NCERT Exemplar Solutions Class 6 - Mathematics - Unit 1: Number System - Fill in the Blanks
Question 112
Question. 112
The population of Pune was 2,538,473 in 2001. Rounded off to nearest thousands, the population was ____.
Answer:
2,538,000
Detailed Answer with Explanation:
Write the number: \(2{,}538{,}473\).
We are rounding to the nearest thousands. The thousands place is the digit \(8\) in \(2{,}5\mathbf{38}{,}473\).
Look at the digit just to the right of the thousands place (the hundreds place). That digit is \(4\) in \(2{,}538,\mathbf{4}73\).
Rounding rule: • If the hundreds digit is \(0\)–\(4\), we round down (keep the thousands digit the same). • If it is \(5\)–\(9\), we round up.
Here, the hundreds digit is \(4\) (which is \(<5\)). So we round down.
Keep the part up to thousands the same: \(2{,}538\).
Change all digits to the right (hundreds, tens, ones) to \(0\): \(2{,}538{,}000\).
Answer: \(2{,}538{,}000\).
Quick check (optional): The two nearest thousand numbers are \(2{,}538{,}000\) and \(2{,}539{,}000\). Distances: • \(2{,}538{,}473 - 2{,}538{,}000 = 473\). • \(2{,}539{,}000 - 2{,}538{,}473 = 527\). Since \(473 < 527\), \(2{,}538{,}473\) is closer to \(2{,}538{,}000\).