Question
Find the value of the expression: \( 10 \div 2+(7-4) \)
Ask by Chavez Cox. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of the expression \( 10 \div 2 + (7 - 4) \) is 8.
Solution
To evaluate the expression \( 10 \div 2 + (7 - 4) \), we'll follow the order of operations, often remembered by the acronym PEMDAS:
1. **Parentheses**
2. **Exponents**
3. **Multiplication and Division** (from left to right)
4. **Addition and Subtraction** (from left to right)
Let's break it down step by step:
1. **Evaluate the expression inside the parentheses:**
\[
7 - 4 = 3
\]
So, the expression becomes:
\[
10 \div 2 + 3
\]
2. **Perform the division:**
\[
10 \div 2 = 5
\]
Now, the expression is:
\[
5 + 3
\]
3. **Perform the addition:**
\[
5 + 3 = 8
\]
**Final Answer:** \( 8 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve the expression \( 10 \div 2 + (7 - 4) \), we follow the order of operations. First, we perform the division: \( 10 \div 2 = 5 \). Next, we simplify the expression inside the parentheses: \( 7 - 4 = 3 \). Now, we can combine the results: \( 5 + 3 = 8 \). Thus, the value of the expression is \( 8 \).
