To simplify the expression [tex]\(2 + 3 - 4 + (5 \times 4)\)[/tex], we need to follow the rules for 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: First, we address the operation within the parentheses.
[tex]\[
5 \times 4 = 20
\][/tex]
2. Substitute the result back into the expression: This gives us:
[tex]\[
2 + 3 - 4 + 20
\][/tex]
3. Addition and Subtraction (from left to right):
- First, add [tex]\(2 + 3\)[/tex]:
[tex]\[
2 + 3 = 5
\][/tex]
- Next, subtract [tex]\(4\)[/tex] from the result:
[tex]\[
5 - 4 = 1
\][/tex]
- Finally, add [tex]\(20\)[/tex] to the result:
[tex]\[
1 + 20 = 21
\][/tex]
Therefore, the simplified value of the expression [tex]\(2 + 3 - 4 + (5 \times 4)\)[/tex] is [tex]\(21\)[/tex].
The best answer is:
A. 21
