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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 987 · 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 (−3/8) − 1/2? (a) 1/8 (b) −7/8 (c) −2/5 (d) 7/8
  2. 2.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −2/3 or 1/4? (a) −2/3 (b) 1/4
  4. 4.Write −14/18 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −14/18
  5. 5.What is (−2/7) + (−3/4)? (a) −5/11 (b) 13/28 (c) −29/28 (d) 29/28
  6. 6.What is (−7/8) + (−5/6)? (a) −6/7 (b) 41/24 (c) −41/24 (d) −1/24
  7. 7.Which is bigger: −5/6 or −2/9? (a) −2/9 (b) −5/6
  8. 8.Is 8/5 positive or negative? (a) Positive (b) Negative
  9. 9.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) −1/4 (c) 1/4 (d) −4
  10. 10.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) 1/5 (c) −1/5 (d) −5/1
  11. 11.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −8/9 (c) −9/8 (d) 8/9
  12. 12.What is the additive inverse of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  13. 13.What is (−2/9) − 8/9? (a) −5/9 (b) 10/9 (c) −10/9 (d) 2/3
  14. 14.What is 8/9 − (−5/7)? (a) 13/16 (b) 101/63 (c) 11/63 (d) −101/63
  15. 15.Which is smaller: −2/3 or −2/7? (a) −2/3 (b) −2/7
  16. 16.What is 2/7 + (−1/2)? (a) 1/9 (b) −3/14 (c) 3/14 (d) 11/14
  17. 17.Which is smaller: −2/5 or −4/7? (a) −2/5 (b) −4/7
  18. 18.What is (−4/9) + 5/6? (a) 7/18 (b) −23/18 (c) −7/18 (d) 1/15
  19. 19.Is −4/8 positive or negative? (a) Positive (b) Negative
  20. 20.Write −12/20 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) 3/5 (d) −12/20
  21. 21.Which is smaller: −8/9 or −5/8? (a) −8/9 (b) −5/8
  22. 22.Which is smaller: −1/4 or −1/8? (a) −1/8 (b) −1/4
  23. 23.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −48/54
  24. 24.Is −5/(−7) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−2/9) − (−1/3)? (a) −1/9 (b) −5/9 (c) 1/9 (d) −1/12
  26. 26.Is 1/8 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−1/6) − 3/5? (a) 23/30 (b) 13/30 (c) −4/11 (d) −23/30
  28. 28.Which is smaller: −7/8 or −3/5? (a) −3/5 (b) −7/8
  29. 29.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  30. 30.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −20/28 (c) −5/7 (d) −7/5
  31. 31.What is (−1/3) − 4/5? (a) 17/15 (b) 7/15 (c) −17/15 (d) −5/8
  32. 32.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −20/36 (d) −5/9
  33. 33.Is −5/6 positive or negative? (a) Positive (b) Negative
  34. 34.What is 2/3 − (−5/9)? (a) 1/9 (b) −11/9 (c) 7/12 (d) 11/9
  35. 35.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −10/25 (c) 2/5 (d) −2/5
  36. 36.What is the additive inverse of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  37. 37.Which is smaller: −1/4 or 3/4? (a) −1/4 (b) 3/4
  38. 38.Is 9/9 positive or negative? (a) Negative (b) Positive
  39. 39.Which is smaller: −7/9 or 1/3? (a) 1/3 (b) −7/9
  40. 40.Is −2/(−9) positive or negative? (a) Positive (b) Negative

Answer key

  1. −7/8
  2. Positive
  3. 1/4
  4. −7/9
  5. −29/28
  6. −41/24
  7. −2/9
  8. Positive
  9. −4
  10. −1/5
  11. −9/8
  12. −1/5
  13. −10/9
  14. 101/63
  15. −2/3
  16. −3/14
  17. −4/7
  18. 7/18
  19. Negative
  20. −3/5
  21. −8/9
  22. −1/4
  23. −8/9
  24. Positive
  25. 1/9
  26. Positive
  27. −23/30
  28. −7/8
  29. 5/4
  30. −5/7
  31. −17/15
  32. −5/9
  33. Negative
  34. 11/9
  35. −2/5
  36. −1/8
  37. −1/4
  38. Positive
  39. −7/9
  40. Positive

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