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Round numbers to the nearest 1,000

Rounding a whole number to the nearest 1,000 means identifying the multiple of 1,000 it is closest to, using the hundreds digit or its position on a number line to determine whether the number is below, above, or exactly halfway between consecutive thousands; a midpoint of 500 rounds to the greater thousand. The result retains the value of higher place values while lower places become zeros, including cases such as 9,999 rounding to 10,000, and supports estimation of whole-number quantities rather than rounding decimals or negative numbers.

Detailed Explanation: Round numbers to the nearest 1,000

To round a whole number to the nearest (1,000)(1{,}000):

  1. Find the thousands digit.
  2. Look at the hundreds digit.
    • If it is (0,1,2,3,)(0,1,2,3,) or 44, keep the thousands digit the same.
    • If it is (5,6,7,8,)(5,6,7,8,) or 99, increase the thousands digit by 11.
  3. Change all digits to the right of the thousands place to zeros.

Example: Round (9,650)(9{,}650) to the nearest (1,000)(1{,}000)

The number (9,650)(9{,}650) is between (9,000)(9{,}000) and (10,000)(10{,}000).

  • The hundreds digit is 66.
  • Since 66 is 55 or greater, round up from (9,000)(9{,}000) to (10,000)(10{,}000).
  • Replace the lower-place digits with zeros.
9,650≈10,0009{,}650 \approx 10{,}000

So, (9,650)(9{,}650) rounded to the nearest (1,000)(1{,}000) is (10,000)(10{,}000).

Learn by doing: Round numbers to the nearest 1,000

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    Rounding Whole Numbers - Thousands to Nearest Thousand

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