To solve the given problem, we need to round each number to the nearest hundred first, and then estimate the sum with the rounded numbers. Here are the steps to solve this problem:
Step 1: Round each number to the nearest hundred
1. Consider the number 626:
- To round 626 to the nearest hundred, look at the tens digit, which is 2.
- Since 2 is less than 5, you round down. Hence, 626 rounded to the nearest hundred is 600.
2. Consider the number 253:
- To round 253 to the nearest hundred, look at the tens digit, which is 5.
- Since 5 is equal to or greater than 5, you round up. Hence, 253 rounded to the nearest hundred is 300.
Step 2: Estimate the sum of the rounded numbers
3. Now, we add the rounded numbers:
- [tex]\( 600 + 300 = 900 \)[/tex]
So, the rounded numbers are 600 and 300, and their estimated sum is 900. Therefore, the final result can be written as:
[tex]\[
\begin{array}{r}
\text{626} + \text{253} \\
600 + 300 = 900
\end{array}
\][/tex]
