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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 90 · 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.Is −2/5 positive or negative? (a) Negative (b) Positive
  2. 2.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  3. 3.What is (−6/7) − (−5/6)? (a) −1/42 (b) −71/42 (c) 1/42 (d) −1/13
  4. 4.Is 7/7 positive or negative? (a) Negative (b) Positive
  5. 5.Is 5/4 positive or negative? (a) Negative (b) Positive
  6. 6.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −9/8 (d) −8/9
  7. 7.What is (−2/7) − 4/5? (a) 18/35 (b) −38/35 (c) −1/2 (d) 38/35
  8. 8.What is the additive inverse of −1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  9. 9.Write −20/36 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −20/36 (c) 5/9 (d) −9/5
  10. 10.What is (−3/4) − 3/7? (a) −6/11 (b) 33/28 (c) −33/28 (d) −9/28
  11. 11.Which is smaller: −4/9 or −6/7? (a) −4/9 (b) −6/7
  12. 12.Which is bigger: −1/2 or −5/6? (a) −5/6 (b) −1/2
  13. 13.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  14. 14.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  15. 15.What is the additive inverse of 3/8? (a) 3/8 (b) 8/3 (c) −3/8 (d) −8/3
  16. 16.Which is bigger: −5/8 or 1/5? (a) −5/8 (b) 1/5
  17. 17.Which is bigger: −1/4 or 1/8? (a) 1/8 (b) −1/4
  18. 18.Which is bigger: −1/8 or −1/2? (a) −1/2 (b) −1/8
  19. 19.Which is bigger: −3/8 or 1/5? (a) −3/8 (b) 1/5
  20. 20.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −2/10
  21. 21.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  22. 22.What is 1/5 − (−1/3)? (a) −8/15 (b) 8/15 (c) 1/4 (d) −2/15
  23. 23.What is (−5/7) + 1/3? (a) −8/21 (b) −22/21 (c) −2/5 (d) 8/21
  24. 24.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−6/7) + (−2/9)? (a) 68/63 (b) −68/63 (c) −1/2 (d) −40/63
  26. 26.Which is smaller: −2/5 or 6/7? (a) −2/5 (b) 6/7
  27. 27.What is 1/4 − (−4/7)? (a) 23/28 (b) −23/28 (c) 5/11 (d) −9/28
  28. 28.What is (−5/7) + 3/7? (a) −8/7 (b) −1/7 (c) −2/7 (d) 2/7
  29. 29.What is 3/8 + (−8/9)? (a) 37/72 (b) −37/72 (c) −5/17 (d) 91/72
  30. 30.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  31. 31.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  32. 32.Which is smaller: −2/5 or −1/5? (a) −1/5 (b) −2/5
  33. 33.What is (−1/3) − 5/9? (a) −1/2 (b) 8/9 (c) 2/9 (d) −8/9
  34. 34.What is (−1/9) − 4/9? (a) −5/9 (b) 5/9 (c) −5/18 (d) 1/3
  35. 35.What is (−5/9) − 3/4? (a) −47/36 (b) −8/13 (c) 47/36 (d) 7/36
  36. 36.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  37. 37.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  38. 38.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) 2/3 (d) −2/3
  39. 39.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −6/14 (b) −3/7 (c) 3/7 (d) −7/3
  40. 40.What is (−5/7) − 4/9? (a) 73/63 (b) −17/63 (c) −73/63 (d) −9/16

Answer key

  1. Negative
  2. Negative
  3. −1/42
  4. Positive
  5. Positive
  6. −8/9
  7. −38/35
  8. 1/7
  9. −5/9
  10. −33/28
  11. −6/7
  12. −1/2
  13. −7/4
  14. Negative
  15. −3/8
  16. 1/5
  17. 1/8
  18. −1/8
  19. 1/5
  20. −1/5
  21. 9
  22. 8/15
  23. −8/21
  24. Negative
  25. −68/63
  26. −2/5
  27. 23/28
  28. −2/7
  29. −37/72
  30. −7/3
  31. 4/3
  32. −2/5
  33. −8/9
  34. −5/9
  35. −47/36
  36. Negative
  37. Negative
  38. −2/3
  39. −3/7
  40. −73/63

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