Published on 20 12-06-30 13:05.

If you ask a preschool or first-grade child, what does 0 mean? He will not hesitate to tell you that 0 means no, for example, there are no sheep on the grass, so the teacher asked us to use 0 to represent it. My father bought me two apples this morning. I ate one, and my brother ate one. There is none now, so it is represented by 0. Children can tell many such examples.

The children are right. 0 means "no", which may be the earliest meaning of 0 and the original meaning of 0. In ancient times, people had no concept of quantity at first. Later, due to the need to record and distribute daily necessities, the concept of number gradually came into being. For example, a wild animal is captured, which is represented by 1 stone. If you catch three heads, put three stones. If you don't catch anything, of course it's zero. In this way, numbers came into being, and people in different countries learned to use different symbols to represent different numbers, but people finally learned how to represent 0, because other numbers are easier to represent, so later someone put copper coins in the blank to avoid mistakes, which means 0. However, most people believe that the invention of the mathematical symbol "0" should be attributed to Indians in the 6th century. They first used a black dot () to represent zero, and then gradually became "0".

Because 0 originally meant no, now it means no in many cases. In a football match, the initial score was 0: 0, which means that neither side scored. If one side scores 1, it is 1. If the final result is still 0: 0, it means that neither side scored. The inventory of a commodity is 0, that is, the commodity is gone in this warehouse. But now we also know that 0 is not only meaningless, but also has other meanings. People often say "0" (zero time), which is 24 o'clock. This is a very clear concept of time, and it will not be said that there is no time. When we were watching TV and listening to the weather forecast, the announcer said that the lowest temperature in a city today is 0 degrees. Obviously, 0 degrees does not mean that there is no temperature, but the dividing line between the temperature above zero and the temperature below zero. 0 can also indicate the starting point. The starting point of the metric ruler we use for study is 0. When we count, it means that we will start counting from 3, 2, 1, so we often hear from others in our lives that everything from scratch means this.

0 plays a very important role in representing numbers. The biggest role played by 0 is probably to occupy space. Which number means it doesn't have to be occupied by 0, so don't think that 0 means it can't be done without it. After 1, add 1 zeros for 10, and add two zeros for 100. The more zeros, the bigger the number. In practice, the most common mistake is to write more zeros or less zeros. However, it's a pity that 0 can't occupy the front position. Sometimes, when reading, there are several zeros that just read a zero or a zero that is not read, but as long as people remember the role of the zero, the zero is satisfied. The 0 at the end of the decimal can be increased or decreased at will, but if there is a 0 or no 0 when representing the divisor, its meaning will be different, such as 7. 1 and 7. The accuracy of 10 is different. The former is accurate to one tenth and the latter to one hundredth. Obviously, the latter is more accurate.

0 also has its place in the calculation. Any number that adds or subtracts 0 is the original number, so is 0 multiplied or divided to get the original number and get 0? You are all wet. Multiplying 0 by any number will get 0, not the original number (of course, multiplying 0 by 0 will get 0), and dividing 0 by the vast majority will get 0. Why the vast majority? Pay attention here, because 0 can't be divided completely. Why? There are two reasons: first, when the dividend is not 0 and the divisor is 0. For example, 7÷0=? According to the relationship of "dividend = quotient × divisor", it is to find a number so that the product of multiplying it by 0 equals dividend 8, but as we all know, the product of multiplying any number by 0 can only be equal to 0 and never equal to 7. That is to say, when the dividend is not 0 and the divisor is 0, the quotient does not exist, so it is meaningless to divide a number that is not 0 by 0. The second case: when the dividend and divisor are both 0. That is 0÷0=? According to the relationship of "dividend = quotient × divisor", it is to find a number so that the product multiplied by 0 is equal to 0, and the product of any number multiplied by 0 is equal to 0. There are infinitely many numbers multiplied by 0 equal to 0, for example, 7*0 and 8*0 both get 0, so "0÷0" can't get a definite quotient, which doesn't conform to the four operations. So we say exactly: 0 divided by a non-zero number gets 0. Since 0 can't be a divisor, then 0 can't be the denominator in the fraction.

Having said that, it seems that I haven't said which one 0 belongs to. Originally, the most controversial question was whether 0 is a natural number, but now people have unified their understanding that 0 is a natural number. Because natural numbers represent the number of objects, such as 1, 2, 3, etc. Because we know that they are not used to represent, 0 is also a natural number and the smallest natural number. You can tell your grandparents, parents when you get home. Maybe they don't know yet. Of course, 0 is still an integer and an even number, only according to different classification standards.

In addition, 0 can proudly tell you that computers usually use binary code as the way to store, transmit and process data internally, which means that any form of data must be represented by 0 and 1. Is this child arrogant? As for the reason, everyone will know later.

There are many interesting and mysterious things in mathematics that need to be explored. You are sure to find more.