Calculabe by first estimating the nswer \( 1049+892 \)

Sure, let's calculate \( 1049 + 892 \) by first estimating the answer and then finding the exact sum. ### 1. Estimating the Sum **Step 1:** **Round Each Number** - **1049** is close to **1000**. - **892** is close to **900**. **Step 2:** **Add the Rounded Numbers** \[ 1000 + 900 = 1900 \] *Estimated Sum:* **1900** ### 2. Calculating the Exact Sum Now, let's add the original numbers without rounding: \[ \begin{align*} & \ \ 1049 \\ + & \ \ 892 \\ \hline & \ \ 1941 \\ \end{align*} \] *Exact Sum:* **1941** ### 3. Summary - **Estimated Sum:** 1900 - **Exact Sum:** 1941 The estimation helps you quickly gauge what the sum should be, and then you can calculate the exact total for precision.