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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 365 · 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.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  2. 2.Write −9/24 in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −3/8 (d) −9/24
  3. 3.Is 3/6 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−7/8) + 1/4? (a) −1/2 (b) −5/8 (c) 5/8 (d) −9/8
  5. 5.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  6. 6.What is (−5/6) − 1/2? (a) 4/3 (b) −4/3 (c) −3/4 (d) −1/3
  7. 7.What is (−1/7) + 7/8? (a) −57/56 (b) 2/5 (c) 41/56 (d) −41/56
  8. 8.What is 1/9 − (−2/9)? (a) −1/9 (b) 1/3 (c) −1/3 (d) 1/6
  9. 9.Is −9/(−5) positive or negative? (a) Positive (b) Negative
  10. 10.What is (−7/9) + 1/7? (a) −3/8 (b) −58/63 (c) 40/63 (d) −40/63
  11. 11.What is (−3/4) − (−2/5)? (a) −7/20 (b) −23/20 (c) 7/20 (d) −1/9
  12. 12.What is (−1/4) + 5/7? (a) −27/28 (b) −13/28 (c) 13/28 (d) 4/11
  13. 13.What is (−1/9) − 5/6? (a) 17/18 (b) −2/5 (c) −17/18 (d) 13/18
  14. 14.What is (−1/3) + (−4/7)? (a) 5/21 (b) 19/21 (c) −19/21 (d) −1/2
  15. 15.Which is smaller: −6/7 or 2/9? (a) −6/7 (b) 2/9
  16. 16.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/9 (b) −1/3 (c) −3/1 (d) 1/3
  17. 17.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  18. 18.What is 2/3 + (−1/6)? (a) 1/9 (b) 5/6 (c) −1/2 (d) 1/2
  19. 19.Is −3/6 positive or negative? (a) Negative (b) Positive
  20. 20.Write −8/10 in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −8/10 (d) −5/4
  21. 21.Which is smaller: −2/5 or −8/9? (a) −2/5 (b) −8/9
  22. 22.Write −3/12 in standard form (lowest terms, positive denominator). (a) −3/12 (b) −1/4 (c) −4/1 (d) 1/4
  23. 23.What is 5/6 − (−5/6)? (a) 5/6 (b) 0 (c) 5/3 (d) −5/3
  24. 24.Which is smaller: −5/8 or 1/7? (a) −5/8 (b) 1/7
  25. 25.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −8/14 (c) 4/7 (d) −4/7
  26. 26.Write −8/12 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −8/12
  27. 27.Which is bigger: −2/3 or 1/2? (a) −2/3 (b) 1/2
  28. 28.Write −2/14 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −1/7 (d) −2/14
  29. 29.What is (−4/7) − 1/3? (a) 19/21 (b) −1/2 (c) −5/21 (d) −19/21
  30. 30.What is (−3/4) + 2/5? (a) −7/20 (b) −23/20 (c) −1/9 (d) 7/20
  31. 31.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  32. 32.Which is smaller: −3/7 or −7/8? (a) −7/8 (b) −3/7
  33. 33.What is (−6/7) + 1/7? (a) 5/7 (b) −5/14 (c) −1 (d) −5/7
  34. 34.Is −6/8 positive or negative? (a) Positive (b) Negative
  35. 35.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  36. 36.What is 5/6 − (−2/3)? (a) 7/9 (b) 1/6 (c) −3/2 (d) 3/2
  37. 37.Which is smaller: −3/7 or −2/5? (a) −3/7 (b) −2/5
  38. 38.Which is smaller: −4/7 or −3/5? (a) −3/5 (b) −4/7
  39. 39.Is 1/8 positive or negative? (a) Positive (b) Negative
  40. 40.What is (−3/4) + 1/4? (a) −1/4 (b) −1 (c) 1/2 (d) −1/2

Answer key

  1. Negative
  2. −3/8
  3. Positive
  4. −5/8
  5. 9/8
  6. −4/3
  7. 41/56
  8. 1/3
  9. Positive
  10. −40/63
  11. −7/20
  12. 13/28
  13. −17/18
  14. −19/21
  15. −6/7
  16. −1/3
  17. −8/9
  18. 1/2
  19. Negative
  20. −4/5
  21. −8/9
  22. −1/4
  23. 5/3
  24. −5/8
  25. −4/7
  26. −2/3
  27. 1/2
  28. −1/7
  29. −19/21
  30. −7/20
  31. −7/4
  32. −7/8
  33. −5/7
  34. Negative
  35. 4
  36. 3/2
  37. −3/7
  38. −3/5
  39. Positive
  40. −1/2

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