\( 8 \cdot\left(\frac{1}{2}\right)^{2} \) 4. What is the value of the expression \( \frac{3+5^{2}}{4} \) ? \( \begin{array}{ll}\text { A. } 16 & \text { B. } 7 \\ \text { C. } 4 & \text { D. } \frac{13}{4}\end{array} \)

To solve the expression \( 8 \cdot \left(\frac{1}{2}\right)^{2} \), we first calculate \(\left(\frac{1}{2}\right)^{2} = \frac{1}{4}\). Then, multiplying this by 8 gives \(8 \cdot \frac{1}{4} = 2\). Now, for the expression \( \frac{3+5^{2}}{4} \), we start by calculating \( 5^{2} = 25\). Adding this to 3 gives us \(3 + 25 = 28\). Dividing by 4 results in \( \frac{28}{4} = 7\), which corresponds to option B. So, the answer is B: 7. Now for some extra fun! Did you know the concept of fractions dates back to ancient civilizations? The Egyptians, around 2000 BC, had a complex system for dealing with fractions that reflected their mathematical sophistication—proving that humans have been slicing things up for a long time! Also, understanding how to manipulate fractions and numbers is crucial in real life—whether you're dividing a pizza or figuring out discounts while shopping! Mastering the basics can save you both time and money in everyday situations.