Calculate the Square Root: Finding the Approximation of √6430

$6430\approx\text{ ?}$

To solve this problem, we'll follow these steps:

• Step 1: Identify the hundreds digit in the number 6430.
• Step 2: Apply the rounding rule for determining the nearest thousand.
• Step 3: Conclude with the rounded number based on the calculated rule.

Now, let's work through each step:
Step 1: The given number is $6430$. The hundreds digit in this number is $4$ (from left-to-right, the number reads as 6000 + 400 + 30).
Step 2: According to the rounding rule, if the hundreds digit is less than 5, we round down. Since $4$ is less than $5$, we will round 6430 down to 6000.
Step 3: Based on this calculation, the number 6430 rounded to the nearest thousand is 6000.

Therefore, the solution to the problem is $6000$.