The Mysterious Case of 1/2 x 1/2 x 1/2 x 1/2
Have you ever wondered what happens when you multiply fractions together? Specifically, what is the result of multiplying 1/2 by itself four times? Let's dive into the world of fractions and find out.
The Problem: 1/2 x 1/2 x 1/2 x 1/2
The problem at hand is to multiply the fraction 1/2 by itself four times. To do this, we need to follow the order of operations (PEMDAS) and multiply the fractions one by one.
Step 1: 1/2 x 1/2
1/4
The first step is to multiply 1/2 by 1/2, which gives us 1/4.
Step 2: 1/4 x 1/2
1/8
Next, we multiply 1/4 by 1/2, which gives us 1/8.
Step 3: 1/8 x 1/2
1/16
We continue by multiplying 1/8 by 1/2, resulting in 1/16.
The Final Answer:
1/16
After multiplying 1/2 by itself four times, we arrive at the final answer: 1/16.
Conclusion
In this article, we explored the result of multiplying 1/2 by itself four times. By following the order of operations and multiplying the fractions one by one, we arrived at the final answer: 1/16. This exercise demonstrates the importance of following the order of operations and the properties of fractions when performing mathematical operations.