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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 382 · 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 4/9? (a) 9/4 (b) −9/4 (c) −4/9 (d) 4/9
  2. 2.Which is bigger: −3/5 or 1/4? (a) 1/4 (b) −3/5
  3. 3.Which is bigger: −2/3 or −1/2? (a) −2/3 (b) −1/2
  4. 4.Which is bigger: −2/9 or −5/9? (a) −5/9 (b) −2/9
  5. 5.What is the additive inverse of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  6. 6.Is 8/(−6) positive or negative? (a) Positive (b) Negative
  7. 7.What is 7/8 − (−3/7)? (a) −73/56 (b) 2/3 (c) 25/56 (d) 73/56
  8. 8.What is (−2/5) − (−3/7)? (a) −1/35 (b) −29/35 (c) 1/35 (d) 1/12
  9. 9.Which is bigger: −3/5 or 8/9? (a) 8/9 (b) −3/5
  10. 10.What is 4/5 + (−6/7)? (a) −1/6 (b) 2/35 (c) 58/35 (d) −2/35
  11. 11.Which is bigger: −2/9 or −5/6? (a) −5/6 (b) −2/9
  12. 12.Which is bigger: −3/7 or −1/3? (a) −1/3 (b) −3/7
  13. 13.Is −9/4 positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  15. 15.What is the additive inverse of 1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  16. 16.Which is bigger: −1/3 or −5/6? (a) −5/6 (b) −1/3
  17. 17.What is (−3/4) + (−5/7)? (a) −1/28 (b) −41/28 (c) 41/28 (d) −8/11
  18. 18.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  19. 19.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  20. 20.What is (−4/7) − 1/3? (a) −5/21 (b) −19/21 (c) 19/21 (d) −1/2
  21. 21.What is 6/7 + (−2/7)? (a) 4/7 (b) 8/7 (c) −4/7 (d) 2/7
  22. 22.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) 6/7 (d) −12/14
  23. 23.What is (−2/3) + 3/5? (a) −1/15 (b) −19/15 (c) 1/8 (d) 1/15
  24. 24.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  25. 25.What is 4/7 − (−4/9)? (a) 8/63 (b) 64/63 (c) 1/2 (d) −64/63
  26. 26.What is (−6/7) − 1/5? (a) −23/35 (b) 37/35 (c) −37/35 (d) −7/12
  27. 27.What is 4/7 + (−2/5)? (a) 1/6 (b) −6/35 (c) 6/35 (d) 34/35
  28. 28.Write −6/54 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −6/54
  29. 29.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  30. 30.Which is bigger: −3/8 or −3/7? (a) −3/7 (b) −3/8
  31. 31.What is (−7/8) − 1/7? (a) −57/56 (b) 57/56 (c) −8/15 (d) −41/56
  32. 32.What is (−5/7) − 5/8? (a) 75/56 (b) −5/56 (c) −75/56 (d) −2/3
  33. 33.What is (−2/5) − 1/9? (a) −13/45 (b) 23/45 (c) −23/45 (d) −3/14
  34. 34.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  35. 35.What is (−2/3) + (−1/2)? (a) −7/6 (b) −1/6 (c) 7/6 (d) −3/5
  36. 36.Write −24/30 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −24/30
  37. 37.What is (−5/7) − (−2/7)? (a) 3/7 (b) −1 (c) −3/14 (d) −3/7
  38. 38.Which is bigger: −1/7 or −5/8? (a) −5/8 (b) −1/7
  39. 39.What is 1/8 − (−1/4)? (a) −3/8 (b) −1/8 (c) 3/8 (d) 1/6
  40. 40.Which is bigger: −1/4 or −6/7? (a) −1/4 (b) −6/7

Answer key

  1. −4/9
  2. 1/4
  3. −1/2
  4. −2/9
  5. 1/2
  6. Negative
  7. 73/56
  8. 1/35
  9. 8/9
  10. −2/35
  11. −2/9
  12. −1/3
  13. Negative
  14. 5/2
  15. −1/3
  16. −1/3
  17. −41/28
  18. −9
  19. Negative
  20. −19/21
  21. 4/7
  22. −6/7
  23. −1/15
  24. Negative
  25. 64/63
  26. −37/35
  27. 6/35
  28. −1/9
  29. −7/3
  30. −3/8
  31. −57/56
  32. −75/56
  33. −23/45
  34. 4
  35. −7/6
  36. −4/5
  37. −3/7
  38. −1/7
  39. 3/8
  40. −1/4

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