To calculate 11.44 multiplied by 0.015, you can follow these simple steps:
Multiplication Process
First, understand that multiplying by a decimal is similar to multiplying by a whole number, but you must consider the placement of the decimal point in your answer. The number of decimal places in the multiplier (0.015 in this case) will determine the placement of the decimal point in your product.
Step-by-Step Calculation
1. Multiply 11.44 by 15 (since 0.015 can be thought of as 15⁄1000 or 15 * 10^-3), which gives you 172.6.
2. Since you are multiplying by 0.015, you need to place the decimal point three places to the left because 0.015 has three decimal places. Therefore, 172.6 becomes 0.1726 when you move the decimal point three places to the left.
| Operation | Result |
|---|---|
| 11.44 * 15 | 172.6 |
| Place decimal point | 0.1726 |
The result of 11.44 multiplied by 0.015 is 0.1726.
Alternative Method
Another way to think about this problem is by converting the decimal to a fraction. Since 0.015 is the same as 15⁄1000 or 3⁄200, you could multiply 11.44 by 3⁄200. This method involves multiplying 11.44 by 3 and then dividing by 200.
Calculation Using Fractions
1. Multiply 11.44 by 3: 11.44 * 3 = 34.32
2. Divide the result by 200: 34.32 / 200 = 0.1726
| Operation | Result |
|---|---|
| 11.44 * 3 | 34.32 |
| 34.32 / 200 | 0.1726 |
Both methods yield the same result, confirming that 11.44 multiplied by 0.015 equals 0.1726.
What is the quickest way to multiply a number by a decimal?
+The quickest way often involves recognizing the decimal as a fraction of a power of 10 and adjusting the multiplication result accordingly by moving the decimal point.
How do you handle multiplication with decimals in mental math?
+For mental math, converting decimals to fractions or recognizing patterns can be helpful. Additionally, breaking down the multiplication into simpler components can make it easier to perform mentally.
