To calculate the result of 9.779 multiplied by 0.21, we follow the standard procedure of multiplication. This operation involves multiplying the numbers as if they were whole, and then placing the decimal point in the product based on the total number of decimal places in the factors.
Multiplication Procedure
First, we multiply 9.779 by 0.21. To do this, it’s helpful to think of 0.21 as 21⁄100 or to simply multiply as usual and then adjust the decimal place accordingly.
Step-by-Step Calculation
1. Multiply 9.779 by 21 (since 0.21 is the same as 21 hundredths): 9.779 * 21 = 205.359.
2. Since we are multiplying by 0.21, which has two decimal places (indicating hundredths), we need to adjust our product to reflect this. Thus, the actual product of 9.779 and 0.21 would be 2.05359 (because we’re essentially dividing the product by 100 to adjust for the hundredths).
| Operation | Result |
|---|---|
| 9.779 * 21 | 205.359 |
| Adjust for decimal places | 2.05359 |
The calculation yields a result of 2.05359. Rounding this to a more manageable form depends on the context in which the calculation is being used. For most purposes, rounding to two decimal places (2.05) would be sufficient, but it's always best to retain as much precision as possible until the final step of your calculations.
Practical Application
This kind of calculation can be applied in various real-world scenarios, such as calculating the cost of materials for a project, determining the area of a space when one dimension is a fraction of a unit, or finding the volume of a container that has dimensions in decimal form.
Example Use Case
Imagine you are a carpenter and need to calculate the total cost of lumber for a project. If one piece of lumber costs $9.779 and you need 0.21 of this piece for your project, the calculation above gives you the cost of the lumber you’ll use.
How do I adjust the decimal place in the product of a multiplication problem involving decimals?
+To adjust the decimal place, count the total number of decimal places in the factors and place the decimal point in the product so that it has the same number of decimal places as the total count from the factors. For example, if you multiply 3.45 by 0.22, the total decimal places in the factors are 4 (2 from 3.45 and 2 from 0.22), so the product should have 4 decimal places.
In conclusion, the calculation of 9.779 multiplied by 0.21 results in 2.05359, a straightforward operation that requires attention to the placement of the decimal point in the product. Understanding how to perform and apply such calculations is fundamental in various mathematical and real-world contexts.
