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Multiply the 202.02 xx 2.2...

Multiply the
`202.02 xx 2.2`

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To solve the multiplication of \( 202.02 \times 2.2 \), we will follow these steps: ### Step 1: Remove the Decimal Points First, we will eliminate the decimal points from both numbers to make the multiplication easier. - \( 202.02 \) has 2 decimal places. - \( 2.2 \) has 1 decimal place. We can rewrite the numbers as: - \( 202.02 \) becomes \( 20202 \) (by multiplying by \( 100 \)). - \( 2.2 \) becomes \( 22 \) (by multiplying by \( 10 \)). ### Step 2: Multiply the Whole Numbers Now we will multiply the whole numbers: \[ 20202 \times 22 \] To do this multiplication: - \( 2 \times 2 = 4 \) - \( 2 \times 0 = 0 \) - \( 2 \times 2 = 4 \) - \( 2 \times 0 = 0 \) - \( 2 \times 2 = 4 \) - \( 2 \times 2 = 4 \) This can be arranged as follows: ``` 20202 x 22 ________ 40404 (20202 multiplied by 2) + 40404 (20202 multiplied by 20, shifted one position to the left) ________ 44444 ``` ### Step 3: Count the Total Decimal Places Now we need to determine where to place the decimal point in our final answer. - From \( 202.02 \), we had 2 decimal places. - From \( 2.2 \), we had 1 decimal place. - Therefore, the total number of decimal places is \( 2 + 1 = 3 \). ### Step 4: Place the Decimal Point Now, we will place the decimal point in our result \( 44444 \) to account for the 3 decimal places: - Starting from the right, we count 3 places: \( 44.444 \). ### Final Answer Thus, the product of \( 202.02 \times 2.2 \) is: \[ \boxed{44.444} \] ---
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