Question

graph $-\frac{3}{5}$ on the number line.
-1 0 1
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Explanation:

Step1: Analyze the number line intervals

The number line has intervals between -1 and 0, and 0 and 1. The distance between -1 and 0 is divided into 5 equal parts (since we have a fraction with denominator 5). Each part represents a value of $\frac{1}{5}$.

Step2: Locate $-\frac{3}{5}$

Starting from 0 and moving towards -1, each step is $\frac{1}{5}$. So, $-\frac{1}{5}$, $-\frac{2}{5}$, $-\frac{3}{5}$ would be the third mark from 0 towards -1 (or equivalently, 2 marks away from -1 towards 0, since from -1 to 0 is 5 parts, and $-1 + \frac{2}{5}=-\frac{3}{5}$). So we place a dot at the third interval mark between -1 and 0 (counting from 0 towards -1, the third mark is at $-\frac{3}{5}$).

Answer:

To graph $-\frac{3}{5}$ on the number line:

1. Recognize that the interval between -1 and 0 (and 0 and 1) is divided into 5 equal sub - intervals (since the denominator of the fraction is 5), each representing a value of $\frac{1}{5}$.
2. Starting from 0 and moving towards -1, the first sub - interval mark is at $-\frac{1}{5}$, the second at $-\frac{2}{5}$, and the third at $-\frac{3}{5}$. Place a dot (or mark) at this third sub - interval mark between -1 and 0.