Question

|x|, if x=10; .3; 0; −2.7; −9

Answer:
if x = 10, then
x
=
;
if x = .3, then
x
=
;
if x = 0, then
x
=
;
if x = −2.7, then
x
=
;
if x = −9, then
x
=

Answer 1

For
`\left | x \right |` we will have positive values only.

`\left | -2.7 |\right =2.7`

`\left | -9 |\right =9`

Rest are positive so will give positive values out of the modulus function.

Explanation:

The absolute value of any number is its positive value only.

As for example
`(-2.7)` and
`(2.7)` both are having equal distance from
`0` in a number line, one on the left other on the right side of the number line but are equidistant from
`0`.

So absolute value of a number is its distance on number line from reference point
`0`.

One by one we will work with all of our question.

`\left | 10 |\right =10`

`\left | 0.3 |\right =0.3`

`\left | 0 |\right =0`

`\left | -2.7 |\right =2.7`

`\left | -9 |\right =9`

So we have to take the positive number out of the modulus function that is also called absolute value.