Answer :
To simplify the expression [tex]\(8.5 + (12 + 4) \times 2 - 7\)[/tex], we will 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. Parentheses: Start by simplifying the expression within the parentheses:
[tex]\[
12 + 4 = 16
\][/tex]
2. Multiplication: Next, multiply the result from the parentheses by 2:
[tex]\[
16 \times 2 = 32
\][/tex]
3. Addition: Then, add 8.5 to the result of the multiplication:
[tex]\[
8.5 + 32 = 40.5
\][/tex]
4. Subtraction: Finally, subtract 7 from the sum:
[tex]\[
40.5 - 7 = 33.5
\][/tex]
So, the simplified value of the expression [tex]\(8.5 + (12 + 4) \times 2 - 7\)[/tex] is [tex]\(33.5\)[/tex]. Therefore, the correct answer is [tex]\(33.5\)[/tex].
1. Parentheses: Start by simplifying the expression within the parentheses:
[tex]\[
12 + 4 = 16
\][/tex]
2. Multiplication: Next, multiply the result from the parentheses by 2:
[tex]\[
16 \times 2 = 32
\][/tex]
3. Addition: Then, add 8.5 to the result of the multiplication:
[tex]\[
8.5 + 32 = 40.5
\][/tex]
4. Subtraction: Finally, subtract 7 from the sum:
[tex]\[
40.5 - 7 = 33.5
\][/tex]
So, the simplified value of the expression [tex]\(8.5 + (12 + 4) \times 2 - 7\)[/tex] is [tex]\(33.5\)[/tex]. Therefore, the correct answer is [tex]\(33.5\)[/tex].
