To calculate 1121.25 multiplied by 0.27, you can follow a straightforward multiplication process. This operation involves multiplying the numbers as you would with whole numbers, but then you need to consider the placement of the decimal point in the product.
Multiplication Process
First, multiply 1121.25 by 27 (ignoring the decimal in 0.27 for now), and then adjust the decimal place in the product accordingly.
Step-by-Step Calculation
1. Multiply 1121.25 by 27:
1121.25 * 27 = 30272.25
2. Since we initially ignored the decimal in 0.27, we now need to adjust the decimal place in the product. The decimal in 0.27 is two places to the left, indicating we are dealing with hundredths. Thus, the product should reflect this by placing the decimal two places to the left from where it is in 30272.25.
3. Adjust the decimal place:
30272.25 becomes 302.7225
| Operation | Result |
|---|---|
| 1121.25 * 27 | 30272.25 |
| Adjust for decimal in 0.27 | 302.7225 |
The final result of multiplying 1121.25 by 0.27 is 302.7225.
What is the significance of correctly placing the decimal point in multiplication involving decimals?
+Correctly placing the decimal point is crucial because it affects the magnitude of the result. Incorrect placement can lead to significant errors, making the difference between a correct and completely incorrect answer.
How does the multiplication of decimals relate to real-world applications?
+Multiplication of decimals is used in numerous real-world applications, including finance (calculating interest or investments), science (measuring quantities), and everyday commerce (calculating prices or discounts). Accurate decimal multiplication is vital for precise calculations in these fields.
