Respuesta :

Question:

Marco plotted the following points on the number line.

Point A: 0.3 Point B:  3/4 Point C: 11/4 Point D: 0.7

Which point did he plot incorrectly?

Answer:

Point D

Step-by-step explanation:

Given

[tex]Point\ A= 0.3[/tex]

[tex]Point\ B= \frac{3}{4}[/tex]

[tex]Point\ C= \frac{11}{4}[/tex]

[tex]Point\ D= 0.7[/tex]

Required

The incorrectly plotted point

Number plotted on a number line increases from left to right. This implies that:

[tex]A < B < C < D[/tex]

Substitute the values for the given points

[tex]0.3 < \frac{3}{4} < \frac{11}{4} < 0.7[/tex]

Express as fractions

[tex]0.3 < 0.75 < 2.75 < 0.7[/tex]

Up till 2.75, the order of the numbers is correct.

However, 0.7 is less than 0.75 and 2.75

So, 0.7 is not placed correctly.

This implies that point D is not correctly placed