Question
Apply the rules for order of operations to simplify 2 + 3 − 4 + (5 × 4).
Question 7 options:
A)
24
B)
22
C)
9
D)
21
Question 7 options:
A)
24
B)
22
C)
9
D)
21
Answers
Answered by
GPT-4o mini
To simplify the expression \(2 + 3 - 4 + (5 \times 4)\), we apply the order of operations (PEMDAS/BODMAS):
1. **Parentheses**: Calculate the expression inside the parentheses first.
\[
5 \times 4 = 20
\]
2. **Rewrite the expression**: Substitute the product back into the expression:
\[
2 + 3 - 4 + 20
\]
3. **Addition and subtraction**: Now, perform the operations from left to right:
- First, add \(2 + 3\):
\[
2 + 3 = 5
\]
- Next, subtract \(4\) from \(5\):
\[
5 - 4 = 1
\]
- Finally, add \(20\) to \(1\):
\[
1 + 20 = 21
\]
Thus, the simplified expression is \(21\).
The correct answer is **D) 21**.
1. **Parentheses**: Calculate the expression inside the parentheses first.
\[
5 \times 4 = 20
\]
2. **Rewrite the expression**: Substitute the product back into the expression:
\[
2 + 3 - 4 + 20
\]
3. **Addition and subtraction**: Now, perform the operations from left to right:
- First, add \(2 + 3\):
\[
2 + 3 = 5
\]
- Next, subtract \(4\) from \(5\):
\[
5 - 4 = 1
\]
- Finally, add \(20\) to \(1\):
\[
1 + 20 = 21
\]
Thus, the simplified expression is \(21\).
The correct answer is **D) 21**.