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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 453 · 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 1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  2. 2.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  3. 3.What is 5/9 + (−1/6)? (a) −7/18 (b) 7/18 (c) 4/15 (d) 13/18
  4. 4.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) −7/3 (d) 7/3
  5. 5.Which is bigger: −3/4 or −3/7? (a) −3/7 (b) −3/4
  6. 6.What is 2/7 − (−2/5)? (a) −24/35 (b) 24/35 (c) 1/3 (d) −4/35
  7. 7.What is (−1/2) − 4/5? (a) −13/10 (b) −5/7 (c) 13/10 (d) 3/10
  8. 8.What is the additive inverse of −4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  9. 9.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −6/27 (c) −2/9 (d) −9/2
  10. 10.What is 1/2 − (−3/5)? (a) 11/10 (b) −11/10 (c) −1/10 (d) 4/7
  11. 11.What is (−3/8) + (−3/8)? (a) 3/4 (b) −3/8 (c) −3/4 (d) 0
  12. 12.What is 1/6 − (−4/5)? (a) −19/30 (b) 5/11 (c) −29/30 (d) 29/30
  13. 13.Which is smaller: −1/5 or −1/6? (a) −1/5 (b) −1/6
  14. 14.What is (−1/3) + 1/3? (a) −2/3 (b) 0
  15. 15.Which is bigger: −1/3 or −1/5? (a) −1/5 (b) −1/3
  16. 16.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −6/18
  17. 17.Is −8/5 positive or negative? (a) Negative (b) Positive
  18. 18.Which is smaller: −7/8 or −2/7? (a) −7/8 (b) −2/7
  19. 19.What is (−2/5) + 5/9? (a) −43/45 (b) −7/45 (c) 3/14 (d) 7/45
  20. 20.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  21. 21.What is (−6/7) + 5/9? (a) −19/63 (b) −1/16 (c) −89/63 (d) 19/63
  22. 22.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  23. 23.Is 2/5 positive or negative? (a) Positive (b) Negative
  24. 24.What is the additive inverse of −1/5? (a) 5 (b) −5 (c) −1/5 (d) 1/5
  25. 25.Is −5/(−5) positive or negative? (a) Positive (b) Negative
  26. 26.Is −7/(−6) positive or negative? (a) Negative (b) Positive
  27. 27.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −24/27 (d) 8/9
  28. 28.Which is smaller: −2/9 or −4/7? (a) −4/7 (b) −2/9
  29. 29.What is the additive inverse of 4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  30. 30.Which is smaller: −4/9 or 4/5? (a) 4/5 (b) −4/9
  31. 31.Which is bigger: −3/8 or 6/7? (a) −3/8 (b) 6/7
  32. 32.Is 2/2 positive or negative? (a) Positive (b) Negative
  33. 33.What is the additive inverse of −4/7? (a) −4/7 (b) −7/4 (c) 7/4 (d) 4/7
  34. 34.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −2/16 (c) −1/8 (d) 1/8
  35. 35.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) 1/9 (d) −4/36
  36. 36.What is 7/8 − (−2/7)? (a) −65/56 (b) 33/56 (c) 3/5 (d) 65/56
  37. 37.Write −6/18 in standard form (lowest terms, positive denominator). (a) −6/18 (b) −3/1 (c) −1/3 (d) 1/3
  38. 38.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−1/8) + 1/3? (a) −11/24 (b) 5/24 (c) 0 (d) −5/24
  40. 40.Which is smaller: −1/3 or 1/2? (a) −1/3 (b) 1/2

Answer key

  1. 4
  2. 3
  3. 7/18
  4. −7/3
  5. −3/7
  6. 24/35
  7. −13/10
  8. 4/5
  9. −2/9
  10. 11/10
  11. −3/4
  12. 29/30
  13. −1/5
  14. 0
  15. −1/5
  16. −1/3
  17. Negative
  18. −7/8
  19. 7/45
  20. −4
  21. −19/63
  22. 9/8
  23. Positive
  24. 1/5
  25. Positive
  26. Positive
  27. −8/9
  28. −4/7
  29. −4/9
  30. −4/9
  31. 6/7
  32. Positive
  33. 4/7
  34. −1/8
  35. −1/9
  36. 65/56
  37. −1/3
  38. Positive
  39. 5/24
  40. −1/3

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