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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 350 · 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 1/4 − (−8/9)? (a) −23/36 (b) 41/36 (c) 9/13 (d) −41/36
  2. 2.What is 3/5 − (−5/7)? (a) 46/35 (b) −4/35 (c) −46/35 (d) 2/3
  3. 3.Is −1/2 positive or negative? (a) Negative (b) Positive
  4. 4.Is −1/(−9) positive or negative? (a) Negative (b) Positive
  5. 5.Which is bigger: −5/6 or 1/3? (a) 1/3 (b) −5/6
  6. 6.What is 7/9 − (−3/4)? (a) 10/13 (b) 55/36 (c) 1/36 (d) −55/36
  7. 7.Which is smaller: −2/3 or 1/5? (a) −2/3 (b) 1/5
  8. 8.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −5/35 (b) 1/7 (c) −7/1 (d) −1/7
  9. 9.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −4/20 (b) −1/5 (c) 1/5 (d) −5/1
  10. 10.What is the additive inverse of −3/4? (a) −3/4 (b) −4/3 (c) 4/3 (d) 3/4
  11. 11.What is the additive inverse of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  12. 12.What is (−1/5) − (−5/9)? (a) 2/7 (b) 16/45 (c) −16/45 (d) −34/45
  13. 13.Is 8/8 positive or negative? (a) Positive (b) Negative
  14. 14.What is 1/3 + (−5/8)? (a) −7/24 (b) −4/11 (c) 23/24 (d) 7/24
  15. 15.What is the additive inverse of −2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  16. 16.What is 4/7 + (−1/3)? (a) 3/10 (b) −5/21 (c) 19/21 (d) 5/21
  17. 17.What is the additive inverse of 2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  18. 18.Is 3/9 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−4/9) + 1/5? (a) −11/45 (b) −29/45 (c) 11/45 (d) −3/14
  20. 20.What is (−1/8) + (−3/5)? (a) 29/40 (b) 19/40 (c) −29/40 (d) −4/13
  21. 21.Which is smaller: −7/9 or −3/8? (a) −7/9 (b) −3/8
  22. 22.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  23. 23.Is −8/5 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −4/9 or 2/7? (a) −4/9 (b) 2/7
  25. 25.What is (−1/8) − (−2/7)? (a) 9/56 (b) −23/56 (c) 1/15 (d) −9/56
  26. 26.What is (−1/5) − 2/9? (a) 19/45 (b) −19/45 (c) 1/45 (d) −3/14
  27. 27.Which is bigger: −3/5 or −3/4? (a) −3/5 (b) −3/4
  28. 28.Which is smaller: −1/7 or 1/2? (a) 1/2 (b) −1/7
  29. 29.Write −5/30 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −5/30 (c) −6/1 (d) 1/6
  30. 30.Which is smaller: −1/6 or −1/7? (a) −1/6 (b) −1/7
  31. 31.What is 7/9 − (−1/8)? (a) 65/72 (b) 8/17 (c) −65/72 (d) 47/72
  32. 32.Is 9/2 positive or negative? (a) Positive (b) Negative
  33. 33.What is (−7/9) − 1/4? (a) −37/36 (b) −19/36 (c) 37/36 (d) −8/13
  34. 34.Is −7/3 positive or negative? (a) Negative (b) Positive
  35. 35.What is the additive inverse of 1/2? (a) 1/2 (b) 2 (c) −2 (d) −1/2
  36. 36.Is −5/5 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −1/8 or −4/9? (a) −4/9 (b) −1/8
  38. 38.What is (−2/3) + (−2/5)? (a) −16/15 (b) −1/2 (c) −4/15 (d) 16/15
  39. 39.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  40. 40.Is −5/(−4) positive or negative? (a) Negative (b) Positive

Answer key

  1. 41/36
  2. 46/35
  3. Negative
  4. Positive
  5. 1/3
  6. 55/36
  7. −2/3
  8. −1/7
  9. −1/5
  10. 3/4
  11. 7/8
  12. 16/45
  13. Positive
  14. −7/24
  15. 2/3
  16. 5/21
  17. −2/9
  18. Positive
  19. −11/45
  20. −29/40
  21. −7/9
  22. Negative
  23. Negative
  24. 2/7
  25. 9/56
  26. −19/45
  27. −3/5
  28. −1/7
  29. −1/6
  30. −1/6
  31. 65/72
  32. Positive
  33. −37/36
  34. Negative
  35. −1/2
  36. Negative
  37. −4/9
  38. −16/15
  39. −8/5
  40. Positive

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