Write 0.307 as a percentage
The Correct Answer and Explanation is :
To convert the decimal 0.307 into a percentage, you multiply it by 100 and then add the percent symbol (%). Here’s how the calculation works:
[
0.307 \times 100 = 30.7
]
Thus, 0.307 as a percentage is 30.7%.
Explanation of Decimal to Percentage Conversion
Understanding how to convert decimals to percentages is essential in various fields, including mathematics, finance, and statistics. A decimal represents a part of a whole, while a percentage expresses that part in relation to 100. The conversion process is straightforward: you multiply the decimal by 100 to determine how many parts of 100 the decimal represents.
Step-by-Step Conversion
- Identify the Decimal: In this case, the decimal we want to convert is 0.307. This number signifies 307 thousandths, or 307 out of 1000.
- Multiply by 100: To convert the decimal into a percentage, we multiply it by 100. This step effectively shifts the decimal point two places to the right. For instance, moving the decimal in 0.307 two places to the right results in 30.7.
- Add the Percentage Sign: After the multiplication, it’s crucial to denote that the number now represents a percentage by adding the % symbol. Therefore, 30.7 becomes 30.7%.
Applications
Converting decimals to percentages is useful in real-life scenarios such as calculating discounts, determining interest rates, or analyzing statistical data. For example, if a product costs $100 and is on sale for $30.70 off, you can express this discount as 30.7% of the original price. This type of conversion helps consumers and businesses understand and compare values effectively, enabling better financial decision-making.
In summary, converting decimals to percentages is a simple yet powerful tool for expressing numerical information in a universally understood format.