NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions

Question 49

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.