반응형
숫자 1의 비밀
111111111 x 111111111 = 12345678987654321?
Because 111111111 times 111111111 equals 12345678987654321 according to the laws of multiplication for real numbers.
If your question is more along the lines of “Why is there such a nice pattern in this product,” then perhaps I can elaborate a bit further.
Note that 111111111 = 100000000 + 10000000 + … + 100 + 10 + 1. As a consequence of the distributive property of multiplication over addition,
111111111×111111111=111111111×(100000000+10000000+ ⋯ +100+10+1) =11111111100000000+1111111110000000+⋯+11111111100+1111111110+111111111.
1x1=1
11x11=121
111x111=12321
1111x1111=1234321
11111x11111=123454321
111111x111111=12345654321
반응형