Question

Help please

Match each point with one of the following rational number:

A=-5/16,B=-9/16,C=-0.7,D=-0.4

A=-0.4,B=-0.7,C=-5/16,D=9/16

A=9/16,B=-5/16,C=-0.4,D=-0.7

A=-0.7,B=-9/16,C=-0.4,D=-5/16

Answer 1

The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

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

`A = -0.7\\B = -\displaystyle(9)/(16) = -0.5625\\C = -0.4\\D = -(5)/(16) = -0.3125`

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