To evaluate the expression [tex]\( 6 + 3 \cdot 4 \)[/tex], we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Multiplication comes before addition in the order of operations. Let's break this down step-by-step:
1. Identify and perform the multiplication first:
[tex]\[
3 \cdot 4 = 12
\][/tex]
2. Now, add the result of the multiplication to 6:
[tex]\[
6 + 12 = 18
\][/tex]
So, the value of the expression [tex]\( 6 + 3 \cdot 4 \)[/tex] is [tex]\( \boxed{18} \)[/tex].
