有規律的算式
9 = 81+1
98 = (81+1)
10+8
= 80+10+8 = 8
(10+2)+2
= 8
12+2
987 = ( 812+2)
10+7
= 8
120+20+7
= 8
(120+3)+3
= 8
123+3
9876 = ( 8123+3)
10+6
= 8
1230+30+6
= 8
(1230+4)+4
= 8
1234+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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