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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 965 · 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 (−3/7) − 1/3? (a) −2/5 (b) 16/21 (c) −2/21 (d) −16/21
  2. 2.Which is smaller: −7/9 or −3/8? (a) −7/9 (b) −3/8
  3. 3.What is (−5/7) + (−2/7)? (a) −3/7 (b) −1/2 (c) 1 (d) −1
  4. 4.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −6/18 (d) −3/1
  5. 5.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) 8/7 (c) −7/8 (d) −8/7
  6. 6.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  7. 7.What is 7/9 − (−6/7)? (a) −5/63 (b) 13/16 (c) 103/63 (d) −103/63
  8. 8.What is the additive inverse of −5/7? (a) 7/5 (b) −5/7 (c) 5/7 (d) −7/5
  9. 9.What is the additive inverse of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  10. 10.Is 7/(−5) positive or negative? (a) Positive (b) Negative
  11. 11.Is 4/6 positive or negative? (a) Negative (b) Positive
  12. 12.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  13. 13.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  14. 14.What is (−3/7) − 8/9? (a) −83/63 (b) −11/16 (c) 83/63 (d) 29/63
  15. 15.Which is smaller: −4/5 or 2/3? (a) 2/3 (b) −4/5
  16. 16.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  17. 17.Is −5/3 positive or negative? (a) Negative (b) Positive
  18. 18.Is −8/3 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−2/3) − 2/7? (a) −20/21 (b) −2/5 (c) 20/21 (d) −8/21
  20. 20.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −3/6 (b) −2/1 (c) −1/2 (d) 1/2
  21. 21.Which is smaller: −3/5 or −4/7? (a) −4/7 (b) −3/5
  22. 22.What is (−3/4) + 3/7? (a) 9/28 (b) 0 (c) −9/28 (d) −33/28
  23. 23.Is 7/(−9) positive or negative? (a) Negative (b) Positive
  24. 24.Is −9/6 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −1/4 or 1/8? (a) 1/8 (b) −1/4
  26. 26.What is (−1/4) + 2/3? (a) 1/7 (b) −5/12 (c) 5/12 (d) −11/12
  27. 27.What is (−4/9) − 7/9? (a) −11/9 (b) 11/9 (c) 1/3 (d) −11/18
  28. 28.Which is bigger: −4/7 or −4/5? (a) −4/7 (b) −4/5
  29. 29.Which is bigger: −4/5 or 3/5? (a) −4/5 (b) 3/5
  30. 30.What is (−3/7) − (−1/4)? (a) −5/28 (b) −2/11 (c) 5/28 (d) −19/28
  31. 31.Write −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −20/28
  32. 32.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) −9/8 (c) −8/9 (d) 8/9
  33. 33.What is (−3/5) + (−1/7)? (a) −26/35 (b) −16/35 (c) 26/35 (d) −1/3
  34. 34.Which is bigger: −4/9 or −6/7? (a) −4/9 (b) −6/7
  35. 35.Is −7/2 positive or negative? (a) Negative (b) Positive
  36. 36.Is 4/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.What is (−2/7) − (−4/9)? (a) −46/63 (b) −10/63 (c) 1/8 (d) 10/63
  38. 38.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −35/40 (b) −7/8 (c) 7/8 (d) −8/7
  39. 39.What is (−5/7) + 4/7? (a) −9/7 (b) −1/7 (c) 1/7 (d) −1/14
  40. 40.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) 4 (c) 1/4 (d) −4

Answer key

  1. −16/21
  2. −7/9
  3. −1
  4. −1/3
  5. 8/7
  6. −1/3
  7. 103/63
  8. 5/7
  9. 7/8
  10. Negative
  11. Positive
  12. Negative
  13. −6
  14. −83/63
  15. −4/5
  16. −8/7
  17. Negative
  18. Negative
  19. −20/21
  20. −1/2
  21. −3/5
  22. −9/28
  23. Negative
  24. Negative
  25. 1/8
  26. 5/12
  27. −11/9
  28. −4/7
  29. 3/5
  30. −5/28
  31. −5/7
  32. −8/9
  33. −26/35
  34. −4/9
  35. Negative
  36. Negative
  37. 10/63
  38. −7/8
  39. −1/7
  40. 4

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