To calculate the result of 1759 multiplied by 1.075, we can follow a straightforward mathematical process. First, let's understand the operation: multiplication of a whole number by a decimal number. The decimal number, 1.075, is 7.5% greater than 1, which can also be represented as 100% + 7.5% = 107.5% of the original number.
Calculation Process
The calculation involves multiplying 1759 by 1.075. This can be done using a calculator or manually. For manual calculation, we multiply 1759 by 1 (which gives us 1759), then by 0.075 (which is the decimal part of 1.075), and finally add these two results together.
Manual Calculation Steps
1. Multiply 1759 by 1: 1759 * 1 = 1759
2. Multiply 1759 by 0.075: 1759 * 0.075 = 132.0 (rounded to one decimal place for simplicity, but we’ll keep the precision for accuracy: 131.925)
3. Add the results of step 1 and step 2 together: 1759 + 131.925 = 1890.925
Thus, the result of 1759 multiplied by 1.075 is 1890.925. This calculation can be instantly verified with a calculator for accuracy.
| Operation | Result |
|---|---|
| 1759 * 1 | 1759 |
| 1759 * 0.075 | 131.925 |
| 1759 + 131.925 | 1890.925 |
Practical Applications
This kind of calculation is common in various fields such as finance, where it might represent an increase in value or price by 7.5%, or in science, where it could be part of a larger formula to calculate quantities or concentrations. Understanding how to perform such calculations efficiently and accurately is crucial for making informed decisions or deriving meaningful conclusions.
Financial Example
Suppose you have an investment worth 1759, and it appreciates by 7.5% over a year. The calculation above shows that its new value would be 1890.925, indicating a gain of $131.925.
What does multiplying by 1.075 represent?
+Multiplying a number by 1.075 represents an increase of 7.5% from the original value. It’s equivalent to taking 100% of the original value (which is multiplying by 1) and then adding an additional 7.5% of the original value.
How is this calculation used in real-life scenarios?
+This calculation is used in various real-life scenarios, including financial investments to calculate gains, in retail to apply discounts or markups, and in scientific research to calculate concentrations or quantities after a percentage change.
