Question: Homework 5.2: Adding and Subtracting Decimals
Add: $6.088 + 11.526$
1. **State the problem:** We need to add the decimals $6.088$ and $11.526$.
2. **Recall the rule for adding decimals:** Align the decimal points and add each column starting from the right.
3. **Write the numbers aligned by decimal point:**
$$\begin{array}{r}
6.088 \\
+11.526 \\
\hline
\end{array}$$
4. **Add the digits column by column:**
- Thousandths place: $8 + 6 = 14$, write $4$ carry $1$
- Hundredths place: $8 + 2 = 10$, plus carry $1$ makes $11$, write $1$ carry $1$
- Tenths place: $0 + 5 = 5$, plus carry $1$ makes $6$
- Units and tens place: $6 + 11 = 17$
5. **Combine the results:**
$$6.088 + 11.526 = 17.614$$
6. **Final answer:** The sum of $6.088$ and $11.526$ is $17.614$.