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