Maria is using a coordinate plane with the axes labeled only with integers. she says that the point (−0.5, 2) cannot be plotted because halves are not numbered on the x-axis. write a note to maria about her misunderstanding and explain how to plot the point.

Integers ={Positive Natuaral Number +Natural numbers having negative sign behind it+Zero}

      ={------,-3,-2,-1,0,1,2,3,..........}

→Points marked on the X and Y axis on the Coordinate Plane=Integers only

→Point to be marked on the coordinate plane =(-0.5,2)

→As, points on both X and Y axis are integers only.To mark, -0.5 , mark a line between , 0 and -1,that will be ,-0.5.

→You can mark , any terminating decimal on the number line, which is marked with integers only.

→Terminating decimals are those decimals having in the denominator of a fraction.

So, to plot any terminating Decimal on the coordinate plane, you have to use property of Rational Numbers ,which is, you can find infinite number of terminating Decimal between two terminating Decimal.

→Mark -0.5 between 0 and -1 on the X axis.Similarly, mark integer 2 on the Y axis.Draw a line parallel to Y axis ,passing from (-0.5,0) and line parallel to X axis passing through (0,2).The intersection of these two lines will be required point (-0.5,2).

Maria can make use of the given coordinate plane by taking the axes as representing number lines.

Maria should move left, a half of the division between 0 and -1, and from there, move two divisions or labels upwards.

Reason:

The point Maria says cannot be plotted is point (-0.5, 2)

The axes label on the coordinate plane Maria is using = Integers

Required:

To outline the misunderstanding and detail the steps to plot the point (-0.5, 2).

Solution:

Therefore;

Maria should move left, a half of the division between 0 and -1, and from there, move two units upwards, from there.

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