absolute value |x|
The absolute value of a number, denoted by |x|, is a mathematical function that returns the distance of a number from zero on a number line, regardless of its sign
The absolute value of a number, denoted by |x|, is a mathematical function that returns the distance of a number from zero on a number line, regardless of its sign. In other words, it gives the positive value of a number.
To understand this concept better, let’s consider some examples:
1. If x = 5, then |x| = |5| = 5. Since 5 is a positive number, the absolute value of 5 is also 5.
2. If x = -7, then |x| = |-7| = 7. In this case, the absolute value of -7 is 7, regardless of its negative sign.
3. If x = 0, then |x| = |0| = 0. The absolute value of zero is also zero since zero is neither positive nor negative.
In summary, the absolute value function allows us to ignore the sign of a number and obtain its positive value. This concept is useful in various branches of mathematics, such as solving equations involving inequalities, finding distances in geometry, or analyzing data sets.
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