Let's simplify the expression [tex]\((7 - 3) + 6 \div 2\)[/tex] step by step using the order of operations (PEMDAS/BODMAS).
1. Parentheses: First, simplify the expression within the parentheses.
[tex]\[
7 - 3 = 4
\][/tex]
2. After simplifying the parentheses, the expression now is:
[tex]\[
4 + 6 \div 2
\][/tex]
3. Division: Next, perform the division operation.
[tex]\[
6 \div 2 = 3.0
\][/tex]
4. The expression now becomes:
[tex]\[
4 + 3.0
\][/tex]
5. Addition: Finally, perform the addition.
[tex]\[
4 + 3.0 = 7.0
\][/tex]
So, the simplified expression [tex]\((7 - 3) + 6 \div 2\)[/tex] equals [tex]\(7.0\)[/tex].
