Question

which statement explains thans error?

than did not multiply 0.6 and 38 correctly.
than did not use 0.06 for 6 percent.
than did not move the decimal point three places to the left in the answer.
than did not use 6 for 6 percent.

Explanation:

Identify the mathematical context

The question asks to identify the error made by Than. The options mention calculating \(6\%\) of \(38\).

Analyze percent conversion

To find a percentage of a quantity, we convert the percentage to a decimal.
Using the Percentage of a Quantity concept:

$$ 6\% = \frac{6}{100} = 0.06 $$

Evaluate the options

If Than used \(0.6\) instead of \(0.06\), he calculated \(60\%\) instead of \(6\%\).
Therefore, Than's error is that he did not use \(0.06\) for \(6\) percent.

Answer:

• Than did not multiply 0.6 and 38 correctly.
• Than did not use 0.06 for 6 percent. (Correct answer)
• Than did not move the decimal point three places to the left in the answer.
• Than did not use 6 for 6 percent.