\[ 200 \times 0.15 = 30 \]

["Understanding Why 200 × 0.15 Equals 30: A Simple Math Breakdown", "When you encounter the equation 200 × 0.15 = 30, it’s more than just a basic multiplication problem—it’s a clear example of how percentages simplify everyday math. Whether you're budgeting, calculating discounts, or analyzing data, understanding this formula helps build essential numerical confidence.", "### Breaking Down the Equation", "To solve 200 × 0.15, start by recognizing that 0.15 represents 15%. In math, percentages are simply fractions out of 100, so:", "- 0.15 = 15/100 = 15%", "Now multiply:", "[\n200 \ imes 0.15 = 200 \ imes \frac{15}{100} = \frac{200 \ imes 15}{100} = \frac{3000}{100} = 30\n]", "Alternatively, without converting to a fraction:", "[\n200 \ imes 0.15 = 200 \ imes \left(\frac{15}{100}\right) = 200 \ imes 0.1 + 200 \ imes 0.05 = 20 + 10 = 30\n]", "### Real-World Applications", "This type of calculation is incredibly useful in daily life. For example:", "- Shopping Savings: If a $200 item has a 15% discount, you calculate 15% of $200 to find you save $30.\n- Budgeting: Multiplying a total amount by a percentage (like 15%) helps estimate budget needs.\n- Statistics: Percentage calculations are fundamental in analyzing survey results, performance metrics, and more.", "### Why Is This Calculation So Important?", "Understanding multiplication with decimals and percentages like 200 × 0.15 = 30 builds a foundation for more complex math, strengthens financial literacy, and supports quick, accurate decision-making in both personal and professional contexts.", "---", "In summary:\n200 multiplied by 0.15 equals 30 because 0.15 stands for 15%, and multiplying any number by 15% means finding 15% of that number. This simple operation unlocks powerful real-world problem-solving skills.", "Whether you're a student, professional, or everyday planner, mastering such calculations ensures you’re always one step ahead. Start practicing today—you’ll be amazed at how easy percentages become!", "Keywords: 200 times 0.15, 200 × 0.15 = 30, percentage calculation, math basics, math practice, financial math, discount calculator, 15% of 200, how to multiply decimals, real-life math examples"]