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Multiply. $4.11 \times 0.055$

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Multiply a decimal by a multi-digit whole number

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Q. Multiply.

4.11 \times 0.055

Identify expression: Identify the expression without decimals. $\newline$ In $4.11 \times 0.055$ , we can rewrite the numbers without decimals as $411$ and $55$ . $\newline$ Expression without decimal: $411 \times 55$
Multiply numbers: Multiply the numbers without considering the decimal places. $\newline$ Calculate the product of $411$ and $55$ . $\newline$ $411 \times 55 = 22605$ $\newline$ Product of $411$ and $55$ : $22605$
Determine decimal places: Determine the total number of decimal places in the original expression. $\newline$ $4.11$ has two decimal places. $\newline$ $0.055$ has three decimal places. $\newline$ Total decimal places: $2 + 3 = 5$
Apply decimal places: Apply the decimal places to the product. $\newline$ We know: $411 \times 55 = 22605$ $\newline$ Since the original expression has a total of $5$ decimal places, we need to move the decimal point $5$ places to the left in $22605$ . $\newline$ $0.22605$ is the product when the decimal is placed correctly. $\newline$ $4.11 \times 0.055 = 0.22605$

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