Estimated sum of 7826 and 12469 rounded off to hundreds is 20,000.
Step 1: Understand “rounded to hundreds”.
We change each number to the nearest number that ends with 00 (like 7,800; 12,500).
Step 2: Round 7826 to the nearest hundred.
Tens digit is \(2\).
\(2 < 5\Rightarrow\) round down.
\(7826 \approx 7800\) (to the nearest hundred).
Step 3: Round 12469 to the nearest hundred.
Tens digit is \(6\).
\(6 \ge 5\Rightarrow\) round up.
\(12469 \approx 12500\) (to the nearest hundred).
Step 4: Add the rounded numbers.
\(7800 + 12500 = 20300\).
Step 5: Check the statement.
The estimated sum is \(20300\), not \(20000\).
Therefore, the statement is false.