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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 848 · 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 1/8 − (−1/8)? (a) −1/4 (b) 1/4 (c) 0 (d) 1/8
  2. 2.What is the additive inverse of −5/6? (a) 5/6 (b) 6/5 (c) −5/6 (d) −6/5
  3. 3.Write −3/12 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −3/12 (c) −4/1 (d) 1/4
  4. 4.What is (−1/7) + (−5/9)? (a) −44/63 (b) −3/8 (c) 44/63 (d) 26/63
  5. 5.What is (−2/9) + (−7/8)? (a) 79/72 (b) 47/72 (c) −79/72 (d) −9/17
  6. 6.What is (−2/3) − (−3/5)? (a) −19/15 (b) 1/15 (c) −1/15 (d) 1/8
  7. 7.What is (−7/8) − (−1/4)? (a) 5/8 (b) −5/8 (c) −9/8 (d) −1/2
  8. 8.Is −1/7 positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −5/9 or 8/9? (a) 8/9 (b) −5/9
  10. 10.Is 9/7 positive or negative? (a) Positive (b) Negative
  11. 11.Is −2/4 positive or negative? (a) Positive (b) Negative
  12. 12.What is 8/9 + (−3/7)? (a) 83/63 (b) 29/63 (c) −29/63 (d) 5/16
  13. 13.Is 7/5 positive or negative? (a) Negative (b) Positive
  14. 14.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  15. 15.Which is bigger: −7/9 or −8/9? (a) −7/9 (b) −8/9
  16. 16.What is 5/9 + (−1/2)? (a) 1/18 (b) −1/18 (c) 19/18 (d) 4/11
  17. 17.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  18. 18.Is −2/9 positive or negative? (a) Positive (b) Negative
  19. 19.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  20. 20.What is the additive inverse of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  21. 21.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  22. 22.Which is bigger: −6/7 or −1/7? (a) −1/7 (b) −6/7
  23. 23.What is 8/9 + (−2/5)? (a) 58/45 (b) 3/7 (c) −22/45 (d) 22/45
  24. 24.Which is bigger: −7/8 or −3/4? (a) −7/8 (b) −3/4
  25. 25.What is (−4/9) + 7/8? (a) −95/72 (b) −31/72 (c) 31/72 (d) 3/17
  26. 26.Which is smaller: −2/3 or −3/5? (a) −2/3 (b) −3/5
  27. 27.Which is smaller: −7/9 or −8/9? (a) −7/9 (b) −8/9
  28. 28.What is (−5/9) − 2/3? (a) 11/9 (b) 1/9 (c) −11/9 (d) −7/12
  29. 29.What is 8/9 + (−1/7)? (a) 7/16 (b) 47/63 (c) 65/63 (d) −47/63
  30. 30.Which is bigger: −1/5 or 7/8? (a) 7/8 (b) −1/5
  31. 31.Which is smaller: −1/3 or 1/9? (a) −1/3 (b) 1/9
  32. 32.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) −15/25 (d) 3/5
  33. 33.Which is smaller: −2/5 or 1/3? (a) 1/3 (b) −2/5
  34. 34.Is 3/6 positive or negative? (a) Negative (b) Positive
  35. 35.Is 3/8 positive or negative? (a) Negative (b) Positive
  36. 36.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −15/24 (c) 5/8 (d) −5/8
  37. 37.What is the additive inverse of −1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  38. 38.Which is smaller: −5/9 or −4/9? (a) −4/9 (b) −5/9
  39. 39.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) 3/8 (d) −12/32
  40. 40.Which is smaller: −7/9 or −1/6? (a) −7/9 (b) −1/6

Answer key

  1. 1/4
  2. 5/6
  3. −1/4
  4. −44/63
  5. −79/72
  6. −1/15
  7. −5/8
  8. Negative
  9. −5/9
  10. Positive
  11. Negative
  12. 29/63
  13. Positive
  14. −4/5
  15. −7/9
  16. 1/18
  17. −5/4
  18. Negative
  19. 4/3
  20. 6/7
  21. −8/7
  22. −1/7
  23. 22/45
  24. −3/4
  25. 31/72
  26. −2/3
  27. −8/9
  28. −11/9
  29. 47/63
  30. 7/8
  31. −1/3
  32. −3/5
  33. −2/5
  34. Positive
  35. Positive
  36. −5/8
  37. 1/2
  38. −5/9
  39. −3/8
  40. −7/9

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