Let's verify that multiplication.
To multiply the decimals \(3.55\) and \(4.82\):
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First, ignore the decimals and multiply as if they were whole numbers: \[ 355 \times 482. \]
Calculating this: \[ 355 \times 482 = 171010. \]
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Now, count the total number of decimal places in the original numbers.
- \(3.55\) has 2 decimal places.
- \(4.82\) has 2 decimal places.
- So, the total number of decimal places is \(2 + 2 = 4\).
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Place the decimal point in the product \(171010\) to have 4 decimal places: \[ 171010 \rightarrow 17.1010. \]
Thus, when you multiply \(3.55\) by \(4.82\), the correct result is \(17.1010\), which is usually written as \(17.101\).
Your result of \(17.111\) is incorrect. The correct answer is \(17.101\).