Solve: Find the Decimal Point in 3.751 × 0.5 = 18755

Question

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

3.751×0.5=18755 3.751\times0.5=18755

Video Solution

Step-by-Step Solution

To solve the problem, we need to follow these steps:

  • Step 1: Multiply 3.7513.751 and 0.50.5 as though they are whole numbers.
  • Step 2: Calculate the product of these whole numbers.
  • Step 3: Adjust the decimal point in the product to correspond to the number of decimal places in the original numbers.

Now, let's work through each step:

**Step 1-2**: Multiply 3.7513.751 by 0.50.5 by treating them as 37513751 and 55. The multiplication is:
3751×5=18755 3751 \times 5 = 18755

**Step 3**: The original numbers have a total of four decimal places (three from 3.7513.751 and one from 0.50.5). Therefore, the result should also have four decimal places. Starting with 1875518755, we place the decimal point four places from the right:
1.8755 1.8755

Thus, the correct result with the decimal point placed accurately is 1.87551.8755.

The correct answer brings us to choice 2: 1.87551.8755

Answer

1.8755 1.8755