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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 835 · 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 (−5/7) + 3/4? (a) −1/28 (b) −2/11 (c) 1/28 (d) −41/28
  2. 2.What is 3/4 − (−8/9)? (a) −5/36 (b) 59/36 (c) −59/36 (d) 11/13
  3. 3.What is (−5/9) + (−6/7)? (a) −11/16 (b) 89/63 (c) 19/63 (d) −89/63
  4. 4.What is (−1/9) − 5/6? (a) 17/18 (b) −2/5 (c) 13/18 (d) −17/18
  5. 5.What is (−1/4) − 7/9? (a) −37/36 (b) 37/36 (c) 19/36 (d) −8/13
  6. 6.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  7. 7.Is −5/8 positive or negative? (a) Positive (b) Negative
  8. 8.What is 1/6 − (−1/5)? (a) −1/30 (b) −11/30 (c) 2/11 (d) 11/30
  9. 9.What is 8/9 + (−1/8)? (a) 55/72 (b) 73/72 (c) −55/72 (d) 7/17
  10. 10.Is 9/(−5) positive or negative? (a) Negative (b) Positive
  11. 11.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −20/25 (b) −4/5 (c) −5/4 (d) 4/5
  12. 12.Which is smaller: −5/8 or 4/7? (a) −5/8 (b) 4/7
  13. 13.Which is bigger: −6/7 or −3/7? (a) −3/7 (b) −6/7
  14. 14.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  15. 15.What is 5/9 + (−1/9)? (a) 2/9 (b) −4/9 (c) 4/9 (d) 2/3
  16. 16.What is (−4/5) − 7/9? (a) −11/14 (b) 71/45 (c) −1/45 (d) −71/45
  17. 17.Which is bigger: −3/4 or 1/3? (a) 1/3 (b) −3/4
  18. 18.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  19. 19.Which is bigger: −2/9 or −3/7? (a) −2/9 (b) −3/7
  20. 20.What is (−3/7) − (−1/2)? (a) −2/9 (b) −13/14 (c) 1/14 (d) −1/14
  21. 21.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  22. 22.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 7/6 (d) 6/7
  23. 23.Which is bigger: −2/5 or 3/4? (a) −2/5 (b) 3/4
  24. 24.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −5/3 (d) −3/5
  25. 25.Which is bigger: −3/5 or 6/7? (a) 6/7 (b) −3/5
  26. 26.Which is bigger: −3/4 or −5/7? (a) −3/4 (b) −5/7
  27. 27.Is −3/(−9) positive or negative? (a) Positive (b) Negative
  28. 28.What is the additive inverse of 1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  29. 29.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −1/5 or −7/9? (a) −7/9 (b) −1/5
  31. 31.Which is bigger: −1/8 or 5/7? (a) −1/8 (b) 5/7
  32. 32.What is the additive inverse of 2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  33. 33.Is 3/7 positive or negative? (a) Negative (b) Positive
  34. 34.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −14/18 (c) −9/7 (d) −7/9
  35. 35.Which is bigger: −2/7 or 5/8? (a) 5/8 (b) −2/7
  36. 36.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of 3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  38. 38.What is (−5/6) + (−8/9)? (a) −13/15 (b) −31/18 (c) 31/18 (d) 1/18
  39. 39.What is the additive inverse of −1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  40. 40.What is (−3/7) − (−1/8)? (a) −17/56 (b) 17/56 (c) −31/56 (d) −2/15

Answer key

  1. 1/28
  2. 59/36
  3. −89/63
  4. −17/18
  5. −37/36
  6. Positive
  7. Negative
  8. 11/30
  9. 55/72
  10. Negative
  11. −4/5
  12. −5/8
  13. −3/7
  14. −4/3
  15. 4/9
  16. −71/45
  17. 1/3
  18. −1/3
  19. −2/9
  20. 1/14
  21. Positive
  22. −7/6
  23. 3/4
  24. −3/5
  25. 6/7
  26. −5/7
  27. Positive
  28. −1/6
  29. Negative
  30. −1/5
  31. 5/7
  32. −2/3
  33. Positive
  34. −7/9
  35. 5/8
  36. Negative
  37. −3/5
  38. −31/18
  39. 1/3
  40. −17/56

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