Evaluate:
`10.546xx 16`

Answer

To evaluate \( 10.546 \times 16 \), we can follow these steps:

### Step 1: Write the numbers in a more manageable form
We can express \( 10.546 \) as \( 10,546 \) and remember that we will need to place the decimal back in the answer later.

### Step 2: Multiply the decimal number by 16
We will multiply \( 10,546 \) by \( 16 \) using long multiplication.

1. **Multiply the last digit (6) of 10,546 by 16:**
\[ 6 \times 16 = 96 \]
Write down 6 and carry over 9.

2. **Multiply the second last digit (4) by 16 and add the carry:**
\[ 4 \times 16 = 64 \quad \text{(plus the carry 9)} \quad 64 + 9 = 73 \]
Write down 3 and carry over 7.

3. **Multiply the third last digit (5) by 16 and add the carry:**
\[ 5 \times 16 = 80 \quad \text{(plus the carry 7)} \quad 80 + 7 = 87 \]
Write down 7 and carry over 8.

4. **Multiply the fourth last digit (0) by 16 and add the carry:**
\[ 0 \times 16 = 0 \quad \text{(plus the carry 8)} \quad 0 + 8 = 8 \]
Write down 8 and carry over 0.

5. **Multiply the fifth last digit (1) by 16:**
\[ 1 \times 16 = 16 \]
Write down 16.

So, the result of the multiplication without considering the decimal is:
\[ 168736 \]

### Step 3: Place the decimal point
Since \( 10.546 \) has three decimal places, we need to place the decimal point in our answer \( 168736 \) three places from the right:
\[ 168.736 \]

### Final Answer
Thus, the result of \( 10.546 \times 16 \) is:
\[ \boxed{168.736} \]

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