Question

What is a real world example of a point

Answer 1

Point Definition - A point is one place that shows a specific “point” Real World Example - A pencil Point would be one. The tip of the pencil represents one point and you could touch it on a piece of paper and make a point or 2 to form a line.
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Answer 2

I'm assuming that you are referring to the mathematical point in a space

Is there anything existent in our real, material world that resembles a point in terms of usage to describe the position of an object?

Yes, the tip of a pencil or a dot in a paper, or even a car. If we compare the car to Earth, the car on Earth is like a dot on a paper.