Solve: Locating the Decimal Point in 2.35 × 7.6 = 1786

Given the following exercise, find the correct place of the decimal point:

$2.35\times7.6=1786$

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

• Step 1: Identify the decimal places in each number.
• Step 2: Determine the total number of decimal places needed in the product.
• Step 3: Adjust the product to include the correct number of decimal places.
• Step 4: Select the correct answer from the choices based on this calculation.

Let's work through these steps:

Step 1: The number $2.35$ has two decimal places, and the number $7.6$ has one decimal place. This gives us a total of $2 + 1 = 3$ decimal places needed in the product.

Step 2: Multiply the numbers as whole numbers: $235 \times 76 = 17860$. Notice it seems like $1786$ in the problem statement, which lacks correct decimal placement.

Step 3: With a total of three decimal places needed in the result, we place the decimal point in $1786$ to make it $17.86$, adding those three decimal places.

Step 4: Compare this with the given options. The placement in option 2 is $\text{\textbf{17.86}}$, which correctly reflects the required three decimal places.

Therefore, the correct solution is \(\textbf{$17.86$}\).