To calculate the result of 11.44 multiplied by 0.015, we follow the standard procedure of multiplication.
Multiplication Process
We multiply each digit of the first number (11.44) by the second number (0.015), taking into account the decimal places.
Step-by-Step Calculation
First, we ignore the decimal point and multiply 1144 by 15.
1144 * 10 = 11440
1144 * 5 = 5720
Adding these together: 11440 + 5720 = 17160
Since we ignored the decimal point and the second number (0.015) has three digits after the decimal, we place the decimal point in our result three places from the right, resulting in 0.1716.
| Operation | Result |
|---|---|
| 11.44 * 0.015 | 0.1716 |
Understanding Decimal Multiplication
Decimal multiplication involves multiplying numbers with decimal points. The key is to multiply the numbers as if they were whole numbers and then correctly place the decimal point in the result based on the total number of decimal places in the original numbers.
Importance of Decimal Places
In the multiplication of 11.44 by 0.015, the first number has two decimal places, and the second number has three decimal places. Thus, the result should have a total of 2 + 3 = 5 decimal places if we were not considering significant figures or rounding.
However, in this calculation, the result 0.1716 directly reflects the operation without needing further adjustment for decimal places beyond what's significant in the answer.
What is the rule for placing the decimal point when multiplying decimals?
+The rule for placing the decimal point when multiplying decimals is to add the number of decimal places in the numbers being multiplied and place the decimal point in the product to the left of the last digit of the total count of decimal places.
Why is it important to correctly place the decimal point in multiplication results?
+Correctly placing the decimal point is crucial because it affects the value of the result. A misplaced decimal point can significantly alter the magnitude of the number, leading to incorrect conclusions or calculations in subsequent steps.
