Certainly! Let's solve the multiplication problem [tex]\( 104 \times 96 \)[/tex] step-by-step.
#### Step-by-Step Solution:
1. Write Down the Numbers:
```
104
x 96
```
2. Multiply the Units Place of the Second Number (6) with Each Digit of the First Number (104):
- [tex]\( 6 \times 4 = 24 \)[/tex] (write 4, carry over 2)
- [tex]\( 6 \times 0 = 0 \)[/tex], adding the carry over 2 gives: [tex]\( 0 + 2 = 2 \)[/tex] (write 2)
- [tex]\( 6 \times 1 = 6 \)[/tex] (write 6)
So, the product of 104 and 6 is [tex]\( 624 \)[/tex], written like this:
```
624
```
3. Multiply the Tens Place of the Second Number (9) with Each Digit of the First Number (104), and Place it One Position to the Left:
- [tex]\( 9 \times 4 = 36 \)[/tex] (write 6, carry over 3)
- [tex]\( 9 \times 0 = 0 \)[/tex], adding the carry over 3 gives: [tex]\( 0 + 3 = 3 \)[/tex] (write 3)
- [tex]\( 9 \times 1 = 9 \)[/tex] (write 9)
So, the product of 104 and 90 (remember it’s actually 96, but we're dealing with the tens place here) is [tex]\( 9360 \)[/tex], written like this:
```
9360
```
4. Add the Two Results Together:
```
624
+ 9360
_______
9984
```
5. Sum the Partial Products:
- Units: [tex]\(4 + 0 = 4\)[/tex]
- Tens: [tex]\(2 + 6 = 8\)[/tex]
- Hundreds: [tex]\(6 + 3 = 9\)[/tex]
- Thousands: [tex]\(9\)[/tex]
Therefore, the final product of [tex]\( 104 \times 96 \)[/tex] is [tex]\( 9984 \)[/tex].
In conclusion, the multiplication of 104 by 96 results in [tex]\( \boxed{9984} \)[/tex].
