Converting a percentage into its equivalent decimal form involves understanding the relationship between these four entities: percentage, decimal, fraction, and division by 100. Percentage represents a portion of a whole, while decimal signifies a specific value using the place value system. The fraction form of a percentage is derived by dividing the numerator by the denominator. This division by 100 is crucial for converting percentages to decimals accurately, as it transforms the percentage into a decimal value between 0 and 1.
Converting Percentages to Decimals
Converting percentages to decimals is a straightforward process that can be easily mastered. Here’s a step-by-step guide:
Step 1: Divide the Percentage by 100
Percentages are expressed as parts of 100. To convert a percentage to a decimal, divide the percentage by 100.
- Example: Convert 50% to a decimal.
50% / 100 = 0.5
Step 2: Place the Decimal Point
The decimal point in the decimal should be placed at the end of the whole number result obtained from Step 1.
- Example: 0.5
Table of Percentage-Decimal Equivalents:
| Percentage | Decimal |
|---|---|
| 1% | 0.01 |
| 5% | 0.05 |
| 10% | 0.10 |
| 25% | 0.25 |
| 50% | 0.50 |
| 75% | 0.75 |
| 90% | 0.90 |
| 100% | 1.00 |
Tips:
- If the percentage has a decimal point, convert the decimal portion to a fraction first.
- For example, 25.5% = 25 1/2% = 25.5/100 = 0.255
- You can also use a calculator to perform the division.
Question 1:
How can you convert a percent to a decimal?
Answer:
To convert a percent to a decimal, divide the percent by 100.
Question 2:
What is the formula for converting a percent to a decimal?
Answer:
Decimal = Percent / 100
Question 3:
Can you explain the process of converting a percent to a decimal in detail?
Answer:
To convert a percent to a decimal, follow these steps:
- Move the decimal point two places to the left.
- If necessary, add zeros to fill in any empty spaces.
- Drop the percent sign.
And there you have it, folks! Converting percentages into decimals has never been easier. I hope this guide has been helpful in demystifying the process for you. Remember, practice makes perfect, so don’t be afraid to give it a few tries until you get the hang of it. Thanks for reading, and be sure to swing by again for more mind-bending math adventures!