Answer:
The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Step-by-step explanation:
Consider the provided number line.
From the number line we can observed that:
1) A, B, C and D lies between -1 and 0.
2) Point A and B lies between -1 and -0.5
3) Point C and D lies between -0.5 and 0
Therefore, the value of A and B must have a negative value lying between -1 and -0.5
Also, the value of C and D must have a negative value lying between -0.5 and 0.
Now consider the provided options.
Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16
This is Incorrect representation because the value of A and B should lying between -1 and -0.5.
Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.
Also they are in ascending order from -1 to 0.
Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16