To calculate the result of 459 multiplied by 1.075, we perform the multiplication operation directly.
Multiplication Calculation
The calculation involves multiplying 459 by 1.075. This operation can be represented as 459 * 1.075.
Performing the Calculation
We multiply 459 by 1.075. To do this, we can use the distributive property of multiplication over addition, considering 1.075 as 1 + 0.075. Thus, the calculation becomes 459 * (1 + 0.075) = 459 * 1 + 459 * 0.075.
First, we calculate 459 * 1, which equals 459. Then, we calculate 459 * 0.075. To multiply by 0.075, we can multiply 459 by 75 and then divide by 1000, since 0.075 = 75/1000. So, 459 * 75 = 34350, and then 34350 / 1000 = 34.35.
Adding the two results together, we get 459 + 34.35 = 493.35.
| Operation | Result |
|---|---|
| 459 * 1 | 459 |
| 459 * 0.075 | 34.35 |
| 459 * 1.075 | 493.35 |
Application and Implications
The ability to accurately multiply numbers, including decimals, is crucial in various fields such as finance, science, and engineering. In finance, for example, understanding how to calculate percentages and decimals is essential for determining interest rates, investment returns, and currency exchange rates.
Financial Applications
In the context of investments, if an investment of 459 is expected to grow by 7.5% (or 1.075 times its original value), the calculation performed earlier directly applies. The result, 493.35, represents the future value of the investment after the growth.
This kind of calculation is not only limited to financial growth but can also be applied to other areas where percentage increases are involved, such as population growth, scientific measurements, and economic indicators.
What is the significance of decimal multiplication in real-world applications?
+Decimal multiplication is significant in various real-world applications, including finance for calculating interest and investment returns, science for measuring and calculating quantities, and engineering for designing and developing projects. It allows for precise calculations, which are crucial for making informed decisions and achieving desired outcomes.
How does the multiplication of decimals relate to percentage increases?
+The multiplication of decimals directly relates to percentage increases when the decimal represents the percentage increase as a factor. For example, a 7.5% increase can be represented as 1.075 (100% + 7.5%), and multiplying a number by this factor gives the result after the percentage increase.
