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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 938 · 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 (−2/5) + 2/5? (a) 0 (b) −4/5
  2. 2.What is (−1/9) − (−4/5)? (a) −41/45 (b) 31/45 (c) −31/45 (d) 3/14
  3. 3.Which is bigger: −1/3 or 8/9? (a) 8/9 (b) −1/3
  4. 4.What is (−7/9) + 5/6? (a) −2/15 (b) −1/18 (c) −29/18 (d) 1/18
  5. 5.Which is smaller: −5/6 or 2/5? (a) −5/6 (b) 2/5
  6. 6.What is (−2/5) + (−3/5)? (a) −1/2 (b) 1 (c) 1/5 (d) −1
  7. 7.What is 1/9 − (−3/7)? (a) 1/4 (b) −34/63 (c) −20/63 (d) 34/63
  8. 8.What is (−3/8) + (−7/9)? (a) 29/72 (b) −10/17 (c) 83/72 (d) −83/72
  9. 9.What is (−3/5) − (−2/3)? (a) −1/8 (b) −1/15 (c) −19/15 (d) 1/15
  10. 10.Write −40/45 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −40/45 (d) 8/9
  11. 11.What is 1/3 + (−7/9)? (a) −1/2 (b) −4/9 (c) 4/9 (d) 10/9
  12. 12.Is −7/(−4) positive or negative? (a) Negative (b) Positive
  13. 13.Write −16/20 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −16/20
  14. 14.Write −10/45 in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −10/45 (d) −9/2
  15. 15.What is (−1/2) + 4/9? (a) −17/18 (b) −1/18 (c) 1/18 (d) 3/11
  16. 16.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −15/25 (b) 3/5 (c) −3/5 (d) −5/3
  17. 17.Write −20/36 in standard form (lowest terms, positive denominator). (a) −20/36 (b) 5/9 (c) −5/9 (d) −9/5
  18. 18.What is 3/7 + (−1/6)? (a) −11/42 (b) 11/42 (c) 2/13 (d) 25/42
  19. 19.Write −6/10 in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −5/3 (d) −6/10
  20. 20.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 7/9 (d) 9/7
  21. 21.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −3/5 or −1/8? (a) −1/8 (b) −3/5
  23. 23.What is the additive inverse of −1/2? (a) 2 (b) −1/2 (c) −2 (d) 1/2
  24. 24.What is (−1/2) − 1/9? (a) 11/18 (b) −7/18 (c) −2/11 (d) −11/18
  25. 25.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −15/21
  26. 26.What is the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  27. 27.What is (−5/9) + 1/8? (a) −4/17 (b) −31/72 (c) 31/72 (d) −49/72
  28. 28.Which is smaller: −3/8 or 5/8? (a) −3/8 (b) 5/8
  29. 29.What is (−5/6) − 5/7? (a) −10/13 (b) −65/42 (c) 65/42 (d) −5/42
  30. 30.Which is bigger: −4/9 or −3/8? (a) −4/9 (b) −3/8
  31. 31.What is (−1/3) − 4/7? (a) −1/2 (b) 19/21 (c) 5/21 (d) −19/21
  32. 32.Is 6/5 positive or negative? (a) Positive (b) Negative
  33. 33.What is 2/5 + (−5/8)? (a) 41/40 (b) −3/13 (c) −9/40 (d) 9/40
  34. 34.Is 8/4 positive or negative? (a) Positive (b) Negative
  35. 35.Is 3/6 positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of 4/9? (a) −4/9 (b) 4/9 (c) −9/4 (d) 9/4
  37. 37.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  38. 38.What is (−2/9) + 1/4? (a) −1/36 (b) −1/13 (c) 1/36 (d) −17/36
  39. 39.Is 8/6 positive or negative? (a) Positive (b) Negative
  40. 40.Is 9/(−8) positive or negative? (a) Positive (b) Negative

Answer key

  1. 0
  2. 31/45
  3. 8/9
  4. 1/18
  5. −5/6
  6. −1
  7. 34/63
  8. −83/72
  9. 1/15
  10. −8/9
  11. −4/9
  12. Positive
  13. −4/5
  14. −2/9
  15. −1/18
  16. −3/5
  17. −5/9
  18. 11/42
  19. −3/5
  20. 7/9
  21. Positive
  22. −1/8
  23. 1/2
  24. −11/18
  25. −5/7
  26. −1/6
  27. −31/72
  28. −3/8
  29. −65/42
  30. −3/8
  31. −19/21
  32. Positive
  33. −9/40
  34. Positive
  35. Positive
  36. −4/9
  37. −1/3
  38. 1/36
  39. Positive
  40. Negative

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