To calculate the result of 4045 multiplied by 1.075, we follow the basic rules of multiplication. This operation involves multiplying the number 4045 by 1.075. The calculation is straightforward and can be performed using a calculator or by hand.
Step-by-Step Calculation
We start by setting up the multiplication problem: 4045 * 1.075. To multiply these numbers, we can first multiply 4045 by 1 (which leaves the number unchanged), and then multiply 4045 by 0.075, and finally add these two results together.
Multiplication by 1
Multiplying 4045 by 1 gives us 4045. This is because any number multiplied by 1 is equal to itself.
Multiplication by 0.075
To multiply 4045 by 0.075, we perform the multiplication: 4045 * 0.075 = 303.375. This result comes from multiplying 4045 by 75 (which equals 303375) and then dividing by 100 to account for the decimal point in 0.075.
Adding the Results Together
Now, we add the results of the two multiplications together: 4045 + 303.375 = 4348.375. Therefore, the result of multiplying 4045 by 1.075 is 4348.375.
| Calculation Step | Result |
|---|---|
| Multiply 4045 by 1 | 4045 |
| Multiply 4045 by 0.075 | 303.375 |
| Add the results together | 4348.375 |
In summary, the calculation of 4045 multiplied by 1.075 equals 4348.375. This result is obtained through straightforward multiplication and addition operations.
What is the purpose of breaking down the multiplication into steps?
+Breaking down the multiplication into steps helps in understanding the process and can be useful for manual calculations or when explaining the concept to others. However, for most practical purposes, using a calculator or computational tool is the quickest way to obtain the result.
Can this calculation be applied to other multiplication problems?
+Yes, the principle of breaking down a multiplication problem into simpler steps can be applied to other multiplication problems, especially when dealing with decimals. It’s a useful technique for understanding and manually calculating the results of multiplication operations.
