Question
Submit Question Question 16 Use the rule for order of operations to simplify the expression \( 4+4(6+4)+6=\square \)
Ask by Deleon Byrd. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 4 + 4(6 + 4) + 6 = 50 \)
Solution
To simplify the expression \( 4 + 4(6 + 4) + 6 \) using the order of operations (PEMDAS/BODMAS), follow these steps:
**1. Parentheses/Brackets:**
- Start by simplifying the expression inside the parentheses.
\[
6 + 4 = 10
\]
So, the expression becomes:
\[
4 + 4(10) + 6
\]
**2. Exponents/Orders:**
- There are no exponents in this expression, so move to the next step.
**3. Multiplication and Division:**
- Perform the multiplication next.
\[
4 \times 10 = 40
\]
Now, the expression is:
\[
4 + 40 + 6
\]
**4. Addition and Subtraction:**
- Finally, add the numbers together.
\[
4 + 40 = 44 \\
44 + 6 = 50
\]
**Final Answer:**
\[
4 + 4(6 + 4) + 6 = 50
\]
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Simplify this solution Extra Insights
To simplify the expression \( 4 + 4(6 + 4) + 6 \), we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, solve the parentheses: \( 6 + 4 = 10 \). Now substitute back into the expression: \( 4 + 4(10) + 6 \). Next, perform the multiplication: \( 4 \times 10 = 40 \). So now we have: \( 4 + 40 + 6 \). Finally, perform the addition sequentially: \( 4 + 40 = 44 \), and then \( 44 + 6 = 50 \). Thus, the simplified expression equals \( \square = 50 \).
