Rounding a multi-digit whole number to the nearest hundred means identifying the two consecutive multiples of 100 that surround it and choosing the one with the smaller distance; a number ending in 50 is halfway and rounds to the greater hundred. The tens digit provides an efficient place-value method—0–4 rounds down and 5–9 up—while digits to the right become zero; this applies to whole numbers, including numbers in the millions, not decimals or negative numbers.
Detailed Explanation: Round numbers to the nearest 100
To round a whole number to the nearest hundred:
Find the tens digit.
If the tens digit is 0–4, round down.
If the tens digit is 5–9, round up.
Change the tens digit and all digits to its right to zeros.
Example: Round (4,763) to the nearest hundred.
The hundreds digit is 7.
The tens digit is 6.
Since 6 is in the range (5–9), round the hundreds digit up from 7 to 8.
Change the tens and ones digits to zeros.
4,763≈4,800
So, (4,763) rounded to the nearest hundred is (4,800).
Learn by doing: Round numbers to the nearest 100
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Rounding Whole Numbers - Hundreds to Nearest Hundred