The calculation of 4.99 multiplied by 0.825 is a straightforward mathematical operation. To find the product, we simply multiply the two numbers together.
Calculation Process
The calculation process involves multiplying 4.99 by 0.825. This can be done using a calculator or by hand. When multiplying decimals, it is essential to line up the numbers correctly and perform the multiplication as you would with whole numbers, then place the decimal point in the correct position based on the total number of decimal places in the factors.
Step-by-Step Calculation
To calculate 4.99 * 0.825 step by step:
- First, multiply 4.99 by 0.825. Since 0.825 has three decimal places, we will consider the placement of the decimal point after calculating the product of the two numbers as if they were whole numbers.
- 4.99 * 0.825 = 4.11 (rounded to two decimal places for simplicity, but we will calculate precisely).
- Precise calculation without premature rounding: 4.99 * 0.825 = 4.11625.
| Factor 1 | Factor 2 | Product |
|---|---|---|
| 4.99 | 0.825 | 4.11625 |
Application and Implications
The result of 4.99 * 0.825, which equals 4.11625, can have various applications depending on the context. For instance, in commerce, this calculation could represent a discount or a tax rate applied to a purchase of $4.99. In science, it might be used in calculations involving proportions or ratios.
Real-World Examples
In real-world scenarios, such a calculation could be used in:
- Commerce: Calculating the cost of an item after a discount. For example, if an item originally priced at 4.99 is discounted by 17.5% (which is equivalent to multiplying by 0.825), the new price would be 4.11625.
- Science: Determining the volume of a substance when its concentration and a portion of the total volume are known. The calculation would involve multiplying the total volume by the concentration, similar to our initial problem.
What is the significance of precise decimal placement in calculations?
+Precise decimal placement is crucial in calculations to avoid rounding errors that can accumulate and significantly affect the outcome, especially in applications requiring high accuracy such as financial transactions, scientific research, and engineering designs.
How does the calculation of 4.99 * 0.825 apply to real-world scenarios?
+This calculation can apply to various real-world scenarios, including commerce for discount calculations, science for determining substance volumes or concentrations, and any context where proportions or percentages are involved.
