Solve: Placing the Decimal Point in 2.5 × 0.13 = 0325

Question

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

$2.5\times0.13=0325$

00:00 Place the decimal point

00:04 Count the total number of digits after the decimal point

00:08 According to this sum, we'll place the decimal point in the solution

00:12 We'll move the decimal point by the sum of digits

00:15 And this is the solution to the question

To solve this problem, we'll determine the placement of the decimal point, adhering to the total number of decimal places rule in multiplication:

Step 1: Identify the decimal places in the numbers.
- $2.5$ has 1 decimal place.
- $0.13$ has 2 decimal places.
Step 2: Calculate the total decimal places in the product:
- Total: $1 + 2 = 3$ decimal places.
Step 3: Apply the decimal places to the product $0325$ :
- Insert decimal point into $0325$ such that it reflects 3 decimal places:

Position the decimal to achieve $0.325$ .

Therefore, the correct placement of the decimal point results in the answer $\text{0}.325$ , matching the given correct answer.

$\text{0}.325$