Question
3. Determine the value of the expression below. \[ 60-(9 \div 3)^{2}+15 \]
Ask by Pope Brewer. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of the expression is 66.
Solution
To determine the value of the expression:
\[
60 - \left(\frac{9}{3}\right)^{2} + 15
\]
Let's follow the order of operations (PEMDAS/BODMAS):
1. **Parentheses/Brackets**:
\[
\frac{9}{3} = 3
\]
Now the expression becomes:
\[
60 - (3)^{2} + 15
\]
2. **Exponents**:
\[
3^{2} = 9
\]
Updating the expression:
\[
60 - 9 + 15
\]
3. **Addition and Subtraction (from left to right)**:
\[
60 - 9 = 51
\]
\[
51 + 15 = 66
\]
**Final Answer:** \(66\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To evaluate the expression \( 60-(9 \div 3)^{2}+15 \), we first need to solve the division inside the parentheses: 1. Calculate \( 9 \div 3 = 3 \). 2. Now substitute that back into the expression to get \( 60-(3)^{2}+15 \). 3. Next, calculate \( (3)^{2} = 9 \). 4. Now the expression becomes \( 60 - 9 + 15 \). 5. Perform the subtraction first: \( 60 - 9 = 51 \). 6. Finally, add: \( 51 + 15 = 66 \). Thus, the value of the expression is \( 66 \).
