Answer :
To simplify the expression [tex]\(8.5 + (12 + 4) \times 2 - 7\)[/tex], we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. Evaluate inside the parentheses:
[tex]\((12 + 4) = 16\)[/tex]
2. Perform multiplication:
[tex]\(16 \times 2 = 32\)[/tex]
3. Addition and subtraction from left to right:
First, add:
[tex]\(8.5 + 32 = 40.5\)[/tex]
Then, subtract:
[tex]\(40.5 - 7 = 33.5\)[/tex]
The simplified value of the expression is [tex]\(\boxed{33.5}\)[/tex].
1. Evaluate inside the parentheses:
[tex]\((12 + 4) = 16\)[/tex]
2. Perform multiplication:
[tex]\(16 \times 2 = 32\)[/tex]
3. Addition and subtraction from left to right:
First, add:
[tex]\(8.5 + 32 = 40.5\)[/tex]
Then, subtract:
[tex]\(40.5 - 7 = 33.5\)[/tex]
The simplified value of the expression is [tex]\(\boxed{33.5}\)[/tex].
