85764 rounded off to nearest hundreds is 85700.
Rounding to the nearest hundred (step by step)
Step 1: Write the number: \(85,764\).
Step 2: Find the hundreds digit. In \(85,764\), the hundreds digit is \(7\).
Step 3: Look at the tens digit (the next digit to the right). The tens digit is \(6\).
Step 4 (Rounding rule): If the tens digit is \(\ge 5\), add \(1\) to the hundreds digit. If it is \(< 5\), keep the hundreds digit the same.
Here, tens digit \(= 6\), and \(6 \ge 5\).
Step 5: Increase the hundreds digit: \(7 + 1 = 8\).
Step 6: Keep the digits before the hundreds place the same (\(85\)), change the hundreds digit to \(8\), and make tens and ones \(0\).
So the rounded number is \(85,800\).
Conclusion: The statement says \(85,700\), but the correct rounding is \(85,800\). Therefore, the statement is false.