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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 14 · 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 −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  2. 2.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  3. 3.Is 2/6 positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −5/8 or 5/9? (a) 5/9 (b) −5/8
  5. 5.Which is bigger: −2/7 or 1/5? (a) −2/7 (b) 1/5
  6. 6.What is 5/6 − (−2/5)? (a) 13/30 (b) 7/11 (c) 37/30 (d) −37/30
  7. 7.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  8. 8.What is (−4/7) − 3/5? (a) −7/12 (b) 41/35 (c) −41/35 (d) 1/35
  9. 9.Which is bigger: −3/4 or 1/2? (a) 1/2 (b) −3/4
  10. 10.Which is bigger: −1/4 or 4/5? (a) 4/5 (b) −1/4
  11. 11.What is (−5/6) − (−1/9)? (a) −17/18 (b) −4/15 (c) 13/18 (d) −13/18
  12. 12.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  13. 13.Write −12/21 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) −12/21 (d) 4/7
  14. 14.Is 3/(−3) positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  16. 16.What is 1/8 − (−3/8)? (a) −1/4 (b) 1/4 (c) 1/2 (d) −1/2
  17. 17.What is the additive inverse of −3/7? (a) −3/7 (b) 7/3 (c) 3/7 (d) −7/3
  18. 18.Write −18/48 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −18/48 (d) −8/3
  19. 19.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−2/5) + 1/9? (a) −13/45 (b) −1/14 (c) −23/45 (d) 13/45
  21. 21.What is the additive inverse of 2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  22. 22.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −12/14 (b) −7/6 (c) 6/7 (d) −6/7
  23. 23.What is (−1/2) − (−3/8)? (a) 1/8 (b) −1/8 (c) −7/8 (d) 1/5
  24. 24.What is (−2/9) − (−8/9)? (a) 2/3 (b) 1/3 (c) −10/9 (d) −2/3
  25. 25.What is 1/2 − (−1/5)? (a) −7/10 (b) 7/10 (c) 2/7 (d) 3/10
  26. 26.Is −2/8 positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −3/8 or −1/6? (a) −3/8 (b) −1/6
  28. 28.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) −9/1 (c) 1/9 (d) −1/9
  29. 29.Which is smaller: −3/5 or −2/9? (a) −2/9 (b) −3/5
  30. 30.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) 7/4 (c) −7/4 (d) 4/7
  31. 31.What is (−2/3) − (−3/8)? (a) −25/24 (b) 1/11 (c) −7/24 (d) 7/24
  32. 32.What is 8/9 + (−7/8)? (a) 127/72 (b) 1/17 (c) −1/72 (d) 1/72
  33. 33.Write −6/30 in standard form (lowest terms, positive denominator). (a) −6/30 (b) −5/1 (c) −1/5 (d) 1/5
  34. 34.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  35. 35.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  36. 36.Which is bigger: −1/2 or −7/9? (a) −1/2 (b) −7/9
  37. 37.What is the additive inverse of −2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  38. 38.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −12/15
  39. 39.What is (−2/9) + (−2/5)? (a) 28/45 (b) −2/7 (c) −28/45 (d) 8/45
  40. 40.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2

Answer key

  1. −2
  2. −7/5
  3. Positive
  4. −5/8
  5. 1/5
  6. 37/30
  7. −3
  8. −41/35
  9. 1/2
  10. 4/5
  11. −13/18
  12. −5
  13. −4/7
  14. Negative
  15. 4
  16. 1/2
  17. 3/7
  18. −3/8
  19. Positive
  20. −13/45
  21. −2/9
  22. −6/7
  23. −1/8
  24. 2/3
  25. 7/10
  26. Negative
  27. −1/6
  28. −1/9
  29. −3/5
  30. 7/4
  31. −7/24
  32. 1/72
  33. −1/5
  34. −4/3
  35. 3
  36. −1/2
  37. 2/3
  38. −4/5
  39. −28/45
  40. 2

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