Question
Is \( 17 \sim \) Next \( \Theta \quad \) Post Test: The Real Number System Type the correct answer in the box. Use numerals instead of words. Use the order of operations to evaluate inis expression: \( 7+(5-9)^{2}+3(16 \div 8) \). The value of the expression is
Ask by Mccoy Flynn. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of the expression is 29.
Solution
1. Evaluate the expression inside the parentheses:
\[
5-9=-4
\]
2. Compute the square of \(-4\):
\[
(-4)^2=16
\]
3. Divide \(16\) by \(8\):
\[
16 \div 8=2
\]
4. Multiply the result by \(3\):
\[
3 \times 2=6
\]
5. Add the computed values:
\[
7+16+6=29
\]
The value of the expression is \(29\).
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Simplify this solution The Deep Dive
To evaluate the expression \( 7+(5-9)^{2}+3(16 \div 8) \), we follow the order of operations: 1. Evaluate inside the parentheses: \( 5 - 9 = -4 \). 2. Apply the exponent: \( (-4)^2 = 16 \). 3. Divide in the next part: \( 16 \div 8 = 2 \). 4. Finally, multiply: \( 3 \times 2 = 6 \). Now, combine all the results: \( 7 + 16 + 6 = 29 \). So, the value of the expression is \( \boxed{29} \).
