Decimal Point Placement: Solve 0.45 × 3.14 = 1413

Question

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

0.45×3.14=1413 0.45\times3.14=1413

Video Solution

Step-by-Step Solution

To solve this problem, we need to determine the correct position of the decimal point in the product 14131413, which results from multiplying 0.450.45 by 3.143.14.

  • Step 1: Count the decimal places in each factor. The number 0.450.45 has 2 decimal places, and 3.143.14 has 2 decimal places.
  • Step 2: Sum the decimal places from each factor. The total number of decimal places is 2+2=42 + 2 = 4.
  • Step 3: Place the decimal point in the result 14131413 such that there are 4 digits following the decimal.

Therefore, the decimal point should be placed to give us 1.4131.413.

Given the provided choices, the correct option is: 1.4131.413.

Thus, the corrected and correctly formatted multiplication result is 1.4131.413.

Answer

1.413 1.413