Question

Find the distance between the given numbers

Short answer

The distance of the given number is 5.

Step-by-step solution

Step 1. Apply the concept of absolute value.

If a is a real number, then the absolute value of a is given by:

$\left|a\right|=\left\{\begin{array}{l}a\text{;if}a\ge 0\\ -a\text{;if}a<0\end{array}\right.$

Step 2. Apply the concept of distance.

If a and b are real numbers, then the distance between the points a and b on the real line is

$d\left(a,b\right)=\left|b-a\right|$

Step 3. Analyze the given numbers.

Given numbers are -2 and 3

Step 4. Find the distance.

Distance between -2 and 3 is given by:

$\begin{array}{l}d(-2,3)=\left|3-(-2)\right|\\ \Rightarrow d(-2,3)=\left|3+2\right|\\ \Rightarrow d(-2,3)=\left|5\right|\\ \Rightarrow d(-2,3)=\mathrm{5..................}[5>0]\end{array}$