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Apply the rules for order of operations to simplify [tex]$2+3-4+(5 \times 4)$[/tex].

A. 21
B. 9
C. 24
D. 22

Sagot :

GinnyAnsweridn
To simplify [tex]\(2 + 3 - 4 + (5 \times 4)\)[/tex], we'll follow the order of operations, which can be remembered by the acronym PEMDAS:

Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)

Following these steps:

1. Parentheses first: We have [tex]\(5 \times 4\)[/tex] inside the parentheses.
[tex]\[ 5 \times 4 = 20 \][/tex]
Now our expression becomes:
[tex]\[ 2 + 3 - 4 + 20 \][/tex]

2. Addition and Subtraction (from left to right): Let's process the expression from left to right.

First, we perform the addition:
[tex]\[ 2 + 3 = 5 \][/tex]
Now the expression is:
[tex]\[ 5 - 4 + 20 \][/tex]

Next, perform the subtraction:
[tex]\[ 5 - 4 = 1 \][/tex]
Now the expression is:
[tex]\[ 1 + 20 \][/tex]

Finally, perform the last addition:
[tex]\[ 1 + 20 = 21 \][/tex]

The simplified value of the expression [tex]\(2 + 3 - 4 + (5 \times 4)\)[/tex] is [tex]\(\boxed{21}\)[/tex]. Thus, the correct answer is:

A. 21
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