This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
\begin{tikzpicture
\draw[<->] (-2.5,0) -- (0.5,0);
\foreach \x in {-2,-1,0}
\draw (\x,0.1) -- (\x,-0.1) node[below] {$\x$};
\foreach \x in {0,-0.1428,-0.2857,-0.4285,-0.5714,-0.7142,-0.8571,-1}
\draw (\x,0.05) -- (\x,-0.05);
\node[above] at (-0.5714, 0.2) {$-\frac{4}{7}$};
\filldraw[black] (-0.5714,0) circle (2pt);
\end{tikzpicture}
}
Hey Satyam, good to see you again.
Step 1: Understand the number. The number to be represented is . This is a negative rational number. Since , the number lies between and on the number line.
Step 2: Draw a number line and mark the integers. Draw a straight line and mark the integers and .
Step 3: Divide the segment between and . Since the denominator of the fraction is , divide the segment between and into equal parts. Each part represents .
Step 4: Locate . Starting from , move divisions to the left. The point at the division to the left of represents .
Here is the representation:
\begin{tikzpicture \draw[<->] (-2.5,0) -- (0.5,0); \foreach \x in {-2,-1,0} \draw (\x,0.1) -- (\x,-0.1) node[below] {$\x$}; \foreach \x in {0,-0.1428,-0.2857,-0.4285,-0.5714,-0.7142,-0.8571,-1} \draw (\x,0.05) -- (\x,-0.05); \node[above] at (-0.5714, 0.2) {$-\frac{4}{7}$}; \filldraw[black] (-0.5714,0) circle (2pt); \end{tikzpicture} } } $$ What's next? 📸Get instant step-by-step solutions to any question. Free to start.
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Hey Satyam, good to see you again. Step 1: Understand the number.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.