The multiplication of 26.994 by 6 is a straightforward mathematical operation that can be solved using basic arithmetic principles. To find the product, we simply multiply the two numbers together. In this case, we have a decimal number, 26.994, being multiplied by an integer, 6.
Multiplication Process
To solve this multiplication problem, we follow the standard procedure for multiplying a decimal by an integer. First, we ignore the decimal point in 26.994 and multiply 26994 by 6. Then, we count the total number of decimal places in the original decimal number and apply that to our product.
Step-by-Step Calculation
1. Multiply 26994 by 6: 26994 * 6 = 161964.
2. Count the decimal places in 26.994: There are 3 decimal places.
3. Apply the decimal places to the product: Since there are 3 decimal places in the original number, our product will also have 3 decimal places, resulting in 161.964.
| Operation | Result |
|---|---|
| 26994 * 6 | 161964 |
| Apply decimal places | 161.964 |
Verification and Application
The result of multiplying 26.994 by 6 can be verified through division. If we divide 161.964 by 6, we should get back to 26.994, confirming our multiplication result is correct.
Additionally, understanding how to perform such multiplications is crucial in various mathematical and real-world applications, including finance, science, and engineering, where precise calculations involving decimals are necessary.
Real-World Applications
In real-world scenarios, multiplying decimals by integers is common in calculations involving money, measurement, and scientific data. For instance, calculating the total cost of items, determining the area of a space, or computing scientific measurements all may involve multiplying decimal numbers by integers.
- Financial calculations: Multiplying the cost per unit of an item by the number of units purchased.
- Scientific measurements: Calculating the volume or area of objects based on decimal measurements.
- Engineering: Designing structures or machines requires precise calculations involving decimals and integers.
What is the rule for multiplying decimals by integers?
+When multiplying a decimal by an integer, first multiply the numbers as if the decimal were an integer, then apply the decimal places based on the original decimal number.
Why is it important to correctly apply decimal places in multiplication results?
+Correctly applying decimal places ensures the accuracy of calculations, which is crucial in applications where precision is key, such as finance, science, and engineering.
