0.16 Repeating x 100: What's the Result?
Have you ever wondered what happens when you multiply 0.16 repeating by 100? In this article, we'll explore the result of this calculation and provide a step-by-step explanation of how to get there.
What is 0.16 Repeating?
Before we dive into the calculation, let's take a brief moment to understand what 0.16 repeating means. A repeating decimal, also known as a recurring decimal, is a decimal number that has a sequence of digits that repeats indefinitely. In this case, 0.16 repeating means that the digits "16" repeat forever:
0.1616161616...
Multiplying by 100
Now, let's multiply 0.16 repeating by 100. To do this, we can start by multiplying 0.16 by 100:
0.16 × 100 = 16
However, this is not the final answer. Since 0.16 is a repeating decimal, we need to consider the repeating pattern. When we multiply 0.16 by 100, the repeating pattern still applies:
0.161616... × 100 = 16.161616...
The Result
So, what is the result of multiplying 0.16 repeating by 100? The answer is:
16.16
The repeating pattern of "16" continues indefinitely, but the result of the multiplication is 16.16.
Conclusion
In conclusion, multiplying 0.16 repeating by 100 results in 16.16. This calculation may seem simple, but it requires an understanding of repeating decimals and how they behave in mathematical operations. Remember, when working with repeating decimals, it's essential to consider the repeating pattern to get the correct result.
