> Q: You're asking for the product of 45 and 11 and how to calculate it.
Math Educator: To solve this, I'll demonstrate the standard multiplication algorithm which is taught in elementary mathematics. This method involves multiplying each digit of one number by each digit of the other number and then adding the results together.
***
To multiply 45 by 11:
1. Write down the two numbers, aligning them by their rightmost digits.
2. Multiply the rightmost digit of the bottom number (11) by each digit of the top number (45), and write down the result beneath each corresponding digit.
3. Since 11 has two digits, repeat this process for the leftmost digit of 11, but shift the results one place to the left.
4. Add the results of these two steps.
Let's go through these steps:
1. Write the numbers:
```
45
x11
----
```
2. Multiply by the rightmost digit of 11 (1):
```
45
x11
----
45 (45 x 1)
```
3. Multiply by the leftmost digit of 11 (1), shifted one place to the left:
```
45
x11
----
45 (45 x 1)
45 (45 x 1, shifted one place to the left)
```
4. Add these results together:
```
45
x11
----
45
+45
----
495
```
Therefore, 45 multiplied by 11 equals 495.
***