Sure! Let's break down the multiplication step-by-step to find the product of [tex]\(125 \times 25\)[/tex].
1. Write the numbers in a column:
```
125
× 25
```
2. Multiply each digit of the bottom number (25) by each digit of the top number (125), starting from the rightmost digit:
- First, multiply 125 by the rightmost digit of 25, which is 5:
```
125
× 5
-----
625 (this is the intermediate product of 125×5)
```
- Next, multiply 125 by the leftmost digit of 25, which is 2, remembering to place this intermediate product one place to the left:
```
125
× 20 (since 2 is in the tens place, we consider it as 20)
-----
2500 (this is the intermediate product of 125×20)
```
3. Add the intermediate products together to get the final product:
```
625
+2500
-----
3125
```
Therefore, the result of multiplying [tex]\( 125 \times 25 \)[/tex] is [tex]\( 3125 \)[/tex].
