Question
3. \( (6+2)-15 \div 5 \times 2 \)
Ask by Osborne Robbins. in Canada
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The final answer is 2.
Solution
Let's evaluate the expression step by step:
\[
(6 + 2) - \frac{15}{5} \times 2
\]
1. **Parentheses first:**
\[
6 + 2 = 8
\]
So, the expression becomes:
\[
8 - \frac{15}{5} \times 2
\]
2. **Division and Multiplication (from left to right):**
- **Division:**
\[
\frac{15}{5} = 3
\]
- **Multiplication:**
\[
3 \times 2 = 6
\]
Now, the expression is:
\[
8 - 6
\]
3. **Subtraction:**
\[
8 - 6 = 2
\]
**Final Answer:** \( 2 \)
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Beyond the Answer
To solve \( (6+2)-15 \div 5 \times 2 \), we first need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). First, calculate inside the parentheses: \( 6 + 2 = 8 \). Next, perform the division: \( 15 \div 5 = 3 \). Now, replace that in the equation: \( 8 - 3 \times 2 \). Next, the multiplication: \( 3 \times 2 = 6 \). Now we have: \( 8 - 6 = 2 \). The final result is \( 2 \).