Questions: Complete the following to show how to round 7.62145 to the nearest thousandth. Since we are rounding to the nearest thousandth, we begin by noting that 7.62145 is between and

Complete the following to show how to round 7.62145 to the nearest thousandth.

Since we are rounding to the nearest thousandth, we begin by noting that 7.62145 is between and

Transcript text: Complete the following to show how to round 7.62145 to the nearest thousandth. Since we are rounding to the nearest thousandth, we begin by noting that 7.62145 is between $\square$ and $\square$

Solution

Solution Steps

To round 7.62145 to the nearest thousandth, we need to look at the digit in the thousandth place and the digit immediately to its right. The digit in the thousandth place is 1, and the digit to its right is 4. Since 4 is less than 5, we do not round up the thousandth place digit.

Step 1: Identify the Relevant Digits

We start with the number $ 7.62145 $. To round to the nearest thousandth, we identify the digit in the thousandth place, which is $ 1 $, and the digit immediately to its right, which is $ 4 $.

Step 2: Apply Rounding Rules

According to rounding rules, if the digit to the right of the place we are rounding to (in this case, the digit $ 4 $) is less than $ 5 $, we do not round up. Therefore, the digit in the thousandth place remains $ 1 $.

Step 3: Write the Final Rounded Value

Thus, rounding $ 7.62145 $ to the nearest thousandth gives us $ 7.621 $.