To evaluate the numerical expression [tex]\( 6 + 3 \cdot 4 \)[/tex], we need to follow the order of operations, often remembered by the acronym PEMDAS/BODMAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Here are the steps:
1. Identify and perform any Multiplication:
- In the expression [tex]\( 6 + 3 \cdot 4 \)[/tex], we see there is a multiplication operation: [tex]\( 3 \cdot 4 \)[/tex].
- Calculate [tex]\( 3 \cdot 4 = 12 \)[/tex].
2. Rewrite the expression with the result of the multiplication:
- The expression now is [tex]\( 6 + 12 \)[/tex].
3. Perform the Addition:
- Now we simply add the two numbers: [tex]\( 6 + 12 \)[/tex].
- Calculate [tex]\( 6 + 12 = 18 \)[/tex].
Therefore, the value of the expression [tex]\( 6 + 3 \cdot 4 \)[/tex] is:
[tex]\[
18
\][/tex]
