Respuesta :

Given:

A number line.

To find:

The correct values for points A, B, C and D.

Solution:

From the given number line is it clear that there are three marks between any two consecutive integers which divide the number line between those integers in 4 equal parts.

It means, one mark = [tex]\dfrac{1}{4}[/tex].

In the number line, point A is at -2. So,

[tex]A=-2[/tex]

D is 1 mark below 0.

[tex]D=-\dfrac{1}{4}[/tex]

C is mark below -1.

[tex]C=-1-\dfrac{1}{4}[/tex]

[tex]C=-(1+\dfrac{1}{4})[/tex]

[tex]C=-1\dfrac{1}{4}[/tex]

B is 3 units below -1.

[tex]B=-1-3(\dfrac{1}{4})[/tex]

[tex]C=-1-\dfrac{3}{4}[/tex]

[tex]B=-(1+\dfrac{3}{4})[/tex]

[tex]B=-1\dfrac{3}{4}[/tex]

So, [tex]A=-2,B=-1\dfrac{3}{4},C=-1\dfrac{1}{4},D=-\dfrac{1}{4}[/tex]

Therefore, the correct option is A.

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