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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 527 · 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 smaller: −1/6 or −3/4? (a) −1/6 (b) −3/4
  2. 2.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −6/27 (d) −2/9
  3. 3.What is (−1/8) + (−4/7)? (a) −39/56 (b) 39/56 (c) 25/56 (d) −1/3
  4. 4.What is the additive inverse of −3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  5. 5.Which is smaller: −2/3 or −4/5? (a) −2/3 (b) −4/5
  6. 6.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −9/12 (d) −3/4
  7. 7.Which is smaller: −7/9 or −4/5? (a) −7/9 (b) −4/5
  8. 8.Is 3/2 positive or negative? (a) Positive (b) Negative
  9. 9.What is (−4/9) + (−2/5)? (a) −38/45 (b) −2/45 (c) 38/45 (d) −3/7
  10. 10.Which is smaller: −5/9 or −7/8? (a) −5/9 (b) −7/8
  11. 11.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −30/54 (b) −5/9 (c) −9/5 (d) 5/9
  12. 12.What is 7/9 + (−1/7)? (a) 58/63 (b) 40/63 (c) 3/8 (d) −40/63
  13. 13.Is −7/3 positive or negative? (a) Negative (b) Positive
  14. 14.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −3/12 (b) −4/1 (c) 1/4 (d) −1/4
  15. 15.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −20/25
  16. 16.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −7/9 (c) −9/7 (d) 9/7
  17. 17.Is 4/(−6) positive or negative? (a) Positive (b) Negative
  18. 18.Which is smaller: −7/9 or −3/7? (a) −7/9 (b) −3/7
  19. 19.What is the additive inverse of 5/8? (a) 8/5 (b) 5/8 (c) −5/8 (d) −8/5
  20. 20.Is −5/4 positive or negative? (a) Negative (b) Positive
  21. 21.Is 2/9 positive or negative? (a) Negative (b) Positive
  22. 22.What is the additive inverse of −5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  23. 23.Write −4/8 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −2/1 (d) −4/8
  24. 24.Which is smaller: −2/3 or −3/5? (a) −3/5 (b) −2/3
  25. 25.What is (−2/9) + (−3/8)? (a) −43/72 (b) 43/72 (c) 11/72 (d) −5/17
  26. 26.What is (−8/9) + 8/9? (a) −16/9 (b) 0
  27. 27.Is −7/9 positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −1/2 or −3/7? (a) −3/7 (b) −1/2
  29. 29.Which is bigger: −1/8 or 2/3? (a) −1/8 (b) 2/3
  30. 30.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −3/8 or 1/3? (a) −3/8 (b) 1/3
  32. 32.What is (−1/4) − (−5/7)? (a) −13/28 (b) −27/28 (c) 13/28 (d) 4/11
  33. 33.What is 1/4 + (−1/6)? (a) 0 (b) 5/12 (c) −1/12 (d) 1/12
  34. 34.Is 7/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.Is 8/6 positive or negative? (a) Negative (b) Positive
  36. 36.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −14/16 (d) −8/7
  37. 37.Write −5/25 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/1 (d) −5/25
  38. 38.What is the additive inverse of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  39. 39.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of 3/8? (a) −8/3 (b) 8/3 (c) 3/8 (d) −3/8

Answer key

  1. −3/4
  2. −2/9
  3. −39/56
  4. 3/4
  5. −4/5
  6. −3/4
  7. −4/5
  8. Positive
  9. −38/45
  10. −7/8
  11. −5/9
  12. 40/63
  13. Negative
  14. −1/4
  15. −4/5
  16. −9/7
  17. Negative
  18. −7/9
  19. −5/8
  20. Negative
  21. Positive
  22. 5/9
  23. −1/2
  24. −2/3
  25. −43/72
  26. 0
  27. Negative
  28. −3/7
  29. 2/3
  30. Positive
  31. 1/3
  32. 13/28
  33. 1/12
  34. Negative
  35. Positive
  36. −7/8
  37. −1/5
  38. 6/7
  39. Negative
  40. −3/8

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