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:

The axes label on a coordinate plane are marked according to the variable associated with the axes.The values on the axes are presented using appropriate scales, marked as divisions that represent units of measure, such that the quantities which each division of the axis represents is made clear.The axis labels on a coordinate plane are arranged in the form of a number line such that a given distance on the line represent a specified quantity, such that a proportion of the distance between two points is a fraction of the quantity represented by the division between the two points.Moving towards the right from the origin represent increasing positive numbers, while moving towards the left from the origin gives increasing negative numbers.The ordered pair of points enclosed in parenthesis consist of the x-value located on the left and the y-value is given by the value on the right of the ordered pair.In the coordinate plane Maria is using, a division on the coordinate axis represents a unit integer, therefore, to locate a point that is negative half (-0.5) of an integer, Maria has to move left a distance that is half the distance between two points.

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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Something that is true about that is that it has numbers

Iwould like to think so. what’s the question you need with?