To multiply the numbers 8.01 and 0.99, follow these steps:
1. Align the Decimal Points: First, align the decimals to make sure you are clear on the place value of each digit. For simplicity in calculation, you can temporarily ignore the decimals.
[tex]\[
\begin{array}{r}
801 \\
\times 99 \\
\hline
\end{array}
\][/tex]
2. Multiply Without Considering Decimals: Perform the multiplication as if there are no decimals:
[tex]\[
\begin{array}{r}
801 \\
\times 99 \\
\hline
\end{array}
\][/tex]
[tex]\[
801 \times 99 = 801 \times (100 - 1) = (801 \times 100) - (801 \times 1) = 80100 - 801 = 79299
\][/tex]
3. Count Decimal Places: Consider the number of decimal places in the original numbers. Here, [tex]\(8.01\)[/tex] has two decimal places, and [tex]\(0.99\)[/tex] has two decimal places, making a total of four decimal places in the product.
4. Place the Decimal in the Product: Starting from the rightmost digit of the product [tex]\(79299\)[/tex], count four decimal places to the left and place the decimal point.
[tex]\[
7.9299
\][/tex]
Therefore, the product of [tex]\(8.01\)[/tex] and [tex]\(0.99\)[/tex] is:
[tex]\[
\boxed{7.9299}
\][/tex]
