Q: Plot the points 7 8.5 and on a real number line?

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Real Number line

These number can also be represented on real line.

Because there is a 1-to-1 mapping between the points on the line and the set of real numbers.

There are an infinite number of points between any two numbers on the real number line.

Yes, zero is a real number. If you can plot it on a number line, it is real. It is also an integer, a whole number, a rational number, and could probably be designated as a few other types of numbers.

number line- a straight line on which there is indicated a one-to-one correspondence between points on the line and the set of real numbers. basically a line with numbers on it.

In basic mathematics, a number line is a picture of a graduated straight line that serves as abstraction for real numbers, denoted by R{\displaystyle \mathbb {R} }. Every point of a number line is assumed to correspond to a real number, and every real number to a point. Often integers are shown as specially-marked points evenly spaced on the line.

number line- a straight line on which there is indicated a one-to-one correspondence between points on the line and the set of real numbers. basically a line with numbers on it.

Yes. Real numbers are points along a continuous infinite number line with its midpoint at 0.

I'm not really sure which line plot you mean so I assumed it was the x,y axis line plot. One example could be the shooting solution coordinates in a warship

A mathematical approach:Yes they are. Irrational numbers are very real, for example - the square root of two - which is irrational (but can be plotted in a number line without difficulty with a compass and straight edge). All numbers you can think of (even if you cant white them out) are real numbers.They are real, but they can't be expressed as fractions.A philosophical approach:According to ME, there should be a limit. If there is a number which is not ending, we can't say that it is a number because it has not ended yet, its not a complete number. That's why, any number which is not ending is not a number, so irrational numbers and some rational numbers are not numbers and we can't plot them on real line, no matter how much depth we are into it. If there is a number 1.0000... (100 million 0's) ...1, we can plot it by dividing real line into required many parts but we cant plot a number like 1.1111....1111....(up to, we don't know), actually that's not a number yet.Maths should be changed.

To clarify, since you you couldn't put in symbols: Which group of points are all on the line y=-2x+1? If we are graphing over the real numbers, then there are an infinite number of points: all the points on the line. We can say this mathematically as: "The set of all points (x,y) for which y=-2x+1"