To solve the multiplication problem 11 times 2.8331, we will break it down into simpler steps to make the calculation easier and more understandable. First, let's understand that multiplying by 11 is essentially adding the number to itself 11 times, but there's a more efficient method for multiplying by 11 that involves less addition.
Understanding the Multiplication by 11
A trick to multiply any number by 11 is to follow these steps: 1. Multiply the number by 10 (which is essentially adding a zero to the end of the number). 2. Then, add the original number to this result. This method works because when you multiply a number by 10 and then add the original number, you’re effectively adding the number to itself 11 times, which is the same as multiplying by 11. For example, if you want to calculate 11 * 5, you would first multiply 5 by 10 to get 50, and then add 5 to get 55.
Applying the Trick to 2.8331
Now, let’s apply this trick to the number 2.8331. 1. First, we multiply 2.8331 by 10, which gives us 28.331. 2. Then, we add the original number, 2.8331, to this result. So, the calculation would look like this: 28.331 + 2.8331.
To perform the addition: - Start by adding the decimal parts: 0.331 + 0.8331 = 1.1641. - Then, add the whole numbers: 28 + 2 = 30. - Combine the results: 30 + 1.1641 = 31.1641. Therefore, 11 times 2.8331 equals 31.1641.
| Operation | Result |
|---|---|
| Multiply 2.8331 by 10 | 28.331 |
| Add 2.8331 to the result | 31.1641 |
In conclusion, by applying the multiplication trick for 11, we've found that 11 times 2.8331 equals 31.1641. This method can be applied to a wide range of numbers, including decimals, making multiplication by 11 a straightforward process.
What is the trick to multiply a number by 11?
+The trick involves two steps: first, multiply the number by 10, and then add the original number to the result. This is equivalent to adding the number to itself 11 times.
How does the trick work for decimal numbers?
+The trick works the same way for decimal numbers as it does for whole numbers. You multiply the decimal number by 10, which shifts the decimal point one place to the right, and then add the original decimal number to this result.
