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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 335 · 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 reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  2. 2.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −3/15 (d) 1/5
  3. 3.What is (−4/7) − (−4/9)? (a) 0 (b) −64/63 (c) −8/63 (d) 8/63
  4. 4.Which is bigger: −1/2 or −3/4? (a) −3/4 (b) −1/2
  5. 5.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  6. 6.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −15/20
  7. 7.What is the additive inverse of −2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  8. 8.What is (−2/3) + (−7/9)? (a) 1/9 (b) −3/4 (c) 13/9 (d) −13/9
  9. 9.Write −4/18 in standard form (lowest terms, positive denominator). (a) −4/18 (b) −9/2 (c) −2/9 (d) 2/9
  10. 10.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  11. 11.What is 6/7 + (−8/9)? (a) 2/63 (b) −2/63 (c) 110/63 (d) −1/8
  12. 12.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  13. 13.Is 5/7 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−8/9) + 5/6? (a) −1/5 (b) −1/18 (c) −31/18 (d) 1/18
  15. 15.What is the additive inverse of 3/4? (a) −3/4 (b) −4/3 (c) 4/3 (d) 3/4
  16. 16.What is (−5/6) − 5/9? (a) −25/18 (b) 25/18 (c) −5/18 (d) −2/3
  17. 17.What is 2/7 + (−4/7)? (a) −2/7 (b) 2/7 (c) −1/7 (d) 6/7
  18. 18.What is (−3/7) − 2/9? (a) −41/63 (b) 41/63 (c) −13/63 (d) −5/16
  19. 19.Write −12/20 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) −12/20 (d) 3/5
  20. 20.Which is smaller: −2/9 or −2/3? (a) −2/9 (b) −2/3
  21. 21.What is (−5/7) + (−7/8)? (a) −4/5 (b) 89/56 (c) 9/56 (d) −89/56
  22. 22.What is (−4/5) + 3/8? (a) 17/40 (b) −17/40 (c) −1/13 (d) −47/40
  23. 23.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −3/15
  24. 24.What is 2/7 + (−1/3)? (a) 13/21 (b) −1/21 (c) 1/21 (d) 1/10
  25. 25.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −10/12 (d) −6/5
  26. 26.What is the additive inverse of −1/7? (a) −1/7 (b) −7 (c) 7 (d) 1/7
  27. 27.What is the additive inverse of 2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  28. 28.What is 8/9 + (−1/2)? (a) −7/18 (b) 25/18 (c) 7/18 (d) 7/11
  29. 29.Is 1/7 positive or negative? (a) Negative (b) Positive
  30. 30.Is 1/8 positive or negative? (a) Positive (b) Negative
  31. 31.Is −6/6 positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −1/5 or −1/2? (a) −1/2 (b) −1/5
  33. 33.Which is smaller: −1/9 or 8/9? (a) −1/9 (b) 8/9
  34. 34.Which is bigger: −1/4 or 3/8? (a) −1/4 (b) 3/8
  35. 35.Which is smaller: −2/7 or −3/5? (a) −3/5 (b) −2/7
  36. 36.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  37. 37.What is (−4/5) + 3/7? (a) 13/35 (b) −43/35 (c) −1/12 (d) −13/35
  38. 38.Is −2/4 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−1/8) − (−1/4)? (a) −3/8 (b) 0 (c) −1/8 (d) 1/8
  40. 40.Is −2/7 positive or negative? (a) Positive (b) Negative

Answer key

  1. 8/5
  2. −1/5
  3. −8/63
  4. −1/2
  5. −4
  6. −3/4
  7. 2/5
  8. −13/9
  9. −2/9
  10. −1/4
  11. −2/63
  12. 1/4
  13. Positive
  14. −1/18
  15. −3/4
  16. −25/18
  17. −2/7
  18. −41/63
  19. −3/5
  20. −2/3
  21. −89/56
  22. −17/40
  23. −1/5
  24. −1/21
  25. −5/6
  26. 1/7
  27. −2/3
  28. 7/18
  29. Positive
  30. Positive
  31. Negative
  32. −1/2
  33. −1/9
  34. 3/8
  35. −3/5
  36. −1/2
  37. −13/35
  38. Negative
  39. 1/8
  40. Negative

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