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add. \\begin{array}{r} 53.74 \\\\ +\\ \\ \\ 0.4 \\\\ \\hline \\end{arra…

Question

add.
\

$$\begin{array}{r} 53.74 \\\\ +\\ \\ \\ 0.4 \\\\ \\hline \\end{array}$$

Explanation:

Step1: Align decimal points

To add decimals, we first align the decimal points. So we can rewrite \(0.4\) as \(0.40\) to make the number of decimal places the same. Now the problem becomes:
\[

$$\begin{align*} &\ \ 53.74\\ +&\ \ \ 0.40\\ \hline \end{align*}$$

\]

Step2: Add the numbers column by column

  • Add the hundredths place: \(4 + 0 = 4\)
  • Add the tenths place: \(7 + 4 = 11\). We write down \(1\) in the tenths place and carry over \(1\) to the ones place.
  • Add the ones place: \(3 + 0 + 1 = 4\) (the \(1\) is the carry - over)
  • Add the tens place: \(5+0 = 5\)

Putting it all together, we get:
\[

$$\begin{align*} &\ \ 53.74\\ +&\ \ \ 0.40\\ \hline &\ \ 54.14\\ \end{align*}$$

\]

Answer:

\(54.14\)