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

Solution Steps

00:00 Solve
00:03 Convert decimal numbers to fractions
00:07 Write the number as a whole number in the numerator, and multiply by 10 in the denominator
00:10 Add zeros to the denominator according to the number of digits after the decimal point:
00:14 Move to the second term, use the same method
00:24 Make sure to multiply numerator by numerator and denominator by denominator
00:38 Calculate the multiplications
00:47 Now write the numerator as a whole number
00:53 For the zeros in the denominator, position the decimal point
01:02 And this is the solution to the question

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