Question

evaluate.
\frac{(8 - 2^2 + 1)^2}{1 \div 5 \cdot \frac{1}{2}}
options: 250, 50, 2.5, 1

Explanation:

Step1: Calculate the numerator

First, calculate the value inside the parentheses in the numerator:

$$\begin{align*} 8 - 2^{2}+1&=8 - 4 + 1\\ &=4 + 1\\ &=5 \end{align*}$$

Then square the result: $5^{2}=25$

Step2: Calculate the denominator

Calculate the denominator $1\div5\times\frac{1}{2}$. According to the order of operations (from left - to - right for division and multiplication), $1\div5=\frac{1}{5}$, and then $\frac{1}{5}\times\frac{1}{2}=\frac{1}{10}$

Step3: Calculate the final result

Now, divide the numerator by the denominator: $25\div\frac{1}{10}=25\times10 = 250$

Answer:

250