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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 452 · 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 5/6? (a) −5/6 (b) 5/6 (c) −6/5 (d) 6/5
  2. 2.What is the additive inverse of −1/2? (a) −2 (b) −1/2 (c) 1/2 (d) 2
  3. 3.Is 3/9 positive or negative? (a) Positive (b) Negative
  4. 4.What is the additive inverse of −5/7? (a) −5/7 (b) 7/5 (c) 5/7 (d) −7/5
  5. 5.Which is smaller: −1/7 or −8/9? (a) −1/7 (b) −8/9
  6. 6.What is (−7/9) − 3/7? (a) −76/63 (b) 76/63 (c) −5/8 (d) −22/63
  7. 7.What is (−8/9) + (−7/9)? (a) −5/3 (b) −1/9 (c) −5/6 (d) 5/3
  8. 8.What is (−1/6) + (−2/5)? (a) −3/11 (b) 7/30 (c) 17/30 (d) −17/30
  9. 9.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) −7/4 (c) 4/7 (d) −4/7
  10. 10.Which is bigger: −5/9 or −4/9? (a) −4/9 (b) −5/9
  11. 11.Which is bigger: −4/9 or 1/8? (a) 1/8 (b) −4/9
  12. 12.Which is bigger: −1/3 or −7/8? (a) −7/8 (b) −1/3
  13. 13.What is 5/9 − (−3/4)? (a) −7/36 (b) 8/13 (c) 47/36 (d) −47/36
  14. 14.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −10/25 (c) −2/5 (d) −5/2
  15. 15.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  16. 16.Which is bigger: −1/5 or 7/8? (a) −1/5 (b) 7/8
  17. 17.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −20/25 (d) −5/4
  18. 18.What is (−2/9) + (−5/8)? (a) −7/17 (b) 29/72 (c) −61/72 (d) 61/72
  19. 19.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  20. 20.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  21. 21.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −8/14 (b) 4/7 (c) −4/7 (d) −7/4
  22. 22.What is 3/7 − (−3/4)? (a) −33/28 (b) 6/11 (c) 33/28 (d) −9/28
  23. 23.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −10/12 (d) −6/5
  24. 24.Which is smaller: −5/6 or 1/6? (a) 1/6 (b) −5/6
  25. 25.Is −8/(−6) positive or negative? (a) Negative (b) Positive
  26. 26.What is 1/5 + (−1/3)? (a) −2/15 (b) 0 (c) 8/15 (d) 2/15
  27. 27.Which is bigger: −7/8 or 2/5? (a) 2/5 (b) −7/8
  28. 28.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/9 (b) 1/3 (c) −1/3 (d) −3/1
  29. 29.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  30. 30.Which is smaller: −1/7 or −1/9? (a) −1/9 (b) −1/7
  31. 31.What is 2/9 + (−5/8)? (a) 61/72 (b) −3/17 (c) −29/72 (d) 29/72
  32. 32.What is the additive inverse of −7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  33. 33.Which is bigger: −1/3 or −1/2? (a) −1/3 (b) −1/2
  34. 34.Which is smaller: −4/9 or 1/3? (a) 1/3 (b) −4/9
  35. 35.Write −8/14 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −8/14 (c) 4/7 (d) −7/4
  36. 36.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  37. 37.Is 1/(−6) positive or negative? (a) Positive (b) Negative
  38. 38.Is 8/7 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−5/8) − (−4/5)? (a) −7/40 (b) −57/40 (c) 7/40 (d) −1/13
  40. 40.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5

Answer key

  1. 6/5
  2. 1/2
  3. Positive
  4. 5/7
  5. −8/9
  6. −76/63
  7. −5/3
  8. −17/30
  9. −4/7
  10. −4/9
  11. 1/8
  12. −1/3
  13. 47/36
  14. −2/5
  15. 3/8
  16. 7/8
  17. −4/5
  18. −61/72
  19. 7/6
  20. −6
  21. −4/7
  22. 33/28
  23. −5/6
  24. −5/6
  25. Positive
  26. −2/15
  27. 2/5
  28. −1/3
  29. 5/2
  30. −1/7
  31. −29/72
  32. 7/9
  33. −1/3
  34. −4/9
  35. −4/7
  36. −3/2
  37. Negative
  38. Positive
  39. 7/40
  40. 9/5

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