What is 0.751 as a percentage?
The Correct Answer and Explanation is :
To convert the decimal 0.751 into a percentage, follow these steps:
- Multiply the decimal by 100:
[
0.751 \times 100 = 75.1
] - Add the percentage symbol:
So, 0.751 as a percentage is 75.1%.
Explanation:
To convert a decimal into a percentage, you are essentially shifting the decimal point two places to the right. This is because the term “percent” means “per hundred” (from the Latin per centum), so converting to a percentage involves multiplying by 100. This multiplication results in a representation of the number as parts out of 100.
For example:
- 0.1 becomes 10% after multiplying by 100.
- 0.01 becomes 1% after multiplying by 100.
Here’s why the multiplication works:
- When you multiply a decimal by 100, you are increasing its value relative to the scale of 100. So, multiplying 0.751 by 100 means you are converting it into “parts per hundred.”
- The decimal 0.751 represents 751 thousandths, and multiplying by 100 gives us 75.1, meaning 75.1 out of 100.
Why it’s important:
Understanding how to convert decimals to percentages is crucial in many fields, including finance, statistics, and science, where expressing quantities as a percentage allows for easier comparison, analysis, and communication. In practical terms, percentages are often used to describe everything from interest rates to data comparisons.
Thus, the decimal 0.751 becomes 75.1%, meaning 75.1 out of every 100 units of whatever is being measured.