Convert the following percentage to decimal: 3.2\%
The Correct Answer and Explanation is:
Correct Answer:
3.2% as a decimal is 0.032
Explanation:
To convert a percentage to a decimal, use a simple mathematical rule: divide the percentage by 100. This is because the word “percent” means “per hundred.” So, 3.2% literally means 3.2 per 100.
Start with the original percentage:
3.2%
To convert it to a decimal, divide by 100:3.2÷100=0.0323.2 \div 100 = 0.0323.2÷100=0.032
Alternatively, move the decimal point two places to the left. This is a shortcut for dividing by 100. Starting from 3.2:
- Move the decimal one place left: 0.32
- Move it one more place: 0.032
Thus, 3.2% becomes 0.032 in decimal form.
This process applies to all percentages, regardless of whether they are whole numbers or decimals. For example:
- 50% = 0.50
- 25% = 0.25
- 7.5% = 0.075
- 0.6% = 0.006
Converting percentages to decimals is essential in many areas of mathematics, especially in algebra, statistics, and finance. It allows easier computation when solving equations, calculating interest, or working with probabilities.
For example, to find 3.2% of a number, first convert 3.2% to a decimal (0.032), then multiply it by the number. If calculating 3.2% of 250:0.032×250=80.032 \times 250 = 80.032×250=8
This method ensures accurate and consistent results, especially when dealing with formulas or spreadsheets where numbers must be in decimal form.
In conclusion, converting 3.2% to a decimal simply involves dividing by 100 or moving the decimal point two places to the left, resulting in 0.032.
