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Round numbers to the nearest 1,000

Rounding a whole number to the nearest 1,000 means replacing it with the multiple of 1,000 that is closest, using its position between consecutive thousands on a number line. The hundreds digit—or equivalently, the remainder after removing the thousands—determines the result: remainders below 500 round down, while 500 or more round up; this supports place-value reasoning and estimation for multi-digit whole numbers, without extending to decimals, negative numbers, or more advanced generalizations.

Detailed Explanation: Round numbers to the nearest 1,000

To round a whole number to the nearest 1,0001{,}000, find the two consecutive multiples of 1,0001{,}000 that the number lies between.

  • If the hundreds digit is 0,1,2,3,0,1,2,3, or 44, round down.
  • If the hundreds digit is 5,6,7,8,5,6,7,8, or 99, round up.

Example: Round 6,7426{,}742 to the nearest 1,0001{,}000.

  1. Find the thousands the number is between:

6,000<6,742<7,0006{,}000 < 6{,}742 < 7{,}000

  1. Look at the hundreds digit in 6,7426{,}742. The hundreds digit is 77.

  2. Since 77 is 55 or more, round up to the next thousand.

6,742≈7,0006{,}742 \approx 7{,}000

So, 6,7426{,}742 rounded to the nearest 1,0001{,}000 is 7,0007{,}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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