Questions: The land area of Alaska is 570,833 mi^2. What is the land area of Alaska to the nearest hundred-thousand square miles?

Transcript text: The land area of Alaska is $570,833 \mathrm{mi}^{2}$. What is the land area of Alaska to the nearest hundred-thousand square miles? $\square$ $m i^{2}$

Solution

Solution Steps

To round the land area of Alaska to the nearest hundred-thousand square miles, we need to identify the digit in the hundred-thousand place and the digit immediately to its right. If the digit to the right is 5 or greater, we round up; otherwise, we round down.

Step 1: Identify the Hundred-Thousand Place

The land area of Alaska is given as $570,833 \, \text{mi}^2$. To round to the nearest hundred-thousand, we first identify the digit in the hundred-thousand place, which is $5$.

Step 2: Check the Next Digit

The digit immediately to the right of the hundred-thousand place is $7$. According to rounding rules, if this digit is 5 or greater, we round up.

Step 3: Apply Rounding Rule

Since the digit $7$ is greater than $5$, we round up the digit in the hundred-thousand place from $5$ to $6$.