How do you write 0.66 as a percentage
The Correct Answer and Explanation is:
To convert the decimal 0.66 to a percentage, you follow a simple mathematical process. Here’s the step-by-step breakdown:
- Understand what a percentage is: A percentage represents a number out of 100. It’s a way of expressing a fraction or a decimal as a portion of 100. For example, 50% means 50 out of 100.
- Multiply the decimal by 100: To convert a decimal to a percentage, you multiply the decimal number by 100. This is because percentages are based on a scale of 100. The formula for this is: [
\text{Percentage} = \text{Decimal} \times 100
] - Apply this to 0.66: [
0.66 \times 100 = 66
] - Add the percentage symbol: After performing the multiplication, simply add the percentage symbol (%) to the result. Thus, 0.66 as a percentage is: [
66\%
]
Explanation of the Process:
The reason we multiply the decimal by 100 is that the term “percent” literally means “per hundred.” So, when we express a number as a percentage, we are showing how many parts out of 100 that number represents. The decimal number 0.66 means 66 out of 100 when scaled up by a factor of 100.
For example, consider the decimal 0.25. To convert it to a percentage, you multiply 0.25 by 100, which equals 25%. This shows that 0.25 is equivalent to 25 out of every 100 parts.
Similarly, if we take a smaller decimal, like 0.02, multiplying it by 100 gives us 2%. This means 0.02 is equivalent to 2 out of every 100 parts.
Practical Use:
Converting decimals to percentages is useful in various fields like finance, statistics, and education. For example, if a student scores 0.66 on a test, expressing this score as 66% can give a clearer understanding of their performance in relation to the maximum score possible.