Final answer:
To plot the numbers -1, 1/6, and 2 1/3 on a number line, start with -1, divide the number line into equal parts for 1/6, and locate the point for 2 1/3 after 2.
Step-by-step explanation:
To plot the numbers -1, 1/6, and 2 1/3 on a number line, we need to locate their positions based on their values.
Starting with -1, we find -1 on the number line.
Next, for 1/6, we divide the number line into six equal parts and locate the point that corresponds to one part after 0.
Finally, for 2 1/3, we locate the point 2 on the number line and then divide the remaining space between 2 and 3 into three equal parts. We locate the point that corresponds to one part after 2.
Therefore, the correct sequence to plot the numbers is d) 1/6, -1, 2 1/3.
The correct order to plot the numbers -1, 1/6, and 2 1/3 on a number line is -1, 1/6, 2 1/3. To do this, begin by finding each number's position relative to zero. The number -1 is one unit to the left of zero. The fraction 1/6 is positive, so it will be to the right of zero, but since it is less than 1, it will be closer to zero than to 1. Finally, the mixed number 2 1/3 is greater than 2 but less than 3, which places it to the right of 2 on the number line. By plotting these points in order, we can see that their sequence on the number line is indeed -1, followed by 1/6, and then 2 1/3.