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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 312 · 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 20/(−45) in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −20/45 (d) −4/9
  2. 2.Write −6/18 in standard form (lowest terms, positive denominator). (a) −6/18 (b) −3/1 (c) −1/3 (d) 1/3
  3. 3.What is 5/8 + (−1/3)? (a) 23/24 (b) 4/11 (c) −7/24 (d) 7/24
  4. 4.What is (−1/5) + (−2/9)? (a) 19/45 (b) 1/45 (c) −3/14 (d) −19/45
  5. 5.What is (−3/8) + (−7/9)? (a) 29/72 (b) −10/17 (c) 83/72 (d) −83/72
  6. 6.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  8. 8.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −1/3 (c) −3 (d) 3
  9. 9.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  10. 10.Which is smaller: −3/8 or −1/2? (a) −3/8 (b) −1/2
  11. 11.What is (−5/8) − 5/7? (a) 5/56 (b) 75/56 (c) −75/56 (d) −2/3
  12. 12.Which is bigger: −7/9 or −3/4? (a) −3/4 (b) −7/9
  13. 13.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −2/6 (d) −3/1
  14. 14.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  15. 15.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  16. 16.What is the additive inverse of 4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  17. 17.What is (−5/6) + (−6/7)? (a) −71/42 (b) 71/42 (c) −11/13 (d) 1/42
  18. 18.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  19. 19.What is (−1/3) + 6/7? (a) −11/21 (b) 1/2 (c) −25/21 (d) 11/21
  20. 20.Which is smaller: −2/5 or 1/3? (a) −2/5 (b) 1/3
  21. 21.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −24/42 (c) 4/7 (d) −4/7
  22. 22.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −18/24 (d) −3/4
  23. 23.Which is bigger: −1/5 or −5/7? (a) −5/7 (b) −1/5
  24. 24.Is 3/8 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −3/5 or −2/9? (a) −3/5 (b) −2/9
  26. 26.What is (−1/4) + (−1/3)? (a) −2/7 (b) 1/12 (c) 7/12 (d) −7/12
  27. 27.Which is smaller: −1/3 or −2/7? (a) −1/3 (b) −2/7
  28. 28.What is the additive inverse of 1/7? (a) 1/7 (b) −7 (c) 7 (d) −1/7
  29. 29.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  30. 30.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −6/21 (c) −7/2 (d) −2/7
  31. 31.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  32. 32.Is −3/2 positive or negative? (a) Negative (b) Positive
  33. 33.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  34. 34.What is 5/7 − (−7/9)? (a) 94/63 (b) 3/4 (c) −4/63 (d) −94/63
  35. 35.What is the additive inverse of 1/8? (a) −8 (b) −1/8 (c) 1/8 (d) 8
  36. 36.What is the additive inverse of 2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  37. 37.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −4/6 (c) −3/2 (d) 2/3
  38. 38.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  39. 39.Which is bigger: −1/2 or 4/7? (a) 4/7 (b) −1/2
  40. 40.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) 2/3 (c) −3/2 (d) −2/3

Answer key

  1. −4/9
  2. −1/3
  3. 7/24
  4. −19/45
  5. −83/72
  6. Negative
  7. −5/4
  8. −3
  9. Positive
  10. −1/2
  11. −75/56
  12. −3/4
  13. −1/3
  14. −6/5
  15. 5
  16. −4/7
  17. −71/42
  18. 9
  19. 11/21
  20. −2/5
  21. −4/7
  22. −3/4
  23. −1/5
  24. Positive
  25. −2/9
  26. −7/12
  27. −1/3
  28. −1/7
  29. −2
  30. −2/7
  31. Negative
  32. Negative
  33. Positive
  34. 94/63
  35. −1/8
  36. −2/7
  37. −2/3
  38. Negative
  39. 4/7
  40. −2/3

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