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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 890 · 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 (−1/6) + 1/8? (a) −1/24 (b) −7/24 (c) 0 (d) 1/24
  2. 2.What is 2/7 + (−6/7)? (a) 8/7 (b) 4/7 (c) −2/7 (d) −4/7
  3. 3.What is 3/8 + (−6/7)? (a) 69/56 (b) −27/56 (c) −1/5 (d) 27/56
  4. 4.What is (−2/5) + 8/9? (a) −58/45 (b) 3/7 (c) 22/45 (d) −22/45
  5. 5.Which is bigger: −3/5 or 4/7? (a) 4/7 (b) −3/5
  6. 6.Which is bigger: −3/4 or −5/8? (a) −5/8 (b) −3/4
  7. 7.Which is smaller: −2/5 or −5/8? (a) −2/5 (b) −5/8
  8. 8.Which is smaller: −4/7 or 3/4? (a) −4/7 (b) 3/4
  9. 9.What is 5/7 − (−1/6)? (a) 23/42 (b) −37/42 (c) 6/13 (d) 37/42
  10. 10.Is 2/4 positive or negative? (a) Positive (b) Negative
  11. 11.Which is bigger: −1/7 or 2/7? (a) −1/7 (b) 2/7
  12. 12.What is (−1/8) + (−7/9)? (a) 65/72 (b) 47/72 (c) −8/17 (d) −65/72
  13. 13.What is (−5/8) + (−1/7)? (a) 43/56 (b) −27/56 (c) −43/56 (d) −2/5
  14. 14.What is the additive inverse of 5/9? (a) −9/5 (b) 9/5 (c) 5/9 (d) −5/9
  15. 15.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 7/4 (c) 4/7 (d) −7/4
  16. 16.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−1/8) + (−4/5)? (a) 27/40 (b) −5/13 (c) −37/40 (d) 37/40
  18. 18.Is −7/2 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−8/9) + (−4/7)? (a) −92/63 (b) −20/63 (c) 92/63 (d) −3/4
  20. 20.What is 3/4 − (−1/3)? (a) 5/12 (b) 4/7 (c) 13/12 (d) −13/12
  21. 21.Write −8/36 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −8/36 (c) 2/9 (d) −2/9
  22. 22.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −6/24
  23. 23.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  24. 24.What is the additive inverse of −2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  25. 25.Which is bigger: −3/7 or 5/8? (a) −3/7 (b) 5/8
  26. 26.Which is bigger: −2/7 or −7/9? (a) −2/7 (b) −7/9
  27. 27.Which is smaller: −5/8 or −4/5? (a) −5/8 (b) −4/5
  28. 28.Which is bigger: −2/7 or −4/9? (a) −4/9 (b) −2/7
  29. 29.Which is smaller: −1/5 or −6/7? (a) −1/5 (b) −6/7
  30. 30.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −30/35
  31. 31.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  32. 32.What is (−6/7) − 4/5? (a) −58/35 (b) −5/6 (c) 58/35 (d) −2/35
  33. 33.Which is smaller: −7/9 or −1/9? (a) −7/9 (b) −1/9
  34. 34.Which is bigger: −2/7 or 6/7? (a) −2/7 (b) 6/7
  35. 35.Write −12/15 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) −12/15 (d) 4/5
  36. 36.Is −2/7 positive or negative? (a) Negative (b) Positive
  37. 37.What is the additive inverse of 1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  38. 38.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −15/21
  39. 39.Is 1/7 positive or negative? (a) Positive (b) Negative
  40. 40.Which is smaller: −1/6 or −7/9? (a) −7/9 (b) −1/6

Answer key

  1. −1/24
  2. −4/7
  3. −27/56
  4. 22/45
  5. 4/7
  6. −5/8
  7. −5/8
  8. −4/7
  9. 37/42
  10. Positive
  11. 2/7
  12. −65/72
  13. −43/56
  14. −5/9
  15. −7/4
  16. Positive
  17. −37/40
  18. Negative
  19. −92/63
  20. 13/12
  21. −2/9
  22. −1/4
  23. Negative
  24. 2/3
  25. 5/8
  26. −2/7
  27. −4/5
  28. −2/7
  29. −6/7
  30. −6/7
  31. 3/5
  32. −58/35
  33. −7/9
  34. 6/7
  35. −4/5
  36. Negative
  37. −1/7
  38. −5/7
  39. Positive
  40. −7/9

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