Questions: Simplify. 32+4 cdot 4 Select the correct choice below and, if necessary, fill in the answer box A. 32+4 cdot 4= B. The expression is undefined.

Transcript text: Simplify. \[ 32+4 \cdot 4 \] Select the correct choice below and, if necessary, fill in the answer box A. $32+4 \cdot 4=$ $\square$ B. The expression is undefined.

Solution

Solution Steps

To simplify the expression $32 + 4 \cdot 4$, 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)). According to this rule, we first perform the multiplication and then the addition.

Step 1: Apply the Order of Operations

To simplify the expression $32 + 4 \cdot 4$, we first perform the multiplication according to the order of operations (PEMDAS/BODMAS). This gives us:

\[ 4 \cdot 4 = 16 \]

Step 2: Perform the Addition

Next, we add the result of the multiplication to 32:

\[ 32 + 16 = 48 \]