To calculate the result of 24 times 2.8334, we need to perform a simple multiplication operation.
Multiplication Calculation
The calculation involves multiplying 24 by 2.8334. This can be done using a calculator or by hand.
Step-by-Step Calculation
First, we multiply 24 by 2, which equals 48. Then, we multiply 24 by 0.8334. To do this, we can break down 0.8334 into its decimal parts for easier calculation: 0.8, 0.03, and 0.0034.
Multiplying 24 by 0.8 gives us 19.2. Multiplying 24 by 0.03 gives us 0.72. Lastly, multiplying 24 by 0.0034 gives us 0.0816. Adding these results together: 19.2 + 0.72 + 0.0816 = 19.9996, which we can round to 20 for simplicity, but we'll keep the precision for accuracy.
Now, we add the results of multiplying 24 by 2 and the precise result of multiplying 24 by 0.8334: 48 + 19.9996 = 67.9996.
| Calculation Step | Result |
|---|---|
| 24 * 2 | 48 |
| 24 * 0.8 | 19.2 |
| 24 * 0.03 | 0.72 |
| 24 * 0.0034 | 0.0816 |
| Total for 0.8334 part | 19.9996 |
| Total Result | 67.9996 |
Precision and Rounding
In many cases, the precision of the calculation may not be as critical, and rounding to a nearest whole number or to one decimal place might be sufficient. However, in scientific, engineering, or financial calculations, precision can be crucial.
Rounding the Result
If we were to round the result of 67.9996 to the nearest whole number, it would round to 68. Rounding to one decimal place gives us 68.0.
The decision to round or maintain precision depends on the context and requirements of the calculation. In this example, the precise result of multiplying 24 by 2.8334 is 67.9996, which can be rounded based on the specific needs of the application or analysis.
What is the result of multiplying 24 by 2.8334?
+The result of multiplying 24 by 2.8334 is precisely 67.9996, which can be rounded to 68 for most practical purposes.
Why is precision important in calculations?
+Precision is crucial in calculations, especially in scientific, engineering, and financial applications, because small discrepancies can lead to significant differences in outcomes, affecting the validity and reliability of the results.
