Multiply 2.613 × 100: Decimal Place Value Shift Problem

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

• Step 1: Understand the operation of multiplying a decimal by 100.
• Step 2: Apply the method of shifting the decimal point to the right.
• Step 3: Confirm that the final result corresponds to one of the provided answer choices.

Now, let's work through each step:

Step 1: We are tasked with multiplying the given decimal number $2.613$ by $100$. In general, multiplying a decimal by a power of ten involves moving the decimal point to the right. When you multiply by $100$, the decimal is moved two places to the right.

Step 2: We begin with the number $2.613$. To multiply by 100, we move the decimal point two places to the right. This results in $261.3$.

Step 3: Now, let's compare our result with the provided choices:

1. $261.6$
2. $261.3$
3. $261$
4. $260.3$

The correct choice, $261.3$, matches our calculated result.

Thus, the solution to the problem is $261.3$.