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Round numbers to a specified place value

Rounding a whole number to a specified place value means replacing it with the nearest multiple of that place value, using the digit immediately to its right to determine whether the target digit stays the same or increases by one; a 5 or greater rounds up, and less than 5 rounds down, with all lesser-place digits becoming zero. This understanding applies to multi-digit whole numbers through the millions place, including exact halfway cases, and connects place-value structure to estimation and judging the reasonableness of calculations; decimal and negative-number rounding are beyond this scope.

Detailed Explanation: Round numbers to a specified place value

To round a whole number:

  1. Find the place value you are rounding to.
  2. Look at the digit immediately to its right.
  3. If that digit is 55 or greater, increase the target digit by 11.
  4. If that digit is less than 55, leave the target digit unchanged.
  5. Change all digits to the right of the target place to zeros.

Example: Round 48,76348{,}763 to the nearest thousand.

  • The thousands digit is 88:

48876348\boxed{8}763
  • The digit immediately to its right is the hundreds digit, 77.
  • Since 77 is greater than or equal to 55, round the 88 up to 99.
  • Change the hundreds, tens, and ones digits to zeros.

Therefore,

48,763≈49,00048{,}763 \approx 49{,}000

So, 48,76348{,}763 rounded to the nearest thousand is 49,00049{,}000.

Learn by doing: Round numbers to a specified place value

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    Rounding Whole Numbers - Thousands to Nearest Hundred

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