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divide: \\(45 \\overline{) 285}\\) which is true about this division pr…

Question

divide:
\\(45 \overline{) 285}\\)

which is true about this division problem? select all that apply.

  • 45 goes into 285 evenly.
  • 45 does not go into 285 evenly.
  • the quotient contains a repeating decimal.
  • the quotient contains a terminating decimal.
  • the quotient is \\(6.\overline{3}\\).
  • the quotient is 6.3.

Explanation:

Perform the initial division

Using the Long Division Steps knowledge point

$$ LATEXBLOCK0 $$

Convert to a decimal quotient

Using the Decimal Division knowledge point

$$ LATEXBLOCK1 $$

Identify the properties of the quotient

Using the Repeating Decimals knowledge point

$$ LATEXBLOCK2 $$

Answer:

  • 45 goes into 285 evenly.
  • 45 does not go into 285 evenly. (Correct answer)
  • The quotient contains a repeating decimal. (Correct answer)
  • The quotient contains a terminating decimal.
  • The quotient is \(6.\bar{3}\). (Correct answer)
  • The quotient is 6.3.