Question
Use the rule for order of operations to simplify the expression as much a \( 9+24 \div 6+6 \cdot 3= \)
Ask by Parry Jimenez. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified result of the expression \( 9 + 24 \div 6 + 6 \cdot 3 \) is 31.
Solution
To simplify the expression \( 9 + 24 \div 6 + 6 \cdot 3 \) using the order of operations (PEMDAS/BODMAS), follow these steps:
**Order of Operations:**
1. **Parentheses/Brackets (P/B)**
2. **Exponents/Orders (E/O)**
3. **Multiplication and Division (from left to right) (MD)**
4. **Addition and Subtraction (from left to right) (AS)**
Let's apply these rules step-by-step to the given expression:
\[
9 + 24 \div 6 + 6 \cdot 3
\]
1. **Division and Multiplication:**
- First, perform the division \( 24 \div 6 \):
\[
24 \div 6 = 4
\]
- Next, perform the multiplication \( 6 \cdot 3 \):
\[
6 \cdot 3 = 18
\]
Now, the expression becomes:
\[
9 + 4 + 18
\]
2. **Addition:**
- Add the numbers from left to right:
\[
9 + 4 = 13
\]
\[
13 + 18 = 31
\]
**Final Simplified Result:**
\[
9 + 24 \div 6 + 6 \cdot 3 = 31
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To simplify the expression using the order of operations (PEMDAS/BODMAS), we start by handling the division and multiplication first. 1. Start with \( 24 \div 6 = 4 \). 2. Next, calculate \( 6 \cdot 3 = 18 \). 3. Now substitute these results back into the expression: \( 9 + 4 + 18 \). 4. Finally, add: \( 9 + 4 = 13 \) and \( 13 + 18 = 31 \). So, the simplified expression equals \( 31 \).
