To evaluate the numerical expression [tex]\(6 + 3 \cdot 4\)[/tex], we follow the order of operations, often referred to by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. According to PEMDAS, we start with any calculations inside parentheses, but there are none in this problem.
2. Next, we look for exponents, but there are none in this expression.
3. Then, we perform any multiplication or division from left to right. Here, we have [tex]\(3 \cdot 4\)[/tex].
[tex]\[
3 \cdot 4 = 12
\][/tex]
4. Now, the expression simplifies to:
[tex]\[
6 + 12
\][/tex]
5. Finally, we perform the addition:
[tex]\[
6 + 12 = 18
\][/tex]
Therefore, the result of the expression [tex]\(6 + 3 \cdot 4\)[/tex] is [tex]\( \boxed{18} \)[/tex].
