Question

find the value of 0.137 + 0.284. explain your reasoning

Explanation:

Step1: Align decimal points

Write the numbers vertically with decimal points aligned:

$$\begin{align*} &0.137\\ +&0.284\\ \hline \end{align*}$$

Step2: Add column by column

Start from the rightmost column (thousandths place): \(7 + 4 = 11\), write down 1 and carry over 1 to the hundredths place.
Hundredths place: \(3 + 8 + 1 = 12\), write down 2 and carry over 1 to the tenths place.
Tenths place: \(1 + 2 + 1 = 4\).
Ones place: \(0 + 0 = 0\).
So the sum is:

$$\begin{align*} &0.137\\ +&0.284\\ \hline &0.421\\ \end{align*}$$

Answer:

\(0.421\)