Place Value to 4,00,000 • Topic 2 of 3

Rounding to Nearest 10,000 and Nearest Lakh

Rounding makes large numbers easier to work with. We round to the nearest ten thousand or nearest lakh.

Rounding Rules:

  • Identify the place you are rounding to
  • Look at the digit immediately to its right
  • If that digit is 5 or more — Round Up (increase by 1)
  • If that digit is 4 or less — Round Down (keep same)
  • Replace all digits to the right of the target place with zeros

Memory tip: 5 or more, let it soar! 4 or less, let it rest!

Rounding Hill — Round to Nearest 10,0005 6 7 8 9ROUND UP0 1 2 3 4ROUND DOWNExample: 3,47,682 rounded to nearest 10,000 = 3,50,000
Solved Examples
1
Worked Example
Round 3,47,682 to the nearest 10,000.
SolutionThe ten-thousands digit is 4. Look at the thousands digit: 7. Since 7 >= 5, round up. The 4 becomes 5, all digits to its right become 0. Answer: 3,50,000.
2
Worked Example
Round 6,32,499 to the nearest lakh.
SolutionThe lakhs digit is 6. Look at the ten-thousands digit: 3. Since 3 < 5, round down. The 6 stays 6, all digits to its right become 0. Answer: 6,00,000.
3
Worked Example
Round 8,76,543 to nearest 10,000 and nearest lakh.
SolutionTo nearest 10,000: TTh digit is 7; next digit is 6 (>=5), round up — 8,80,000. To nearest lakh: L digit is 8; next digit is 7 (>=5), round up — 9,00,000.

Key Points

  • Rounding gives an approximate value that is easier to use
  • Always look one place to the RIGHT of the target place
  • 5 or more: round up (increase target digit by 1); 4 or less: keep same
  • All digits to the right of the target place become zero
Quick Check — 4 MCQs
Tap an option to check your answer0 / 4
Q1.To round, look at the digit to the ___ of the rounding place.
Explanation: The digit to the right.
Q2.If that digit is $5$ or more, you:
Explanation: Round up.
Q3.$47{,}000$ rounded to the nearest $10{,}000$ is:
Explanation: $50{,}000$.
Q4.$1{,}23{,}000$ rounded to the nearest lakh is:
Explanation: Nearest lakh is $1{,}00{,}000$.
Practice more MCQs → 📝 Assignment · 35 marks