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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 411 · 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 8/9 + (−1/7)? (a) 65/63 (b) 47/63 (c) −47/63 (d) 7/16
  2. 2.What is the additive inverse of −5/9? (a) −5/9 (b) 9/5 (c) −9/5 (d) 5/9
  3. 3.Which is smaller: −5/8 or −7/8? (a) −7/8 (b) −5/8
  4. 4.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −20/36
  5. 5.What is 1/4 + (−5/9)? (a) −4/13 (b) −11/36 (c) 11/36 (d) 29/36
  6. 6.Which is smaller: −3/5 or 5/6? (a) −3/5 (b) 5/6
  7. 7.Is −2/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −3/5 or −1/3? (a) −3/5 (b) −1/3
  9. 9.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −5/3 (d) −3/5
  10. 10.Which is bigger: −1/4 or −1/9? (a) −1/9 (b) −1/4
  11. 11.What is 1/7 + (−4/9)? (a) 37/63 (b) −19/63 (c) 19/63 (d) −3/16
  12. 12.Which is bigger: −3/7 or 5/8? (a) −3/7 (b) 5/8
  13. 13.Is −3/(−9) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−4/5) − (−2/5)? (a) −6/5 (b) −1/5 (c) −2/5 (d) 2/5
  15. 15.What is (−8/9) + 4/7? (a) 20/63 (b) −92/63 (c) −1/4 (d) −20/63
  16. 16.Which is bigger: −1/9 or −1/4? (a) −1/4 (b) −1/9
  17. 17.What is 6/7 − (−1/9)? (a) 7/16 (b) 61/63 (c) −61/63 (d) 47/63
  18. 18.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  19. 19.What is (−3/4) + 3/4? (a) −3/2 (b) 0
  20. 20.What is the additive inverse of −4/9? (a) 4/9 (b) −4/9 (c) −9/4 (d) 9/4
  21. 21.What is 4/9 + (−1/5)? (a) −11/45 (b) 3/14 (c) 11/45 (d) 29/45
  22. 22.What is (−6/7) + (−1/3)? (a) −7/10 (b) −25/21 (c) 25/21 (d) −11/21
  23. 23.Is −7/4 positive or negative? (a) Positive (b) Negative
  24. 24.What is 1/7 + (−5/6)? (a) −4/13 (b) 41/42 (c) −29/42 (d) 29/42
  25. 25.What is the additive inverse of 4/7? (a) −4/7 (b) −7/4 (c) 7/4 (d) 4/7
  26. 26.Which is bigger: −3/7 or −3/5? (a) −3/5 (b) −3/7
  27. 27.Which is smaller: −3/5 or −3/7? (a) −3/5 (b) −3/7
  28. 28.What is (−1/8) + 2/7? (a) −9/56 (b) 1/15 (c) −23/56 (d) 9/56
  29. 29.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  30. 30.Is 6/7 positive or negative? (a) Negative (b) Positive
  31. 31.What is the additive inverse of 5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  32. 32.What is 1/5 − (−7/8)? (a) −43/40 (b) −27/40 (c) 43/40 (d) 8/13
  33. 33.Is −2/5 positive or negative? (a) Positive (b) Negative
  34. 34.Which is bigger: −1/2 or 3/5? (a) 3/5 (b) −1/2
  35. 35.Write −10/16 in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −5/8 (d) −10/16
  36. 36.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of 7/9? (a) −9/7 (b) −7/9 (c) 7/9 (d) 9/7
  38. 38.What is (−1/5) − 2/7? (a) 3/35 (b) 17/35 (c) −1/4 (d) −17/35
  39. 39.Is 6/5 positive or negative? (a) Positive (b) Negative
  40. 40.What is (−4/7) + (−1/2)? (a) −5/9 (b) −15/14 (c) −1/14 (d) 15/14

Answer key

  1. 47/63
  2. 5/9
  3. −7/8
  4. −5/9
  5. −11/36
  6. −3/5
  7. Positive
  8. −1/3
  9. −3/5
  10. −1/9
  11. −19/63
  12. 5/8
  13. Positive
  14. −2/5
  15. −20/63
  16. −1/9
  17. 61/63
  18. −1/3
  19. 0
  20. 4/9
  21. 11/45
  22. −25/21
  23. Negative
  24. −29/42
  25. −4/7
  26. −3/7
  27. −3/5
  28. 9/56
  29. −2
  30. Positive
  31. −5/9
  32. 43/40
  33. Negative
  34. 3/5
  35. −5/8
  36. Positive
  37. −7/9
  38. −17/35
  39. Positive
  40. −15/14

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