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Question
graph \\(\frac{1}{6}\\) on the number line.
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Step1: Analyze the number line
The number line is from 0 to 1, and it's divided into equal parts. Let's find how many parts. From 0 to 1, there are 6 intervals (since we need to place \(\frac{1}{6}\)). Wait, actually, let's check the number of ticks. From 0 to 1, the number of segments: if we count the ticks, from 0 to 1, there are 6 spaces? Wait, no, looking at the graph, from 0 to 1, how many divisions? Let's see, the number line has 0, then a tick, then another, up to 1. Wait, the total length from 0 to 1 is divided into 6 equal parts? Wait, no, let's see: the fraction is \(\frac{1}{6}\), so we need to divide the interval from 0 to 1 into 6 equal parts, and mark the first part (since \(\frac{1}{6}\) is one - sixth of the way from 0 to 1).
Step2: Locate \(\frac{1}{6}\) on the number line
The number line from 0 to 1 is divided into 6 equal segments (because the denominator of \(\frac{1}{6}\) is 6). So each segment has a length of \(\frac{1}{6}\). So starting from 0, the first tick mark after 0 (excluding 0) should be at \(\frac{1}{6}\). So we need to move one - sixth of the way from 0 towards 1. So the correct position is the first interval after 0, since each interval is \(\frac{1}{6}\) in length.
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To graph \(\frac{1}{6}\) on the number line from 0 to 1 (divided into 6 equal parts), place a dot at the first tick mark to the right of 0 (since each part represents \(\frac{1}{6}\)).