Write this decimal a percent.
0.82
[?]%
The Correct Answer and Explanation is :
To convert the decimal 0.82 to a percent, follow these steps:
Step 1: Multiply by 100
To convert a decimal to a percentage, you multiply the decimal number by 100. This is because “percent” means “per 100,” so multiplying by 100 shifts the decimal point two places to the right.
[
0.82 \times 100 = 82
]
Step 2: Add the Percent Symbol
Once you’ve multiplied the decimal by 100, you add the percent symbol (%) to indicate that the result is a percentage.
[
0.82 = 82\%
]
Thus, 0.82 as a percentage is 82%.
Explanation:
Converting decimals to percentages is a simple and commonly used mathematical process. When you see a decimal, such as 0.82, it represents a part of a whole number. In other words, it indicates that something is 82 out of 100, or 82 hundredths. This is the essence of percentages, which are based on the idea of dividing something into 100 equal parts.
By multiplying the decimal by 100, you’re essentially determining how much of the total (100%) the decimal represents. For example, if you scored 0.82 on a test, this means that you earned 82 out of 100 points, which is 82%. It’s a simple way to express a fraction or ratio in a more understandable form.
For some clarity:
- Decimal form: 0.82 means “82 out of 100.”
- Percentage form: 82% means “82 per 100.”
In daily life, percentages are used frequently in finance, statistics, and even in everyday comparisons, such as understanding sales discounts or interest rates. The ability to convert between decimals and percentages is important for tasks like budgeting, interpreting data, or calculating discounts.
In summary, converting a decimal to a percentage involves multiplying by 100 and adding the percent symbol. For 0.82, this results in 82%.