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.\bar{3}).
• the quotient is 6.3.

Explanation:

Perform long division of 285 by 45

Using the Long Division Steps knowledge point

$$
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$$

Convert the remainder to a decimal

Using the Decimal Division knowledge point

$$
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$$

Identify the decimal type and quotient

Using the Repeating Decimals knowledge point

$$
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$$

The quotient is a repeating decimal, and it is equal to \(6.\bar{3}\). Since there is a remainder of 15, 45 does not divide 285 evenly.

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.