How to Round a Number to Hundreds?
Rounding means simplifying a number by writing it with fewer significant digits while keeping its value close to what it originally was.
A rounded number is less precise (introduces an error) but easier to use in practice.
Most often, rounding a number to hundreds refers to mathematical rounding to the nearest hundred.
Mathematical rounding to the nearest hundred
Mathematical rounding to the nearest hundred means rounding the number to the nearest hundred, where the absolute difference with this number is minimal.
Rules for Rounding to Hundreds
Let’s consider the rules of mathematical rounding to the nearest hundred in a simple and accessible way:
Hundreds place:
- Remains unchanged if the digit in the tens place is less than 5. (0; 1; 2; 3; 4)
- Increases by 1 if the digit in the tens place is 5 or greater. (5; 6; 7; 8; 9)
Example:
4673.45785 ≈ 4700 — rounding to hundreds
6 — hundreds place;
7 — tens place.
Simple Examples:
Round the number 3173.3 to hundreds:
3173.3 ≈ 3200 because the digit in the tens place (7) is greater than 5.
Round the number 1222 to hundreds:
1222 ≈ 1200 because the digit in the tens place (2) is less than 5.
Round the number 1255 to hundreds:
1255 ≈ 1300 because the digit in the tens place (5) is equal to 5.