In the diagram, the number line between -2 and 3 is divided into 10 equal parts. The integers $-1,0,1,2$ are marked on the line as are the numbers $A, x, B, C, D, E$. Which number best approximates the value of $x^{2}$ ?

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-033.jpg?height=116&width=683&top_left_y=408&top_left_x=686)
(A) $A$
(B) $B$
(C) $C$
(D) $D$
(E) $E$

Part B: Each correct answer is worth 6.
For any real number $x$ not equal to $0, x^{2}>0$.

Since $-1<x<0$, then $x^{2}<(-1)^{2}=1$, and so $0<x^{2}<1$.

Of the given points, only $C$ is between 0 and 1 .

ANsWER: (C)