Question

What is the absolute value of $-9$ ?

Answer 1

Hint: To solve the question we need to know the concept of absolute value. Absolute value is the positive value of a given number. To solve the question we need to subtract the negative number from zero so as to find the positive value. The other way is to find the modulus of the number given in the question.

Complete step by step answer:
The question asks us to find the absolute value of $-9$. The absolute value is defined as the distance from a number to $0$. Absolute value refers to the distance from $0$ to the value given. Since the distance is always positive so the absolute value is positive.
To find the absolute value of $-9$ we need to find the distance between the number $0$ and $-9$ . So on taking the difference of the number we get:
$\Rightarrow 0-\left( -9 \right)$
Since the negative sign outside the bracket is being multiplied to the negative sign of the number $-9$ which is inside the bracket so the sign becomes positive.
$\Rightarrow 0+9$
When zero is added to any number the number remains itself, so the addition of the numbers $0$ and $9$ is:
$\Rightarrow 9$

$\therefore $ The absolute value of $-9$ is $9$.

Note: There is another method to find the absolute value of a given number. Absolute value refers to the modulus of real number $x$ which is denoted by $\left| x \right|$. It has main work to just write the value of the number removing the sign from the number.
So the absolute value of $\left| -9 \right|$ could be written as $9$ .
Always remember that modulus returns the positive value of a number.