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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 345 · 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 the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  2. 2.What is the additive inverse of 1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  3. 3.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −4/10
  4. 4.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  5. 5.Is −8/5 positive or negative? (a) Positive (b) Negative
  6. 6.Which is bigger: −1/7 or −7/9? (a) −7/9 (b) −1/7
  7. 7.Which is bigger: −1/3 or −5/8? (a) −5/8 (b) −1/3
  8. 8.Is 8/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.Is 9/2 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−2/3) − 1/9? (a) 7/9 (b) −7/9 (c) −5/9 (d) −1/4
  11. 11.Which is bigger: −6/7 or 7/9? (a) 7/9 (b) −6/7
  12. 12.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  13. 13.Is −2/(−9) positive or negative? (a) Negative (b) Positive
  14. 14.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −20/28
  15. 15.What is (−3/8) + (−1/4)? (a) −5/8 (b) −1/3 (c) −1/8 (d) 5/8
  16. 16.Which is smaller: −1/7 or 1/5? (a) 1/5 (b) −1/7
  17. 17.What is (−4/5) + (−4/9)? (a) −56/45 (b) −4/7 (c) 56/45 (d) −16/45
  18. 18.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  19. 19.Which is smaller: −2/7 or 1/3? (a) 1/3 (b) −2/7
  20. 20.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −2/3 (d) −10/15
  21. 21.What is 4/9 + (−3/4)? (a) 1/13 (b) −11/36 (c) 11/36 (d) 43/36
  22. 22.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −3/15 (d) 1/5
  23. 23.What is the additive inverse of −1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  24. 24.Is 7/3 positive or negative? (a) Positive (b) Negative
  25. 25.Write −8/10 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −8/10 (c) −4/5 (d) −5/4
  26. 26.What is (−3/5) + 3/4? (a) 0 (b) −3/20 (c) 3/20 (d) −27/20
  27. 27.What is (−1/5) + (−5/9)? (a) 34/45 (b) 16/45 (c) −34/45 (d) −3/7
  28. 28.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −30/36 (d) −6/5
  29. 29.What is 1/3 + (−3/8)? (a) −2/11 (b) 1/24 (c) −1/24 (d) 17/24
  30. 30.What is (−1/2) − 1/2? (a) 0 (b) −1 (c) −1/2 (d) 1
  31. 31.What is (−8/9) + (−1/4)? (a) −23/36 (b) −9/13 (c) −41/36 (d) 41/36
  32. 32.What is 4/9 + (−1/3)? (a) −1/9 (b) 7/9 (c) 1/9 (d) 1/4
  33. 33.Is −9/7 positive or negative? (a) Negative (b) Positive
  34. 34.Which is bigger: −2/3 or −6/7? (a) −2/3 (b) −6/7
  35. 35.Which is bigger: −1/7 or −2/9? (a) −2/9 (b) −1/7
  36. 36.What is the additive inverse of −7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  37. 37.What is 3/4 + (−5/8)? (a) −1/6 (b) 11/8 (c) 1/8 (d) −1/8
  38. 38.Which is smaller: −7/8 or −2/5? (a) −7/8 (b) −2/5
  39. 39.Which is bigger: −1/7 or −1/5? (a) −1/5 (b) −1/7
  40. 40.What is 1/4 − (−3/4)? (a) −1 (b) 1 (c) −1/2 (d) 1/2

Answer key

  1. −7/2
  2. −1/3
  3. −2/5
  4. Positive
  5. Negative
  6. −1/7
  7. −1/3
  8. Negative
  9. Positive
  10. −7/9
  11. 7/9
  12. 7/5
  13. Positive
  14. −5/7
  15. −5/8
  16. −1/7
  17. −56/45
  18. −2/9
  19. −2/7
  20. −2/3
  21. −11/36
  22. −1/5
  23. 1/6
  24. Positive
  25. −4/5
  26. 3/20
  27. −34/45
  28. −5/6
  29. −1/24
  30. −1
  31. −41/36
  32. 1/9
  33. Negative
  34. −2/3
  35. −1/7
  36. 7/8
  37. 1/8
  38. −7/8
  39. −1/7
  40. 1

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