I think that addition falls into the category of "Things that you should have learned in school, had you been paying attention", but for whatever reason, you are here.

**Signing Up**

## Step 1: The basics

that is to say that 50+25=75, and 25+50=75

And perhaps more importantly, addition is associative, meaning that you can add more than two numbers together and get the same result.

Which is to say that 25+25+25=75, and 15+15+15+15+15=75

But how does it happen? How do you add? I will try and explain it in the next few steps

## Step 2: Adding positive numbers

positive numbers push you up the line, and negative numbers push you down the line.

For instance, if you have "1+5", you start out at one and go 5 spaces up (into the positive area)

and you end up at 6. So 1+5=6. Alternatively, you could have started at 5 and moved one space up, also stopping at 6)

When you have 1+1+1+1+1+1, you start at 1 and then move up 1 space 5 times.

Stooping at six again.

And that is basically all that there is to addition with positive numbers.

## Step 3: Adding negative numbers

Adding negative numbers is simply adding positive numbers in reverse. Instead of going up the number line, you go down it.

For example, 0+(-4)+(-3)=-7

And after that, it's exactly the same as for positive numbers, only in reverse.

## Step 4: Adding positive and negative numbers together

Adding a negative number to a positive number is exactly the same as subtracting a positive number from another positive number, or in other words: 5+(-5)=5-5=0

or 1+3+(-8)+2=1+3-8+2=-2, as in the picture