Certainly! Let's solve the given expression step-by-step according to the order of operations (PEMDAS/BODMAS).
The expression to evaluate is:
[tex]\[
7 \cdot 4 + 6 - 12 \div 4
\][/tex]
1. Multiplication and Division first:
- Perform the multiplication:
[tex]\[
7 \cdot 4 = 28
\][/tex]
- Perform the division:
[tex]\[
12 \div 4 = 3.0
\][/tex]
2. Addition and Subtraction from left to right:
- After performing the multiplication and division, the expression now looks like:
[tex]\[
28 + 6 - 3.0
\][/tex]
- Perform the addition:
[tex]\[
28 + 6 = 34
\][/tex]
- Finally, perform the subtraction:
[tex]\[
34 - 3.0 = 31.0
\][/tex]
So, the value of the expression [tex]\(7 \cdot 4 + 6 - 12 \div 4 \)[/tex] is:
[tex]\[
\boxed{31.0}
\][/tex]
