In the diagram, the number line is divided into 10 equal parts. The numbers 0,1 and $P$ are marked on the line. What is the value of $P$ ?

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-023.jpg?height=84&width=417&top_left_y=587&top_left_x=1296)
(A) 0.2
(B) 0.6
(C) 0.7
(D) 0.8
(E) 0.9
The number line shown has length $1-0=1$.

The number line is divided into 10 equal parts, and so each part has length $1 \div 10=0.1$. The $P$ is positioned 2 of these equal parts before 1 , and so the value of $P$ is $1-(2 \times 0.1)=1-0.2=0.8$.

(Similarly, we could note that $P$ is positioned 8 equal parts after 0 , and so the value of $P$ is $8 \times 0.1=0.8$.)

ANSWER: (D)