Question

What is the absolute value notation?

Answer 1

Hint: To solve this question we should have the knowledge of the number line theory. We require the knowledge of absolute value notation of the number. This is totally a theoretical question which can be easily understood by the absolute value notation, also called the modulus. This modulus concept is one of the major types of function which is the base of calculus.

Complete step-by-step solution:
This question is an explanation based question which clearly depends on the concept of absolute value notation of a number. This concept is also related to functions in calculus. This basic knowledge of absolute value notation can be useful in studying modulus function in calculus. Let us now discuss the above concepts one by one.
Absolute Value Notation: The absolute value notation of a number is defined as the distance of the number from the origin in the coordinate system regardless of the position of the number with respect to the origin. Hence, only the magnitude of the number is considered not the sign while evaluating the absolute value of a number. This concept in calculus is named as the modulus function. The graph of the modulus function is symmetric with respect to \[y-axis\]. The output value of the modulus function is always positive. The absolute value notation is applied on the number to get the magnitude of the number excluding the sign. In simple words, the absolute value of \[0\] is \[0\], absolute value of positive number is that positive number itself and the absolute value of negative number is the output number of the same by reversing the sign. The absolute value notation of \[a\] is given by \[|a|\]. This is all the theory, now we move towards the examples to get a crystal clear idea of the above concept.
For e.g. \[(1)\]Take a number \[3\].
The absolute value of the above number \[=\] \[|3|\]
\[\Rightarrow \]The absolute value of the above number\[=\]\[3\]
\[(2)\] Take a number \[-2\].
  The absolute value of the above number\[=\]\[|-2|\]
absolute value of the above number\[=\]\[2\].

Note: This question is completely theoretical. It is completely based on conceptual knowledge. It just requires the whole and sole concept of absolute value notation of the number. We can also relate this concept with calculus by exploring the idea of modulus function. We just consider the magnitude of the number in the absolute value notation.