The calculation of 2949 multiplied by 1.075 is a straightforward mathematical operation. To find the answer, we simply multiply the two numbers together. This can be done using a calculator, a computer, or even manually for those familiar with multiplication techniques.
Multiplication Process
The process of multiplying 2949 by 1.075 involves multiplying the whole number part (2949) by the decimal part (1.075) and then combining the results. When multiplying decimals, it’s essential to remember that the decimal point in the product is placed by counting the total number of decimal places in the factors. In this case, since 1.075 has three decimal places, we will ensure our final product reflects this.
Calculation Steps
To calculate 2949 * 1.075, we follow these steps:
- First, multiply 2949 by 1 (the whole number part of 1.075), which equals 2949.
- Then, multiply 2949 by 0.075 (the decimal part of 1.075), which equals 220.725.
- Add the results of the two multiplications together: 2949 + 220.725 = 3169.725.
Therefore, the result of multiplying 2949 by 1.075 is 3169.725.
| Calculation Component | Result |
|---|---|
| Multiplication of whole number part | 2949 |
| Multiplication of decimal part | 220.725 |
| Total | 3169.725 |
Application and Implications
The multiplication of numbers like 2949 by 1.075 can have various applications in real-world scenarios, including but not limited to, financial calculations (such as calculating a 7.5% increase), scientific measurements (where a 7.5% factor might be relevant), and educational contexts (to teach multiplication with decimals).
Real-World Examples
For instance, if a product costs 2949 and is subject to a 7.5% sales tax, the total cost would be the product's price plus the sales tax, which is 2949 * 1.075 = $3169.725. This demonstrates how such a calculation can be applied in everyday transactions to determine total costs.
In conclusion, understanding how to perform decimal multiplications accurately is essential for various professional and personal tasks. The calculation of 2949 * 1.075 equals 3169.725, showcasing the importance of precise arithmetic in both theoretical and practical contexts.
What is the result of multiplying 2949 by 1.075?
+The result of multiplying 2949 by 1.075 is 3169.725.
How is the multiplication of decimals performed?
+Multiplication of decimals is performed similarly to the multiplication of whole numbers, with the added step of correctly placing the decimal point in the product based on the total number of decimal places in the factors.
