The problem is to evaluate the expression $16 \div 4(4)$. This is a classic order of operations problem which often causes confusion.

1. Problem Description

The problem is to evaluate the expression $16 \div 4(4)$. This is a classic order of operations problem which often causes confusion.

2. Solution Steps

To solve this, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

The given expression is $16 \div 4(4)$.

First, evaluate the expression inside the parentheses:

The expression inside the parentheses is simply (4), which is already evaluated.

Next, we have to perform multiplication and division from left to right.

The expression can be interpreted as:

$16 \div 4 \times 4$.

First, perform the division:

$16 \div 4 = 4$

Now, perform the multiplication:

$4 \times 4 = 16$

So, the expression evaluates to $16$.

Alternatively, we might have thought the question was asking us to solve $16 \div (4(4))$. In this case, we would first do $4(4) = 4 \times 4 = 16$, then we would calculate $16 \div 16 = 1$. However, based on normal mathematical convention we should proceed left to right when both multiplication and division are present.

Therefore, we evaluate the expression as $16 \div 4 \times 4$.

3. Final Answer

16