How do you write 67% as a decimal?
The Correct Answer and Explanation is :
To convert 67% to a decimal, you divide 67 by 100. The percentage symbol “%” indicates “per 100,” so dividing by 100 shifts the decimal point two places to the left.
Here’s the process:
- Start with the percentage value: 67%
- Remove the percentage symbol and divide by 100:
[
67 \div 100 = 0.67
]
So, 67% as a decimal is 0.67.
Explanation:
Percentages are a way of expressing a number as a fraction of 100. The word “percent” comes from the Latin word per centum, meaning “by the hundred.” When you see a percentage, it means “out of 100,” so converting a percentage to a decimal is a simple process of dividing by 100 or moving the decimal point two places to the left.
For example:
- 50% is equal to 50 ÷ 100 = 0.50
- 1% is equal to 1 ÷ 100 = 0.01
- 200% is equal to 200 ÷ 100 = 2.00
This is useful in many contexts, such as in financial calculations, statistics, or when you are interpreting data. When you convert percentages to decimals, it makes it easier to work with numbers in mathematical equations, particularly when you’re multiplying or dividing.
Why it’s important:
Understanding how to convert between percentages and decimals is essential for many real-world applications, such as:
- Calculating interest rates in finance
- Analyzing statistical data
- Working with proportions and ratios in mathematics
The same rule applies to any percentage: divide by 100 or move the decimal point two places to the left. If you encounter a percentage less than 1%, such as 0.75%, you would convert it by dividing by 100, which results in 0.0075. This method keeps the conversions simple and ensures accuracy.