Final answer:
To graph the set of numbers on a number line, begin by identifying the smallest and largest numbers, and then select a range that includes these numbers, placing them accurately based on their value.
Step-by-step explanation:
When graphing the numbers 4; 2.5; -0.6; 5/7; √2; 3; 3/4; 4 on a number line, you'll want to first identify the smallest and largest numbers to determine how to scale your number line. In this case, the smallest number is -0.6, and the largest is either 4 or √2, depending on the approximate value of √2 (approximately 1.4142).
Therefore, your number line should at least start slightly below -0.6 and end slightly above 4. To accommodate for √2 and provide a clear view of each number, you might select -1 as the opening number and 5 as the closing number for your calibrations. Make sure to space out your tick marks evenly, and plot each number precisely where it falls on this scale.
Once you have the opening and closing numbers, you can label the number line starting from the opening number and ending at the closing number. Then, mark the points corresponding to the given numbers on the number line.