To find the solution to the multiplication problem 11.44 x 0.015, we need to follow the standard procedure for multiplying decimal numbers.
Multiplication Procedure
The multiplication of two decimal numbers involves multiplying them as if they were whole numbers and then placing the decimal point in the correct position based on the total number of decimal places in the two original numbers.
Step-by-Step Calculation
First, we multiply 11.44 by 0.015. To simplify the calculation, we can move the decimal point in 0.015 three places to the right, turning it into 15, but we must then move the decimal point in our final answer three places to the left to compensate.
11.44 * 15 = 171.6
Since we moved the decimal point three places to the right in 0.015, we now move it three places to the left in 171.6, resulting in 0.1716.
| Operation | Result |
|---|---|
| Multiplication without decimals | 11.44 * 15 = 171.6 |
| Adjusting for decimals | 0.1716 |
Verification
To verify our calculation, we can use a calculator or perform the multiplication manually, ensuring we correctly account for the decimal places.
Using a calculator: 11.44 x 0.015 = 0.1716
Importance of Precision
In mathematical and scientific calculations, precision is crucial. Small errors in decimal placement can lead to significant discrepancies in results, especially in applications like engineering, finance, and physics.
What is the most common mistake in multiplying decimal numbers?
+The most common mistake is forgetting to adjust the decimal point correctly after multiplication. This can lead to answers that are incorrect by a factor of 10, 100, or more, depending on the number of decimal places involved.
In conclusion, the solution to 11.44 x 0.015 is 0.1716, demonstrating the importance of correctly handling decimal places in mathematical operations to ensure accurate results.
