Find the following product :
`(-13)xx(-16)`

Answer

To find the product of \((-13)\) and \((-16)\), we can follow these steps:

### Step 1: Multiply the absolute values
First, we multiply the absolute values of the two numbers. The absolute values are \(13\) and \(16\).

\[ 13 \times 16 \]

### Step 2: Perform the multiplication
Now, we will multiply \(13\) and \(16\).

- Multiply \(6\) (from \(16\)) by \(3\) (from \(13\)):
\[ 6 \times 3 = 18 \quad \text{(write down 8 and carry over 1)} \]

- Multiply \(6\) (from \(16\)) by \(1\) (from \(13\)):
\[ 6 \times 1 = 6 \quad \text{(add the carry 1)} \quad 6 + 1 = 7 \]

So, the result for this part is \(78\).

- Now, multiply \(1\) (from \(16\)) by \(3\) (from \(13\)):
\[ 1 \times 3 = 3 \]

- Multiply \(1\) (from \(16\)) by \(1\) (from \(13\)):
\[ 1 \times 1 = 1 \]

Now, we add these results together:
- From the first multiplication, we have \(78\).
- From the second multiplication, we have \(30\) (since \(3\) is in the tens place).

Adding these together:
\[ 78 + 30 = 108 \]

### Step 3: Determine the sign of the product
Now we need to determine the sign of the product. Since both numbers are negative:
\[ (-) \times (-) = (+) \]

Thus, the product is positive.

### Final Answer
Therefore, the product of \((-13)\) and \((-16)\) is:
\[ \boxed{208} \]

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