What is the meaning and concept of false score?

The difference and significance between true points and false points. What are true points and false points?

A true fraction means that the numerator is less than the denominator, and a false fraction means that the numerator is greater than or equal to the denominator.

The Nature and Significance of Fractions

3/4, the three plasticines are evenly distributed on four planes, that is, the three plasticines are evenly divided into four parts, each part is 3/4.

17/2, seventeen leaves are divided into two paintings, that is, seventeen leaves are divided into two, that is, seventeen is divided into two 17/2.

That's basically it.

The significance of score generation

Generation of scores

The earliest number in human history is a natural number (positive integer). When measuring the average in the future, it is often impossible to get accurate integer results, which leads to scores.

Use a standard quantity (unit of measurement) to measure another quantity, and only when the equivalent is accurately measured several times can the measurement result be expressed as an integer. If the quantity cannot be accurately measured several times, there are two situations:

For example, use b as a standard to measure a:

One case is that B is divided into n equal parts, and one of them is used as a new unit of measurement to measure A, which means that A contains m equal parts after B is divided into n equal parts. For example, divide B into four equal parts, and use one part of A to measure it exactly nine times. In this case, we can't use an integer to represent the result of measuring A with B, and we must introduce a new number-fraction to represent the measurement result.

On the other hand, no matter how many equal parts B is divided into, one of them can not be accurately measured as a new measure A (for example, the circumference of the same circle can be measured by the diameter of the circle). In this case, it is necessary to introduce a new number-irrational number. In integer division, when two numbers are divided, sometimes the integer quotient cannot be obtained. In order to make division always possible, it is also necessary to introduce a new number-fraction.

To sum up, the score is generated by actual measurement and average score.

Meaning of fraction

Divide the unit 1 into several parts on average, and the number representing such a part or parts is called a fraction.

For example, the unit 1 is divided into five parts, that is, the number of such a part is 1/5, and the number of such three parts is 3/5.

That's right. A number is divided into several points on average. Taking one or more of them is called scoring!