Rounding Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Round 4,736.4824{,}736.482 to (a) the nearest hundred, (b) the nearest tenth.

Solution

  1. 1
    Identify the target place and look at the digit immediately to its right.
  2. 2
    (a) Nearest hundred: The hundreds digit is 77; look at the tens digit: 3<53 < 5, so round down (keep hundreds digit as 77). 4,736.482โ‰ˆ4,7004{,}736.482 \approx 4{,}700.
  3. 3
    (b) Nearest tenth: The tenths digit is 44; look at the hundredths digit: 8โ‰ฅ58 \geq 5, so round up. 4,736.482โ‰ˆ4,736.54{,}736.482 \approx 4{,}736.5.

Answer

(a) 4,7004{,}700; (b) 4,736.54{,}736.5
Rounding uses the digit immediately to the right of the target place: if it is 55 or more, increase the target digit by 11; if it is less than 55, leave the target digit unchanged. All digits to the right then become zero (or are dropped for decimals).

About Rounding

Replacing a number with a nearby simpler approximation at a specified place value, using the digit to the right to decide.

Learn more about Rounding โ†’

More Rounding Examples