Question

What is the absolute value of \[\left| 4 \right|\]?

Answer 1

Hint: Here in this question, we have to find the absolute value of a given number, to solve this we have to remember absolute (denoted by the vertical bars) means that everything or any number between them is converted to non-negative. So, if weather 4 (positive) or -4 (negative) but the absolute value is 4 (positive).

Complete step-by-step solution:
The term “Absolute Value” refers to the magnitude of a quantity without regard to sign. In other words, its distance from zero is expressed as a positive number.
The notation used to indicate absolute value is a pair of vertical bars i.e., surrounding the quantity, sort of like a straight set of parentheses i.e., if \[a\] be the quantity then to indicate it’s absolute value as ‘\[\left| a \right|\]’.
These bars mean: evaluate what is inside and, if the final result (once the entire expression inside the absolute value signs has been evaluated) is negative, change its sign to make it positive and drop the bars; if the final result inside the bars is zero or positive, you may drop the bars without making any changes:
Consider the given question:
We need to find the absolute value of \[\left| 4 \right|\]
If \[ - 4 < 0\] then \[\left| { - 4} \right| = 4\]
And
If \[4 > 0\], then \[\left| 4 \right| = 4\].
Hence, the absolute value of \[\left| 4 \right| = 4\].

Note: Remember, when solving the absolute value problems that absolute value signs do not instruct you to make “all” quantities inside them positive. Only the final result, after evaluating the entire expression inside the absolute value signs, should be made positive.