To calculate the result of .2 multiplied by 28.40, we follow the basic rules of multiplication. The operation is as follows: .2 * 28.40.
Multiplication Process
We multiply .2 by 28.40. This operation involves multiplying the decimal .2 by the whole number part of 28 (which is 28) and then by the decimal part (.40), and then combining these products.
Step-by-Step Calculation
First, we multiply .2 by 28, which equals 5.6. Then, we multiply .2 by .40, which equals .08. Adding these two results together gives us 5.6 + .08 = 5.68.
| Operation | Result |
|---|---|
| .2 * 28 | 5.6 |
| .2 * .40 | .08 |
| Total | 5.68 |
The calculation of .2 multiplied by 28.40 results in 5.68. This type of multiplication is fundamental in various applications, including finance (for calculating percentages of totals), science (for determining quantities of substances), and engineering (for scaling designs or calculating material needs).
Applications and Implications
In real-world scenarios, such calculations are crucial. For instance, if you’re calculating a discount of 20% (which is .20 when expressed as a decimal) on an item priced at 28.40, the discount amount would be .20 * 28.40 = 5.68. This means you would pay 28.40 - 5.68 = $22.72 for the item after applying the discount.
Financial Example
In a financial context, understanding how to calculate percentages or decimals of totals is vital for managing budgets, applying discounts, or determining interest payments. For example, if a bank offers a 20% interest rate on a savings account with 28.40, the interest earned would be .20 * 28.40 = 5.68 over the specified period, making the total 28.40 + 5.68 = $34.08.
These calculations are straightforward but critical for making informed decisions in personal finance, business operations, and other fields where numerical accuracy directly impacts outcomes.
What is the purpose of calculating .2 multiplied by 28.40?
+The purpose can vary, but common applications include calculating discounts, interest rates, or scaling quantities in various professional and personal contexts. For instance, it could be used to find 20% of a total amount, which is a common percentage used in discounts, tips, or interest calculations.
How does the calculation apply to real-world scenarios?
+In real-world scenarios, this calculation can apply to any situation where you need to find a percentage of a total. Examples include calculating sales tax, determining the amount of a discount, or finding the interest earned on an investment. The key is understanding that .2 represents 20%, which is a common rate for many transactions and calculations.
In conclusion, the calculation of .2 multiplied by 28.40 yields 5.68, a result that can be applied in numerous contexts, including finance, commerce, and personal budgeting. Understanding how to perform such calculations accurately is essential for making informed decisions and navigating various numerical challenges encountered in daily life and professional settings.
