Question

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

A = -0.7
B = -9/16 (0.5623)
C = -0.4
D = -5/16 (0.3125)

The last option is correct

Answer 2

Option D) is the correct option.

Explanation:

We are given the following information in the question:

A number line is shown in the figure. When observed we can make the following observations:

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
4. Hence, A and B must have a negative value lying between -1 and 0.5
5. Hence, C and D must have a negative value lying between -0.5 and 0.

A) Incorrect representation.

C cannot have a value smaller than -0.5

B) Incorrect representation.

D is positive but should have a negative value.

C) Incorrect representation.

A is positive but should have a negative value value.

D) Correct representation.

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

Option D) is the correct option.