Question

directions: select the correct location on the number line. locate, on one of the number lines, where the solution to 4 \\(\div\\) 5 would lie. number lines: first from 0 to 1, second from 4 to 5, third from 2 to 3, fourth from 6 to 7

Explanation:

Step1: Calculate the result

First, we calculate \(4\div5\). By the division operation, \(4\div5 = \frac{4}{5}=0.8\).

Step2: Analyze the number lines

Now we look at the number lines. The first number line has endpoints \(0\) and \(1\), with equal intervals. Since \(0.8\) is between \(0\) and \(1\), we check the intervals. The number line from \(0\) to \(1\) is divided into 5 equal parts (since from \(0\) to \(1\) with 5 marks in between? Wait, actually, the number of intervals: from \(0\) to \(1\), the ticks are at \(0\), then four intermediate ticks, then \(1\)? Wait, no, looking at the first number line: the leftmost is \(0\), then four small ticks, then \(1\). So each interval is \(0.2\) (since \(1\div5 = 0.2\)). So the positions are \(0, 0.2, 0.4, 0.6, 0.8, 1\). So \(0.8\) is the fifth tick (counting from \(0\), the first tick after \(0\) is \(0.2\), second \(0.4\), third \(0.6\), fourth \(0.8\), fifth \(1\))? Wait, no, the number of segments: between \(0\) and \(1\), there are 5 segments (since from \(0\) to \(1\), the number of spaces between ticks is 5? Wait, the first number line: \(0\) ---|---|---|---|--- \(1\), so 5 intervals, each of length \(0.2\). So the fourth tick (after \(0\)) is at \(0 + 4\times0.2=0.8\), which is the position of \(4\div5 = 0.8\). So the correct number line is the first one (top - left), and the location is the fourth tick from \(0\) (or the second last tick before \(1\)).

Answer:

The correct location is on the top - left number line (with endpoints \(0\) and \(1\)) at the fourth tick mark from \(0\) (or \(0.8\) on that number line).