To calculate the result of 87 multiplied by 1.075, we perform the following operation: 87 * 1.075 = 93.525.
Calculation Breakdown
The calculation involves multiplying 87 by 1.075. This can be broken down into two steps for clarity: first, multiply 87 by 1, which equals 87, and then multiply 87 by 0.075, which equals 6.525. Adding these two results together gives us the final answer: 87 + 6.525 = 93.525.
Percentage Increase Interpretation
The multiplication by 1.075 can also be interpreted as an increase of 7.5% over the original value of 87. To understand this, we recognize that 1.075 is equivalent to 100% + 7.5%, or 107.5% of the original value. Therefore, multiplying 87 by 1.075 effectively increases 87 by 7.5% of its value.
| Operation | Result |
|---|---|
| 87 * 1 | 87 |
| 87 * 0.075 | 6.525 |
| 87 + 6.525 | 93.525 |
Applications in Real-World Scenarios
In various fields, such as finance, engineering, and science, calculations involving multiplication by decimals are common. For instance, in finance, a 7.5% increase could represent an interest rate or a percentage increase in the price of a commodity. In engineering, such calculations could be used to determine stresses on materials or the expansion of materials under different conditions.
Financial Application Example
Consider a scenario where an investment of 87 is expected to yield a 7.5% return. The calculation of 87 * 1.075 gives us the total value of the investment after the return, which is 93.525. This demonstrates how the initial calculation can be applied to real-world financial scenarios to predict outcomes based on percentage changes.
Understanding and being able to perform such calculations is essential for making informed decisions in these fields. The ability to accurately calculate and interpret percentage increases or decreases is a fundamental skill that underpins many professional and personal financial decisions.
What does multiplying by 1.075 represent?
+Multiplying a number by 1.075 represents an increase of 7.5% over the original value. It is equivalent to 100% (the original value) plus an additional 7.5% of that value.
How is this calculation used in real-world scenarios?
+This type of calculation is used in various real-world scenarios, including finance to calculate interest or returns on investments, in engineering to calculate material stresses or expansions, and in science to understand growth rates or chemical reactions.
