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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 99단 2번째 이야기-11111111111111111
은총알
2020.03.27 08:55
조회 349
11에 두 자리 수를 곱하면 그 방법은 간단하다. 그 두 자리수의 십의 자리 숫자를 a, 일의 자리 숫자를 b라고 하자.
그랬을 때 결과값은 백의 자리 숫자에 a를 두고 일의 자리 숫자에는 b를 둔다. 그런 다음, 십의 자리 숫자에는 a+b를 두는데 만약 받아올림이 될 경우 a+b의 일의 자리 숫자는 십의 자리에 그대로 남겨두고 십의 자리 숫자는 백의 자리인 a에 더한다.
예 ✔ 11 X 47에서 a=4, b=7이다. 그러니 값은 백의 자리 숫자는 4, 일의 자리 숫자는 7로 두고 십의 자리 숫자는 4+7=11이니 517이 된다.
이것이 성립하는 이유를 설명하여라.
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은총알
Lv.11
2020.03.30 18:08
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