To evaluate the expression [tex]\(7 \cdot 4 + 6 - 12 \div 4\)[/tex], follow these steps:
1. Multiplication and Division First (from left to right):
- Begin with the multiplication [tex]\(7 \cdot 4\)[/tex]:
[tex]\[
7 \cdot 4 = 28
\][/tex]
- Next, perform the division [tex]\(12 \div 4\)[/tex]:
[tex]\[
12 \div 4 = 3
\][/tex]
2. Substitute these values back into the expression, replacing the original operations:
[tex]\[
28 + 6 - 3
\][/tex]
3. Now, perform the addition and subtraction from left to right:
- Add [tex]\(28 + 6\)[/tex]:
[tex]\[
28 + 6 = 34
\][/tex]
- Finally, subtract [tex]\(3\)[/tex] from [tex]\(34\)[/tex]:
[tex]\[
34 - 3 = 31
\][/tex]
Thus, the value of the expression [tex]\(7 \cdot 4 + 6 - 12 \div 4\)[/tex] is [tex]\(31\)[/tex].
