To find the product of \(1.59 \times 1.59\), we will use the method of multiplication.

First, we can express the numbers as:
\[1.59 \times 1.59\]

Using the multiplication method, we multiply each digit:

\[
\begin{array}{c@{}c@{}c@{}c}
& & 1.59 \\
\times & & 1.59 \\
\hline
& & 1431 \quad \text{(This is } 1.59 \times 9\text{)} \\
+ & 795 & 0 \quad \text{(This is } 1.59 \times 5 \text{, shifted one position to the left)} \\
+ & 1590 & 00 \quad \text{(This is } 1.59 \times 1 \text{, shifted two positions to the left)} \\
\hline
& 2.5281 & \\
\end{array}
\]

We sum the products:

\[
\begin{array}{c@{}c@{}c@{}c}
& & 1431 \\
+ & 7950 \\
+ & 15900 \\
\hline
& 25281 \\
\end{array}
\]

The decimal places in the product are the sum of the decimal places in the factors (two in each factor, for a total of four decimal places):

\[
\begin{array}{c@{}c@{}c@{}c}
& 2.5281 \\
\end{array}
\]

Thus, the product of \(1.59 \times 1.59\) is:

\[
1.59 \times 1.59 = 2.5281
\]

Would you like more details or have any questions?

Here are 8 related questions to expand your understanding:

1. What is \(2.52 \times 2.52\)?
2. How do you multiply numbers with decimals?
3. What is \(3.14 \times 1.59\)?
4. How do you handle the decimal point in multiplication?
5. What is the square of \(2.25\)?
6. Can you verify \(1.59 \times 1.59\) using a different method?
7. How does the multiplication of decimals differ from whole numbers?
8. What is the importance of decimal places in multiplication?

**Tip:** When multiplying decimals, count the total number of decimal places in both numbers to place the decimal correctly in the product.

Learn how to calculate the product of 1.59 multiplied by 1.59 using the method of multiplication. This problem covers multiplication of decimals and the importance of decimal places in arithmetic. Suitable for students in Grades 5-8.

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