Question

callie evaluated the expression \\(0.42 \times 4.73\\) using the steps shown below.

\\
\

$$\begin{array}{r} 0.42 \\\\ \\times 4.73 \\\\ \\hline 1.26 \\\\ 29.40 \\\\ +168.00 \\\\ \\hline 198.66 \\end{array}$$

\\

which best explains callies error?

• callie incorrectly placed the decimal.
• callie multiplied incorrectly.
• callie added incorrectly.
• callie incorrectly used placeholder zeros.

Explanation:

Analyze the multiplication steps

Using the Decimal Multiplication knowledge point

$$
LATEXBLOCK0
$$

Check the decimal placement

Using the Decimal Places knowledge point

$$
LATEXBLOCK1
$$

Verify with estimation

Using the Estimation knowledge point

$$
LATEXBLOCK2
$$

Answer:

• Callie incorrectly placed the decimal. (Correct answer)
• Callie multiplied incorrectly.
• Callie added incorrectly.
• Callie incorrectly used placeholder zeros.