Connecting Multiplication in Arithmetic to Algebra
OKAY ...
Let's generalize what was multiplied:
(20 + 3) * (10 + 8)
23 * 18 =
Multiply all values for all places:
- First digit from the first factor times the first digit of the second factor.
- First digit from the first factor times the second digit of the second factor.
- Second digit from the first factor times the first digit of the second factor.
- Second digit from the first factor times the second digit of the second factor.
| First factor | 20 | + | 3 | |||
| Second factor | 10 | + | 8 |
| First digit from the first factor times the first digit of the second factor |
8 | * | 3 | = | 24 | |
| First digit from the first factor times the second digit of the second factor |
8 | * | 20 | = | 160 | |
| Second digit from the first factor times the first digit of the second factor |
10 | * | 3 | = | 30 | |
| Second digit from the first factor times the second digit of the second factor |
10 | * | 20 | = | 200 | |
| 184 | + | 230 | + | 414 |
What does this have to do with algebra? ---->>>> next ....