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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 451 · 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.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) 3/5 (d) −6/10
  2. 2.Which is bigger: −2/5 or 1/4? (a) 1/4 (b) −2/5
  3. 3.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  4. 4.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −4/10 (c) −5/2 (d) 2/5
  5. 5.Which is bigger: −5/6 or −4/7? (a) −4/7 (b) −5/6
  6. 6.What is (−1/7) + (−5/6)? (a) −6/13 (b) −41/42 (c) 29/42 (d) 41/42
  7. 7.What is (−4/9) + 4/7? (a) 8/63 (b) 0 (c) −64/63 (d) −8/63
  8. 8.Which is bigger: −5/6 or −5/8? (a) −5/6 (b) −5/8
  9. 9.What is 2/3 + (−5/7)? (a) −3/10 (b) −1/21 (c) 1/21 (d) 29/21
  10. 10.What is (−5/7) + 1/3? (a) −2/5 (b) 8/21 (c) −8/21 (d) −22/21
  11. 11.What is 4/9 + (−5/8)? (a) −13/72 (b) 13/72 (c) −1/17 (d) 77/72
  12. 12.What is (−7/8) + 8/9? (a) 1/72 (b) −127/72 (c) 1/17 (d) −1/72
  13. 13.Is 9/7 positive or negative? (a) Positive (b) Negative
  14. 14.Write −2/16 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −2/16 (d) −1/8
  15. 15.What is (−1/2) − 2/5? (a) −1/10 (b) −3/7 (c) −9/10 (d) 9/10
  16. 16.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  17. 17.Is 8/2 positive or negative? (a) Positive (b) Negative
  18. 18.Is 8/(−2) positive or negative? (a) Negative (b) Positive
  19. 19.Write −3/24 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −8/1 (d) −3/24
  20. 20.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−1/8) − 1/8? (a) 1/4 (b) −1/8 (c) −1/4 (d) 0
  22. 22.What is 4/7 + (−2/3)? (a) −2/21 (b) 2/21 (c) 26/21 (d) 1/5
  23. 23.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) −6/5 (c) 6/5 (d) −5/6
  24. 24.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −35/45 (d) −7/9
  25. 25.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  26. 26.Which is bigger: −1/7 or −3/4? (a) −1/7 (b) −3/4
  27. 27.Which is smaller: −1/8 or 1/3? (a) 1/3 (b) −1/8
  28. 28.What is the additive inverse of −1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  29. 29.What is (−2/9) + 3/5? (a) −17/45 (b) 1/14 (c) 17/45 (d) −37/45
  30. 30.What is (−7/8) − 2/9? (a) 79/72 (b) −79/72 (c) −9/17 (d) −47/72
  31. 31.What is 2/9 − (−3/7)? (a) −13/63 (b) −41/63 (c) 5/16 (d) 41/63
  32. 32.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  33. 33.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) −1/9 (c) −9 (d) 9
  34. 34.What is 3/4 + (−2/7)? (a) −13/28 (b) 29/28 (c) 1/11 (d) 13/28
  35. 35.Which is bigger: −7/9 or −7/8? (a) −7/9 (b) −7/8
  36. 36.Which is smaller: −2/3 or 1/5? (a) 1/5 (b) −2/3
  37. 37.Which is bigger: −5/9 or 5/6? (a) −5/9 (b) 5/6
  38. 38.Which is smaller: −5/6 or −6/7? (a) −6/7 (b) −5/6
  39. 39.Which is bigger: −2/3 or 3/4? (a) −2/3 (b) 3/4
  40. 40.What is (−2/3) − 4/9? (a) 10/9 (b) −1/2 (c) −2/9 (d) −10/9

Answer key

  1. −3/5
  2. 1/4
  3. −7/4
  4. −2/5
  5. −4/7
  6. −41/42
  7. 8/63
  8. −5/8
  9. −1/21
  10. −8/21
  11. −13/72
  12. 1/72
  13. Positive
  14. −1/8
  15. −9/10
  16. Negative
  17. Positive
  18. Negative
  19. −1/8
  20. Positive
  21. −1/4
  22. −2/21
  23. −6/5
  24. −7/9
  25. Negative
  26. −1/7
  27. −1/8
  28. 1/4
  29. 17/45
  30. −79/72
  31. 41/63
  32. 9/8
  33. −9
  34. 13/28
  35. −7/9
  36. −2/3
  37. 5/6
  38. −6/7
  39. 3/4
  40. −10/9

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