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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 68 · 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 8/9? (a) −9/8 (b) 8/9 (c) −8/9 (d) 9/8
  2. 2.Write −8/18 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −8/18 (d) 4/9
  3. 3.Which is bigger: −2/3 or 1/4? (a) 1/4 (b) −2/3
  4. 4.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −4/12
  5. 5.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−1/4) + 2/3? (a) −5/12 (b) −11/12 (c) 1/7 (d) 5/12
  7. 7.Which is bigger: −6/7 or 3/8? (a) 3/8 (b) −6/7
  8. 8.What is 1/5 + (−2/9)? (a) −1/14 (b) −1/45 (c) 1/45 (d) 19/45
  9. 9.Which is smaller: −3/4 or 5/7? (a) −3/4 (b) 5/7
  10. 10.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −2/14 (c) −7/1 (d) 1/7
  11. 11.What is the additive inverse of 4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  12. 12.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −1/8 or −1/6? (a) −1/6 (b) −1/8
  14. 14.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −8/28 (b) −7/2 (c) −2/7 (d) 2/7
  15. 15.Write −8/28 in standard form (lowest terms, positive denominator). (a) −8/28 (b) −2/7 (c) −7/2 (d) 2/7
  16. 16.Write −4/8 in standard form (lowest terms, positive denominator). (a) −4/8 (b) −1/2 (c) 1/2 (d) −2/1
  17. 17.What is the additive inverse of −1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  18. 18.What is (−3/7) − (−1/5)? (a) 8/35 (b) −22/35 (c) −1/6 (d) −8/35
  19. 19.What is (−2/3) + 1/3? (a) −1/3 (b) −1/6 (c) −1 (d) 1/3
  20. 20.Write −15/35 in standard form (lowest terms, positive denominator). (a) −15/35 (b) 3/7 (c) −3/7 (d) −7/3
  21. 21.Which is bigger: −1/5 or −7/9? (a) −7/9 (b) −1/5
  22. 22.Write −28/32 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) 7/8 (d) −28/32
  23. 23.Which is bigger: −4/9 or 5/7? (a) 5/7 (b) −4/9
  24. 24.Write −5/10 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −5/10 (d) −2/1
  25. 25.Is 2/2 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/4) + 7/8? (a) −5/8 (b) −9/8 (c) 5/8 (d) 1/2
  27. 27.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  28. 28.What is (−1/5) − 1/4? (a) 9/20 (b) −9/20 (c) 1/20 (d) −2/9
  29. 29.What is (−3/7) + 2/3? (a) −23/21 (b) −5/21 (c) −1/10 (d) 5/21
  30. 30.Which is smaller: −1/9 or −2/9? (a) −1/9 (b) −2/9
  31. 31.What is (−1/9) + 5/6? (a) −17/18 (b) 13/18 (c) −13/18 (d) 4/15
  32. 32.Is 4/2 positive or negative? (a) Positive (b) Negative
  33. 33.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −24/28 (b) −7/6 (c) −6/7 (d) 6/7
  34. 34.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  35. 35.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −1/4 (d) −2/8
  36. 36.Write −6/21 in standard form (lowest terms, positive denominator). (a) −6/21 (b) 2/7 (c) −7/2 (d) −2/7
  37. 37.What is (−1/2) + 1/4? (a) −3/4 (b) 0 (c) 1/4 (d) −1/4
  38. 38.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −35/45 (b) −9/7 (c) 7/9 (d) −7/9
  39. 39.Which is smaller: −1/7 or 2/5? (a) −1/7 (b) 2/5
  40. 40.What is (−2/9) + (−8/9)? (a) −10/9 (b) 10/9 (c) −5/9 (d) 2/3

Answer key

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

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