) 1/3 (c) 1/8 (d) 13/8
  12. 12.Which is smaller: −4/9 or 3/5? (a) 3/5 (b) −4/9
  13. 13.Which is bigger: −1/5 or −1/6? (a) −1/6 (b) −1/5
  14. 14.What is 5/8 + (−5/6)? (a) −5/24 (b) 0 (c) 35/24 (d) 5/24
  15. 15.Write −4/18 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −4/18 (c) 2/9 (d) −2/9
  16. 16.What is (−5/9) + 6/7? (a) −89/63 (b) 1/16 (c) 19/63 (d) −19/63
  17. 17.What is 1/6 − (−7/9)? (a) −17/18 (b) −11/18 (c) 8/15 (d) 17/18
  18. 18.Is 2/2 positive or negative? (a) Positive (b) Negative
  19. 19.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  20. 20.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) −8/28 (d) 2/7
  21. 21.Write −8/28 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −8/28
  22. 22.Which is bigger: −5/9 or −7/8? (a) −7/8 (b) −5/9
  23. 23.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) 1/7 (c) −1/7 (d) −7
  24. 24.Is −3/3 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−8/9) + (−5/9)? (a) −13/9 (b) −13/18 (c) −1/3 (d) 13/9
  26. 26.Write −16/20 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −4/5 (d) −16/20
  27. 27.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) 4/5 (c) −4/5 (d) 5/4
  28. 28.What is (−1/9) − (−5/9)? (a) −4/9 (b) −2/3 (c) 2/9 (d) 4/9
  29. 29.What is (−2/5) + (−5/8)? (a) 41/40 (b) 9/40 (c) −41/40 (d) −7/13
  30. 30.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −2/8 (c) 1/4 (d) −4/1
  31. 31.What is the additive inverse of 3/7? (a) −7/3 (b) 3/7 (c) 7/3 (d) −3/7
  32. 32.Is 1/2 positive or negative? (a) Negative (b) Positive
  33. 33.Write −9/24 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −3/8 (d) −9/24
  34. 34.What is (−2/9) − (−1/8)? (a) −7/72 (b) −25/72 (c) −1/17 (d) 7/72
  35. 35.Which is bigger: −5/7 or 2/9? (a) −5/7 (b) 2/9
  36. 36.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  37. 37.Write −6/54 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −6/54 (d) 1/9
  38. 38.What is (−3/5) + (−1/4)? (a) −7/20 (b) 17/20 (c) −17/20 (d) −4/9
  39. 39.Which is bigger: −3/7 or 1/8? (a) 1/8 (b) −3/7
  40. 40.What is the reciprocal (multiplicative inverse) of 5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8

Answer key

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

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