We often hear students say, "Teacher, I only got one symbol wrong in this question. How can I get it all wrong?" Or "there is a decimal point wrong, why do you deduct so many points?" It seems that some students don't know enough about one feature of mathematics-accuracy. A composition with clear theme, prominent center, rigorous conception and beautiful words, although there are one or two typos, is a shortcoming, but it is harmless. It is still a good article. This is not the case with mathematics. Not only should the thinking of solving problems be correct, but also the specific problem-solving process should not be wrong. The difference is very small, a thousand miles away.

Here are two true stories.

1962, the United States launched the "Voyager 1" spacecraft to Venus. According to the forecast, after the spacecraft takes off for 44 minutes, 9800 solar devices will automatically start working; Eight days later, the computer completed the rectification of navigation; 10 days later, the spacecraft can sail around Venus and start taking pictures. Surprisingly, however, the spacecraft crashed into the Atlantic Ocean less than four minutes after taking off. What is the reason? Later, after detailed investigation, it was found that the negative sign in front of the data was missed when the data was input into the computer, which turned the negative number into a positive number, which affected the whole operation result and failed the spacecraft plan. A small negative sign actually cost NASA10 million dollars, a lot of manpower and time,

In the past, doctors often advised children and convalescent patients to eat more spinach. It is said that it contains a lot of iron, which has the function of nourishing blood and enriching blood. However, a few years ago, when Rauchel, a former German chemist, was studying the harm of chemical fertilizers to vegetables, he accidentally found that the actual iron content in spinach was not as high as that in the book, only one tenth of the propaganda data! Rauch was very surprised. He wanted to know whether the spinach he had experimented with was special, so he repeatedly analyzed and tested a variety of spinach leaves, but never found any spinach with a particularly high iron content than other vegetables. So he explored where the "myth" of high iron content in spinach came from. Finally, it was found that more than 90 years ago, when the printing house typesetting, the decimal point of iron content in spinach was moved to the right by one place, thus expanding the data by 10 times.

Newton once said, "In mathematics, the smallest error cannot be ignored." When we study mathematics, we should have such a cautious and meticulous attitude and be strict with ourselves. Only after taking part in the work can we have the spirit of being highly responsible to the people and the cause.