What Is The Decimal For Half Of 1/64?
Table of Contents :
To understand what the decimal for half of 1/64 is, we need to break this problem down into smaller steps. In this article, we will delve into fractions, decimals, and their relationships. We’ll start by understanding the fraction 1/64, then we will find half of that, and finally, convert that result into a decimal format. Let’s explore this mathematical journey! 📊
Understanding Fractions
A fraction is a way of representing a part of a whole. It consists of two numbers: the numerator (the number above the line) and the denominator (the number below the line). In the case of 1/64:
- Numerator: 1 (this indicates the number of parts we have)
- Denominator: 64 (this indicates the total number of equal parts the whole is divided into)
So, 1/64 means that we have one part out of sixty-four equal parts.
Finding Half of 1/64
Now, to find half of a fraction, we can multiply the numerator by 1 and the denominator by 2. Mathematically, this can be expressed as follows:
[ \text{Half of } \frac{1}{64} = \frac{1 \times 1}{64 \times 2} = \frac{1}{128} ]
Thus, half of 1/64 is 1/128. 🥳
Converting 1/128 into a Decimal
Now that we know that half of 1/64 is 1/128, the next step is to convert this fraction into a decimal. To convert a fraction into a decimal, we divide the numerator by the denominator:
[ \frac{1}{128} = 1 ÷ 128 ]
When you perform this division, you will find that:
1 ÷ 128 = 0.0078125
So, 1/128 as a decimal is 0.0078125. 🎉
Summary Table
Here’s a quick summary of what we’ve learned:
<table> <tr> <th>Step</th> <th>Calculation</th> <th>Result</th> </tr> <tr> <td>1</td> <td>Finding half of 1/64</td> <td>1/128</td> </tr> <tr> <td>2</td> <td>Converting 1/128 to decimal</td> <td>0.0078125</td> </tr> </table>
Conclusion
To summarize, the decimal for half of 1/64 is 0.0078125. Understanding the relationship between fractions and decimals is essential in mathematics and is a skill that can aid in various real-world applications, whether in finance, cooking, or measuring distances. Next time you come across fractions, remember that converting them to decimals is just a few simple steps away! Keep practicing, and numbers will become your friends! 🌟