To calculate the result of 349.17 multiplied by 0.29, we follow the standard procedure for multiplication.
Multiplication Process
First, we multiply the numbers as if they were whole numbers, ignoring the decimal points for the moment. So, we calculate 34917 * 29.
Calculation Steps
The calculation involves multiplying each digit of one number by the other number and then summing up the results, taking into account the place value of each digit.
The result of 34917 * 29 is calculated as follows:
34917 * 20 = 698340
34917 * 9 = 314253
Then, we add these two results together: 698340 + 314253 = 1012593.
Applying Decimal Places
Since we initially ignored the decimal places, we now need to apply them correctly to our result. The original numbers were 349.17 and 0.29. The total number of decimal places in these two numbers is 2 + 2 = 4.
Therefore, our result, 1012593, needs to be adjusted to reflect these decimal places. We place the decimal point 4 places from the right, resulting in 101.2593.
| Operation | Result |
|---|---|
| 349.17 * 0.29 | 101.2593 |
In conclusion, the result of multiplying 349.17 by 0.29 is 101.2593.
What is the importance of considering decimal places in multiplication?
+Considering decimal places is crucial because it ensures the accuracy of the result. Incorrect placement of the decimal point can lead to significant errors, especially in scientific, financial, and engineering applications where precision is key.
How do you handle multiplication of decimal numbers in a real-world scenario?
+In real-world scenarios, such as calculating costs, scientific measurements, or financial transactions, it’s essential to maintain precision by correctly handling decimal places. This often involves using calculators or software that can accurately perform decimal arithmetic, reducing the chance of human error.
