Answer:Real numbers must be complete in order to fill the number line.
Step-by-step explanation: No steps I got this answer from my algebra notes.
Completeness as a property of real numbers ensures that the limit of a sequence exists within the set due to the absence of gaps or missing points
Completeness of real numbers means that there are no gaps in between a sequence of real numbers or on a real number line.
The importance of completeness of real numbers is of particular importance in other to ensure that mathematical calculations and analysis hold for all sequence of real numbers in a set.
With the presence of gaps or holes in real numbers, then the limit of a sequence of real numbers may not exist within a specified set.
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