Question
Find the value of the expression: \( 10 \div 2+(7-4)^{2} \) 8
Ask by Clarke Boone. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of the expression \( 10 \div 2 + (7 - 4)^2 \) is **14**.
Solution
Let's evaluate the expression step by step using the order of operations (PEMDAS/BODMAS):
\[
10 \div 2 + (7 - 4)^2
\]
1. **Parentheses**:
\[
7 - 4 = 3
\]
So the expression becomes:
\[
10 \div 2 + 3^2
\]
2. **Exponents**:
\[
3^2 = 9
\]
Now the expression is:
\[
10 \div 2 + 9
\]
3. **Division**:
\[
10 \div 2 = 5
\]
Updating the expression:
\[
5 + 9
\]
4. **Addition**:
\[
5 + 9 = 14
\]
**Final Answer:** The value of the expression is **14**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
Let's break down the expression step by step for clarity. First, we tackle the division: \( 10 \div 2 = 5 \). Next, we solve the parentheses: \( 7 - 4 = 3 \). Now, we take that result and square it: \( 3^{2} = 9 \). Finally, we combine the two results: \( 5 + 9 = 14 \). So, the correct answer to the expression is \( 14 \), not \( 8 \).
