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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 21 · 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 additive inverse of 1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  2. 2.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  3. 3.Write −5/20 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −5/20 (c) −1/4 (d) 1/4
  4. 4.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  5. 5.Write −5/35 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) −5/35 (d) 1/7
  6. 6.Which is bigger: −5/7 or −1/4? (a) −1/4 (b) −5/7
  7. 7.Which is smaller: −4/5 or −5/7? (a) −5/7 (b) −4/5
  8. 8.Which is bigger: −2/7 or −2/3? (a) −2/7 (b) −2/3
  9. 9.What is (−1/9) + 8/9? (a) −7/9 (b) 7/18 (c) −1 (d) 7/9
  10. 10.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  11. 11.Is −4/5 positive or negative? (a) Negative (b) Positive
  12. 12.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −10/25 (c) −2/5 (d) −5/2
  13. 13.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) −4/7 (c) −7/4 (d) 4/7
  14. 14.Is 4/3 positive or negative? (a) Negative (b) Positive
  15. 15.What is (−5/7) − (−1/3)? (a) −22/21 (b) 8/21 (c) −2/5 (d) −8/21
  16. 16.Is −5/2 positive or negative? (a) Positive (b) Negative
  17. 17.What is 1/9 − (−8/9)? (a) 1/2 (b) 1 (c) −1 (d) −7/9
  18. 18.Is 1/5 positive or negative? (a) Negative (b) Positive
  19. 19.What is 2/5 + (−2/7)? (a) −4/35 (b) 4/35 (c) 24/35 (d) 0
  20. 20.Which is smaller: −4/5 or −2/5? (a) −4/5 (b) −2/5
  21. 21.Which is smaller: −5/7 or −1/5? (a) −1/5 (b) −5/7
  22. 22.What is 1/3 − (−5/9)? (a) 8/9 (b) 1/2 (c) −8/9 (d) −2/9
  23. 23.What is (−3/5) + 4/9? (a) −7/45 (b) 1/14 (c) 7/45 (d) −47/45
  24. 24.What is (−3/7) + 2/5? (a) −1/12 (b) 1/35 (c) −1/35 (d) −29/35
  25. 25.What is 2/3 + (−1/6)? (a) 5/6 (b) 1/2 (c) −1/2 (d) 1/9
  26. 26.What is 2/5 − (−2/3)? (a) 16/15 (b) −16/15 (c) 1/2 (d) −4/15
  27. 27.What is (−1/9) − 1/6? (a) −2/15 (b) −5/18 (c) 5/18 (d) 1/18
  28. 28.What is the additive inverse of 3/4? (a) 4/3 (b) −4/3 (c) −3/4 (d) 3/4
  29. 29.Which is bigger: −4/5 or −6/7? (a) −4/5 (b) −6/7
  30. 30.Write −9/12 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −9/12 (d) −3/4
  31. 31.What is (−4/5) − 4/9? (a) −4/7 (b) −56/45 (c) −16/45 (d) 56/45
  32. 32.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  33. 33.What is the additive inverse of −4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  34. 34.Write −8/10 in standard form (lowest terms, positive denominator). (a) −8/10 (b) −4/5 (c) 4/5 (d) −5/4
  35. 35.What is (−8/9) + 5/8? (a) −19/72 (b) −3/17 (c) −109/72 (d) 19/72
  36. 36.Is −1/8 positive or negative? (a) Negative (b) Positive
  37. 37.Which is bigger: −1/4 or −3/4? (a) −1/4 (b) −3/4
  38. 38.What is 8/9 − (−1/4)? (a) −41/36 (b) 9/13 (c) 41/36 (d) 23/36
  39. 39.Is −3/7 positive or negative? (a) Negative (b) Positive
  40. 40.Which is bigger: −2/3 or −6/7? (a) −6/7 (b) −2/3

Answer key

  1. −1/2
  2. Positive
  3. −1/4
  4. Negative
  5. −1/7
  6. −1/4
  7. −4/5
  8. −2/7
  9. 7/9
  10. Negative
  11. Negative
  12. −2/5
  13. −4/7
  14. Positive
  15. −8/21
  16. Negative
  17. 1
  18. Positive
  19. 4/35
  20. −4/5
  21. −5/7
  22. 8/9
  23. −7/45
  24. −1/35
  25. 1/2
  26. 16/15
  27. −5/18
  28. −3/4
  29. −4/5
  30. −3/4
  31. −56/45
  32. −7/2
  33. 4/7
  34. −4/5
  35. −19/72
  36. Negative
  37. −1/4
  38. 41/36
  39. Negative
  40. −2/3

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