When Gauss was still in the second grade of primary school, one day his math teacher wanted to take time out of class to deal with some personal affairs. So I'm going to give the students a difficult problem to practice. His topic is:1+2+3+4+5+6+7+8+9+10 =?
Because addition has just been taught for a long time, the teacher thinks that this problem will definitely take a long time for students. I can also take this opportunity to deal with the unfinished business, but in a blink of an eye, Gauss has stopped writing and sat there doing nothing. The teacher saw it and called Gauss angrily.
But Gauss said he had figured out the answer, which was 55. The teacher was startled and asked how Gauss worked it out. Gauss replied, "I just found out that the sum of 1 and 10 is the sum of1,2 and 9,1,3 and 8,1/kloc-0. And because11+1+11+11= 55, that's how I worked it out. " Hearing this, both teachers and students gave Gauss a thumbs-up sign. Later, Gauss grew up and became a great mathematician.
Interesting Mathematics II
In the following addition formula, each Chinese character represents a number, and different Chinese characters represent different numbers. What does this formula look like?
The idiom says, think twice before you act. There are three ideas in this formula. Let's think about what these ideas mean first. Considering the addition of husband and wife, it is possible to enter 1 or not to carry to hundreds, and get thinking =58 or thinking =08 respectively.
If thinking is equal to 08, then it is deduced from the addition of hundreds that it is equal to 8, and the meaning of going and taking the exam is 8, which does not meet the requirements of the question, because different Chinese characters represent different numbers. So it can only be thinking =58.
It follows that =7.
So the addend is 75858, and the formula is 43758+75858 =119616.
Interesting mathematics iii
The Tang Priest and his disciples are walking in the endless desert. They are hungry and tired. The pig thought, how nice it would be to have a good meal! The Monkey King is not as greedy as Bajie. Wukong just wants to drink a glass of water. The Monkey King wanted to think, a family appeared in front of him. There is only a glass of milk on the table at the door. The Monkey King hurried forward to drink this glass of milk, but the host said, "Wait a minute, Great Sage. If you want to drink this glass of milk, you must answer a math problem. "
The Monkey King thought, just a math problem can't beat me. The Monkey King agreed. There is a problem in the host's house: pour a glass of milk, you first drink 1/2 and then drink 1/3 and finally drink all the drinks. Do you drink more milk and water? Why?