Question
Evaluate the expression : 2 + 3 · (5 - 2) · 2
*
14
23
29
31
*
14
23
29
31
Answers
Answered by
GPT-4o mini
To evaluate the expression \( 2 + 3 \cdot (5 - 2) \cdot 2 \), we follow the order of operations (PEMDAS/BODMAS):
1. **Parentheses**: Calculate \( 5 - 2 \):
\[
5 - 2 = 3
\]
2. **Substitution**: Substitute back into the expression:
\[
2 + 3 \cdot 3 \cdot 2
\]
3. **Multiplication**: Now, we perform the multiplication:
\[
3 \cdot 3 = 9
\]
Then multiply by 2:
\[
9 \cdot 2 = 18
\]
4. **Final addition**: Now, add 2:
\[
2 + 18 = 20
\]
The final result is \( 20 \). Since this number is not among the options provided (14, 23, 29, 31), it seems there might be a mistake in the options or in the expression itself. However, the correctly evaluated result of the expression \( 2 + 3 \cdot (5 - 2) \cdot 2 \) is indeed \( 20 \).
1. **Parentheses**: Calculate \( 5 - 2 \):
\[
5 - 2 = 3
\]
2. **Substitution**: Substitute back into the expression:
\[
2 + 3 \cdot 3 \cdot 2
\]
3. **Multiplication**: Now, we perform the multiplication:
\[
3 \cdot 3 = 9
\]
Then multiply by 2:
\[
9 \cdot 2 = 18
\]
4. **Final addition**: Now, add 2:
\[
2 + 18 = 20
\]
The final result is \( 20 \). Since this number is not among the options provided (14, 23, 29, 31), it seems there might be a mistake in the options or in the expression itself. However, the correctly evaluated result of the expression \( 2 + 3 \cdot (5 - 2) \cdot 2 \) is indeed \( 20 \).
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