Multiply in the indicated base
401
9
X 45
9
__________
is the ? multiply 401 times 9times 45 times 9??
To multiply in the indicated base, follow these steps:
Step 1: Set up the multiplication problem
Write down the two numbers to be multiplied, one on top of the other, making sure the ones digit on the bottom number aligns with the ones digit on the top number. In this case, the numbers are 401 and 45.
```plaintext
401
X 45
```
Step 2: Multiply the digits
Start with the ones digit of the bottom number (5) and multiply it with each digit of the top number. Write down each multiplication below the line.
```plaintext
401
X 45
_____
401
2005
```
Step 3: Add the partial products
Add up the partial products starting from the rightmost digit and carry any value greater than the base to the next column.
```plaintext
401
X 45
_____
2005
+ 4010
_______
18045
```
Step 4: Check for carrying
If there are any carry digits that exceed the allowed base, continue carrying as needed until all digits are less than the base. In this case, there are no carries.
The final result of 401 multiplied by 45 in base 9 is 18045.