# How do you find a midpoint of two numbers ?

##### 2 Answers

Find their average: take their sum, and divide it by 2.

#### Explanation:

The **midpoint**

Using this, we can get a formula for the midpoint

Picture

#m-a=b-m#

This equation says: "The difference between

Now, all we do is rearrange this to equation to solve for

#m-a color(green)(" "+ m)=b" "# (add#m# to both sides)

#" "2m" "=bcolor(green)(" "+a)" "# (add#a# to both sides)

#" "m" "=(b+a)/color(red)2" "# (divide both sides by 2)

And there it is—the formula for the midpoint! This is often called the **average** of the two numbers

#m=(a+b)/2#

## Example:

What is the midpoint of 3 and 5? Well, the answer is intuitively 4, but with the formula, we get:

#m=(3+5)/2=8/2=4#

which matches our intuition.

The method Geoff K gave also works with a combination of negative and positive numbers

#### Explanation:

Suppose we have

..............................................................................................................

Suppose we have