You can't find a point on the axis that represents neither positive nor negative numbers, because both positive and negative numbers are relative to zero. If a number is neither positive nor negative, it is zero. But only one point on the number axis represents zero, which is the origin.
The origin is a fixed point on the number axis, which has dual properties. On the one hand, it is the dividing point between positive and negative numbers, with positive numbers on the right side of the origin and negative numbers on the left side of the origin. On the other hand, it is neither positive nor negative, but zero. Therefore, the origin is the only point on the number axis that represents neither positive nor negative numbers.
In mathematics, we usually take zero as the reference point of positive and negative numbers. In other words, all positive numbers are relative to zero, and all negative numbers are relative to zero. So we can find positive and negative points on the number axis, but we can't find points that represent neither positive nor negative numbers.
In short, there is no point on the number axis that represents neither positive nor negative because the origin already represents zero, and zero is neither positive nor negative. In mathematics, zero is the reference point of positive and negative numbers, and it is also the only point that cannot be found on the number axis.
Application of number axis
1. Represents numbers: In mathematics, numbers can be represented by points on a straight line, which is called the number axis, and all real numbers can be represented by points on the number axis.
2. Indicating direction: the number axis can intuitively represent numbers, and the points on the horizontal number axis correspond to real numbers one by one, that is, each real number can be represented by a point on the number axis.
3. The application of number axis is the basic content in mathematics. To understand the number axis correctly, we should understand the concepts of positive and negative numbers with the help of the number axis and compare the sizes of rational numbers.