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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 888 · 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.Which is bigger: −1/2 or −7/9? (a) −1/2 (b) −7/9
  2. 2.What is (−7/8) + 2/3? (a) −37/24 (b) 5/24 (c) −5/11 (d) −5/24
  3. 3.Is 7/2 positive or negative? (a) Positive (b) Negative
  4. 4.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −4/20 (b) 1/5 (c) −1/5 (d) −5/1
  5. 5.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) 5/7 (d) −10/14
  6. 6.What is (−2/7) + 4/5? (a) −18/35 (b) 1/6 (c) 18/35 (d) −38/35
  7. 7.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  8. 8.What is (−2/9) − (−5/9)? (a) 1/3 (b) −7/9 (c) 1/6 (d) −1/3
  9. 9.Which is smaller: −8/9 or 1/6? (a) −8/9 (b) 1/6
  10. 10.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −5/15 (c) 1/3 (d) −3/1
  11. 11.What is (−3/5) − 1/7? (a) −16/35 (b) −1/3 (c) −26/35 (d) 26/35
  12. 12.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −4/9 (d) −20/45
  13. 13.Which is bigger: −4/5 or −7/8? (a) −4/5 (b) −7/8
  14. 14.What is 8/9 − (−8/9)? (a) −16/9 (b) 16/9 (c) 0 (d) 8/9
  15. 15.What is (−4/7) + (−3/4)? (a) 5/28 (b) −7/11 (c) 37/28 (d) −37/28
  16. 16.Which is bigger: −5/8 or −1/3? (a) −5/8 (b) −1/3
  17. 17.What is (−2/5) + (−3/7)? (a) 29/35 (b) −29/35 (c) −5/12 (d) 1/35
  18. 18.Which is bigger: −1/8 or −1/4? (a) −1/8 (b) −1/4
  19. 19.What is 3/7 − (−4/9)? (a) −55/63 (b) 55/63 (c) 7/16 (d) −1/63
  20. 20.Is −5/(−7) positive or negative? (a) Positive (b) Negative
  21. 21.What is 1/9 − (−5/9)? (a) 1/3 (b) 2/3 (c) −4/9 (d) −2/3
  22. 22.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −6/30 (b) −1/5 (c) 1/5 (d) −5/1
  23. 23.What is (−1/9) + 5/8? (a) 37/72 (b) −53/72 (c) 4/17 (d) −37/72
  24. 24.What is 7/8 + (−1/3)? (a) 6/11 (b) 13/24 (c) 29/24 (d) −13/24
  25. 25.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  26. 26.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  27. 27.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −6/27
  28. 28.Which is bigger: −1/3 or 3/4? (a) 3/4 (b) −1/3
  29. 29.Which is smaller: −4/7 or 5/6? (a) 5/6 (b) −4/7
  30. 30.Which is bigger: −6/7 or 5/7? (a) 5/7 (b) −6/7
  31. 31.Which is smaller: −2/3 or 4/5? (a) −2/3 (b) 4/5
  32. 32.What is the additive inverse of −2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  33. 33.What is 3/5 + (−3/7)? (a) 0 (b) −6/35 (c) 6/35 (d) 36/35
  34. 34.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  35. 35.Is 2/2 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−4/9) + (−3/8)? (a) 59/72 (b) −7/17 (c) −59/72 (d) −5/72
  37. 37.Is 8/9 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−7/9) + 1/8? (a) −47/72 (b) 47/72 (c) −65/72 (d) −6/17
  39. 39.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −8/14
  40. 40.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2

Answer key

  1. −1/2
  2. −5/24
  3. Positive
  4. −1/5
  5. −5/7
  6. 18/35
  7. Negative
  8. 1/3
  9. −8/9
  10. −1/3
  11. −26/35
  12. −4/9
  13. −4/5
  14. 16/9
  15. −37/28
  16. −1/3
  17. −29/35
  18. −1/8
  19. 55/63
  20. Positive
  21. 2/3
  22. −1/5
  23. 37/72
  24. 13/24
  25. 6
  26. Negative
  27. −2/9
  28. 3/4
  29. −4/7
  30. 5/7
  31. −2/3
  32. 2/3
  33. 6/35
  34. Negative
  35. Positive
  36. −59/72
  37. Positive
  38. −47/72
  39. −4/7
  40. −2

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