Question

Multiplying Decimals: (3.55)(4.82) = 17.111

Answer 1

Let's verify that multiplication.

To multiply the decimals \(3.55\) and \(4.82\):

1. First, ignore the decimals and multiply as if they were whole numbers:
\[
355 \times 482.
\]

Calculating this:
\[
355 \times 482 = 171010.
\]

2. 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 \(2 + 2 = 4\).

3. 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 \(17.101\).