Step 1

Given:

The two numbers as -3.6 and -1.4

Step 2

Explanation:

Definition:

Distance between two numbers:

In terms of absolute value,

Let P and Q be any two real numbers

then,

\(\displaystyle{\left|{{P}-{Q}}\right|}=\) The distance between P and Q

Step 3

The given two numbers as -3.6 and -1.4

Therefore,

Consider D be the distance between -3.6 and -1.4,

\(\displaystyle{D}={\left|{-{3.6}-{\left(-{1.4}\right)}}\right|}\)

\(\displaystyle{D}={\left|{-{2.2}}\right|}\)

D=2.2

Or

\(\displaystyle{D}={\left|{-{1.4}-{\left(-{3.6}\right)}}\right|}\)

\(\displaystyle{D}={\left|{{2.2}}\right|}\)

D=2.2

Here the change in the order of numbers does not effect the answer

Since both are same.

Therefore,

Absolute value between -3.6 and -1.4 is 2.2.

Hence the solution.

Given:

The two numbers as -3.6 and -1.4

Step 2

Explanation:

Definition:

Distance between two numbers:

In terms of absolute value,

Let P and Q be any two real numbers

then,

\(\displaystyle{\left|{{P}-{Q}}\right|}=\) The distance between P and Q

Step 3

The given two numbers as -3.6 and -1.4

Therefore,

Consider D be the distance between -3.6 and -1.4,

\(\displaystyle{D}={\left|{-{3.6}-{\left(-{1.4}\right)}}\right|}\)

\(\displaystyle{D}={\left|{-{2.2}}\right|}\)

D=2.2

Or

\(\displaystyle{D}={\left|{-{1.4}-{\left(-{3.6}\right)}}\right|}\)

\(\displaystyle{D}={\left|{{2.2}}\right|}\)

D=2.2

Here the change in the order of numbers does not effect the answer

Since both are same.

Therefore,

Absolute value between -3.6 and -1.4 is 2.2.

Hence the solution.