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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 162 · 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 the additive inverse of 3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7
  2. 2.What is 1/3 + (−1/9)? (a) 4/9 (b) 0 (c) 2/9 (d) −2/9
  3. 3.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −2/12 (b) 1/6 (c) −1/6 (d) −6/1
  4. 4.Which is smaller: −2/5 or −1/3? (a) −2/5 (b) −1/3
  5. 5.Which is bigger: −7/9 or −8/9? (a) −7/9 (b) −8/9
  6. 6.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −8/18 (c) 4/9 (d) −4/9
  7. 7.Which is bigger: −4/9 or 7/9? (a) −4/9 (b) 7/9
  8. 8.Which is smaller: −4/9 or 1/4? (a) 1/4 (b) −4/9
  9. 9.What is 5/7 + (−3/5)? (a) 4/35 (b) −4/35 (c) 46/35 (d) 1/6
  10. 10.What is (−3/8) − 1/6? (a) 13/24 (b) −2/7 (c) −5/24 (d) −13/24
  11. 11.Is −3/5 positive or negative? (a) Positive (b) Negative
  12. 12.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  13. 13.What is the additive inverse of 2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  14. 14.What is the additive inverse of −8/9? (a) −8/9 (b) 9/8 (c) 8/9 (d) −9/8
  15. 15.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −6/21 (b) −7/2 (c) −2/7 (d) 2/7
  16. 16.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −5/8 (d) −25/40
  17. 17.Which is bigger: −7/9 or 1/6? (a) 1/6 (b) −7/9
  18. 18.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  19. 19.Is 5/6 positive or negative? (a) Positive (b) Negative
  20. 20.What is 1/7 + (−1/8)? (a) −1/56 (b) 0 (c) 1/56 (d) 15/56
  21. 21.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  22. 22.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  23. 23.What is 3/4 − (−2/3)? (a) 17/12 (b) 5/7 (c) 1/12 (d) −17/12
  24. 24.Which is smaller: −4/9 or 5/6? (a) −4/9 (b) 5/6
  25. 25.What is 6/7 + (−1/5)? (a) 5/12 (b) −23/35 (c) 37/35 (d) 23/35
  26. 26.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  27. 27.What is 1/8 − (−4/9)? (a) −23/72 (b) 5/17 (c) 41/72 (d) −41/72
  28. 28.What is the additive inverse of 3/8? (a) 8/3 (b) −8/3 (c) −3/8 (d) 3/8
  29. 29.Which is smaller: −5/6 or −2/5? (a) −5/6 (b) −2/5
  30. 30.Which is smaller: −1/4 or −6/7? (a) −1/4 (b) −6/7
  31. 31.What is the additive inverse of −5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  32. 32.Which is smaller: −1/2 or −4/5? (a) −1/2 (b) −4/5
  33. 33.What is (−1/5) − 4/5? (a) 3/5 (b) 1 (c) −1/2 (d) −1
  34. 34.What is (−4/9) + (−1/2)? (a) 1/18 (b) −17/18 (c) −5/11 (d) 17/18
  35. 35.Is −6/7 positive or negative? (a) Positive (b) Negative
  36. 36.What is (−5/8) + (−4/9)? (a) 77/72 (b) −77/72 (c) −13/72 (d) −9/17
  37. 37.Is −6/(−3) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−1/8) − 2/5? (a) 21/40 (b) −3/13 (c) 11/40 (d) −21/40
  39. 39.What is (−2/9) + 5/7? (a) −59/63 (b) 31/63 (c) −31/63 (d) 3/16
  40. 40.What is (−1/4) + (−8/9)? (a) 23/36 (b) −41/36 (c) 41/36 (d) −9/13

Answer key

  1. −3/7
  2. 2/9
  3. −1/6
  4. −2/5
  5. −7/9
  6. −4/9
  7. 7/9
  8. −4/9
  9. 4/35
  10. −13/24
  11. Negative
  12. 7/4
  13. −2/9
  14. 8/9
  15. −2/7
  16. −5/8
  17. 1/6
  18. Negative
  19. Positive
  20. 1/56
  21. −7/6
  22. 4/3
  23. 17/12
  24. −4/9
  25. 23/35
  26. 9/4
  27. 41/72
  28. −3/8
  29. −5/6
  30. −6/7
  31. 5/7
  32. −4/5
  33. −1
  34. −17/18
  35. Negative
  36. −77/72
  37. Positive
  38. −21/40
  39. 31/63
  40. −41/36

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