- Convert 15% to a decimal by dividing by 100, which results in 0.15.
- Multiply the decimal by 20 to find the required percentage value.
- The correct expression is \(0.15 \times 20\).
- Final Answer: \(\boxed{0.15 \times 20}\).
Explanation
- Convert percentage to decimal
To find the value representing 15% of 20, we first express the percentage as a decimal. A percentage, by definition, is a ratio out of 100. Thus, \(15\%\) is equivalent to \(\frac{15}{100}\). Performing this division, we get \(15 \div 100 = 0.15\).
- Formulate the expression
To calculate a percentage of a given number, we multiply the decimal equivalent of the percentage by that number. In this case, we want to find 15% of 20, which is equivalent to finding 0.15 of 20. This is represented by the mathematical operation \(0.15 \times 20\).
- Final conclusion
Comparing our derived expression, \(0.15 \times 20\), with the given options, we see that it matches the second choice. The expression \(0.15 \times 20\) correctly calculates 15% of 20. The other options involve different powers of 10 or different multipliers, which would lead to incorrect values (e.g., \(1.5 \times 20 = 30\) and \(15 \times 20 = 300\)). Therefore, the correct expression is \(\boxed{0.15 \times 20}\).
Examples
Percentages are used in everyday life, such as when calculating discounts on items during a sale. If a store offers a 15% discount on a \(\$20\) item, you can calculate the discount amount by multiplying the original price by 0.15: \(\$20 \times 0.15 = \$3\). This helps you quickly determine how much you will save on your purchase.