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Negative numbers are an important concept in mathematics, and understanding them is crucial for various topics in basic algebra. Negative numbers are less than zero and are represented with a minus (-) sign.
For example, -6 is a negative number. When you look at a number line, all negative numbers are found to the left of zero.
Positive numbers, on the other hand, are to the right of zero.
Remembering this helps to accurately place and compare negative numbers. The more to the left a number is, the smaller its value. For instance, -6 is smaller than -1 because -6 is further to the left on the number line.

Understanding number order is essential when comparing numbers. On a number line, the position of a number tells you about its value relative to other numbers.
Generally, the further left a number is, the smaller its value. Conversely, the further right a number is, the larger its value.
When comparing negative numbers like -6 and -1, locate them on the number line. -6 is to the left of -1, which means -6 is smaller.
Whenever you are unsure, you can always draw a quick number line to visualize the order of numbers. This can be extremely helpful for comparing both negative and positive numbers.

Basic algebra often involves operations and comparisons of numbers, including negative ones. Understanding how to read and use a number line is a foundational skill in algebra.
In the exercise given, you were comparing two numbers, -6 and -1, to determine if -6 is less than -1. Using a number line as a visual aid simplifies this process.
Algebra frequently requires you to compare numbers and evaluate equations or inequalities. For instance, knowing that \[ -6 < -1 \] allows you to properly solve more complex problems and understand relationships between numbers.
Mastery of basic concepts like these prepares you for more advanced algebraic concepts and problems you will encounter in the future.