Questions: Use the order of operations to evaluate this expression. Enter the number in the green box. 5^2 - 10/5 + 2^3 = [?]

Use the order of operations to evaluate this expression. Enter the number in the green box. 5^2 - 10/5 + 2^3 = [?]
Transcript text: Use the order of operations to evaluate this expression. Enter the number in the green box. \[ 5^{2}-\frac{10}{5}+2^{3}=[?] \]
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Solution

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Solution Steps

Step 1: Evaluate the exponent \(5^{2}\)

\[ 5^{2} = 25 \]

Step 2: Evaluate the division \(\frac{10}{5}\)

\[ \frac{10}{5} = 2 \]

Step 3: Evaluate the exponent \(2^{3}\)

\[ 2^{3} = 8 \]

Step 4: Substitute the evaluated values into the expression

\[ 25 - 2 + 8 \]

Step 5: Perform the subtraction and addition

\[ 25 - 2 = 23 \] \[ 23 + 8 = 31 \]

The number in the green box is \(\boxed{31}\).

Final Answer

\(\boxed{31}\)

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