Question

ese numbers.
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$$\begin{array}{r} 0.839 \\\\ \\times\\ \\ \\ \\ \\ \\ \\ 5.3 \\\\ \\hline \\end{array}$$

u enter your answer press go.

Explanation:

Step1: Multiply by the decimal part (0.3)

First, multiply \(0.839\) by \(0.3\).
\(0.839\times0.3 = 0.2517\)

Step2: Multiply by the whole number part (5)

Next, multiply \(0.839\) by \(5\).
\(0.839\times5 = 4.195\)

Step3: Adjust the decimal places and add

Since \(5.3 = 5 + 0.3\), we need to account for the decimal place in \(5.3\) (one decimal place). So we shift the result of \(0.839\times5\) one decimal place to the left (equivalent to multiplying by \(10\) and then dividing by \(10\), but easier to just add the two results with proper alignment). Wait, actually, the correct way is to multiply as if they are whole numbers: \(839\times53\), then place the decimal.

Let's do it that way:
\(839\times53\):
First, \(839\times3 = 2517\)
Then, \(839\times50 = 41950\)
Add them: \(2517 + 41950 = 44467\)

Now, count the total decimal places in the original numbers: \(0.839\) has 3 decimal places, \(5.3\) has 1 decimal place, so total \(3 + 1 = 4\) decimal places.

So we place the decimal in \(44467\) to have 4 decimal places: \(4.4467\)

Answer:

\(4.4467\)