Rounding a whole number to the nearest 100 means identifying the consecutive multiples of 100 between which it lies and choosing the closer one: numbers whose tens-and-ones portion is 00–49 round down, while 50–99 round up, including exact halfway cases. Place-value notation and a number line show why the result is a multiple of 100, with tens and ones becoming zero; carrying may increase the hundreds or higher place. This scope excludes decimals, negative numbers, and alternative rounding conventions.
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To round a whole number to the nearest :
Example: Round to the nearest .
On a number line, is exactly halfway between and , and halfway cases round up.
Therefore,
The tens and ones become zeros, and the in the hundreds place carries to make thousand.
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