Approximating 39,133: Finding the Nearest Round Number

To solve the problem of finding the approximation of $39,133$, follow these steps:

• Step 1: Determine which place value rounding is expected. Since smaller increments in hundreds and tens are presented in our choices, start with rounding to the nearest 10.
• Step 2: Look at the unit digit (3) in $39,133$. Ensure proper positioning by analyzing what rounding to the nearest 10 will enact here.
• Step 3: Carry out: When rounding numbers, we determine if the parentheses value, $3$, requests rounding up or down. When the units digit in this place value is below five, the rounding retains the lower outcome of these choices.

Looking at $39,133$, examining its digits, the tens place is 3 and the units digit is 3, it is less than 5. Thus, the number rounds down to $39,130$.

Therefore, rounding $39,133$ to the nearest 10 gives $39,130$.