To solve the multiplication of 13 and 17 using the standard method, we can follow these steps:
-
Multiply 13 by 7 (the units digit of 17): \[ 13 \times 7 = 91 \] We write 91 below the line.
-
Multiply 13 by 1 (the tens digit of 17) and shift it one place to the left (which is the same as multiplying by 10): \[ 13 \times 1 = 13 \quad \text{(this represents 130)} \] We write this below the 91, shifted one position to the left.
Now we have:
13
x 17
------
91 (13 x 7)
+130 (13 x 1, shifted one position)
------
- Add the two results together: \[ 91 + 130 = 221 \]
So the multiplication looks like this:
13
x 17
------
91
+130
------
221
The final answer is:
221