To solve the multiplication [tex]\( 25871 \times 125 \)[/tex], follow these steps:
1. Break Down the Calculation:
- Start by writing the numbers one below the other, aligning them by the rightmost digits:
```
25871
× 125
```
2. Multiply the Units Place:
- Multiply [tex]\( 25871 \)[/tex] by [tex]\( 5 \)[/tex] (the units digit of [tex]\( 125 \)[/tex]):
```
25871
× 5
_______
129355
```
3. Multiply the Tens Place:
- Multiply [tex]\( 25871 \)[/tex] by [tex]\( 20 \)[/tex] (the tens digit of [tex]\( 125 \)[/tex], remembering to shift one place to the left because we are dealing with tens place):
```
25871
× 20
_______
517420
```
4. Multiply the Hundreds Place:
- Multiply [tex]\( 25871 \)[/tex] by [tex]\( 100 \)[/tex] (the hundreds digit of [tex]\( 125 \)[/tex], shifting two places to the left because we are dealing with hundreds place):
```
25871
× 100
_______
2587100
```
5. Sum the Partial Products:
- Add the results of the multiplications:
```
129355
517420
+ 2587100
_________
3233875
```
6. Final Result:
- Therefore, [tex]\( 25871 \times 125 = 3233875 \)[/tex].
By carefully adding and aligning each of the partial sums, we find that the product of 25871 multiplied by 125 is 3,233,875.
