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.