Write 67.98% as a decimal.
The correct answer and explanation is:
✅ Correct Answer:
67.98% as a decimal is 0.6798
🧠 Explanation (Approx. 300 Words):
To convert 67.98% to a decimal, we need to understand what percent means.
The word “percent” comes from the Latin phrase “per centum,” which means “per hundred.” So when you see a number followed by a percent sign (%), it means that number out of 100. For example:
- 50% means 50 out of 100 or 50 ÷ 100, which is 0.50.
- 25% means 25 ÷ 100 = 0.25.
Now let’s apply the same idea to 67.98%: 67.98%=67.9810067.98\% = \frac{67.98}{100}
To divide by 100, move the decimal point two places to the left. This is a quick shortcut when converting percentages to decimals:
- Start with 67.98
- Move the decimal two places to the left → becomes 0.6798
So, 67.98%=0.679867.98\% = 0.6798
💡 Why Is This Important?
Understanding how to convert percentages to decimals is essential in many areas of math, science, and real life. For example:
- When calculating discounts: A 25% discount on a $100 item means you save 0.25 × $100 = $25.
- In statistics or data analysis: If 67.98% of people agree with a statement, then you’re working with 0.6798 when doing precise calculations.
- In finance: Interest rates, loan repayments, and profit margins often use percentages that must be converted to decimals for accurate math.
🔁 Summary:
- Percent to Decimal Rule: Divide by 100 (move the decimal two places left).
- 67.98% → 0.6798
- This makes it easier to multiply, calculate, and understand in practical applications.
✅ Final Answer: 0.6798