1+1有規律的算式
9 = 81+1
98 = (81+1)10+8
= 80+10+8 = 8(10+2)+2
= 812+2
987 = ( 812+2)10+7
= 8120+20+7
= 8(120+3)+3
= 8123+3
9876 = ( 8123+3)10+6
= 81230+30+6
= 8(1230+4)+4
= 81234+4
只需善用運算的結合律與分配律就可獲得上述算式
依此類推可得下列算式
 |
987654321 | = | 8 |
|
123456789 | + | 9 |
| 98765432 | = | 8 |
|
12345678 | + | 8 | |
| 9876543 | = | 8 |
|
1234567 | + | 7 | |
| 987654 | = | 8 |
|
123456 | + | 6 | |
| 98765 | = | 8 |
|
12345 | + | 5 | |
| 9876 | = | 8 |
|
1234 | + | 4 | |
| 987 | = | 8 |
|
123 | + | 3 | |
| 98 | = | 8 |
|
12 | + | 2 | |
| 9 | = | 8 |
|
1 | + | 1 |
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