Question
Type the correct answer in the box. Use numerals instead of words. Use the order of operations to evaluate this expression: \[ 7+(5-9)^{2}+3(16+8) \] The value of the expression is
Ask by Ruiz Barber. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of the expression is 95.
Solution
1. Evaluate the subtraction in the first set of parentheses:
\[
5-9=-4
\]
2. Square the result:
\[
(-4)^2 = 16
\]
3. Evaluate the addition inside the second set of parentheses:
\[
16+8=24
\]
4. Multiply by 3:
\[
3\times24=72
\]
5. Add all parts together:
\[
7+16+72=95
\]
\[
\boxed{95}
\]
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Simplify this solution Bonus Knowledge
To evaluate the expression \( 7+(5-9)^{2}+3(16+8) \), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right): 1. Start with the parentheses: - \( 5 - 9 = -4 \) - \( 16 + 8 = 24 \) 2. Substitute back into the expression: \[ 7 + (-4)^{2} + 3(24) \] 3. Evaluate the exponent: - \( (-4)^{2} = 16 \) 4. Now substitute back: \[ 7 + 16 + 3(24) \] 5. Handle the multiplication: - \( 3 \times 24 = 72 \) 6. Substitute: \[ 7 + 16 + 72 \] 7. Finally perform the addition: - \( 7 + 16 = 23 \) - \( 23 + 72 = 95 \) So, the value of the expression is \( 95 \).
