# What is multiplication used for?

## Multiply - basic arithmetic in mathematics

### Examples

Let's look at this **Whole** practically once.

If we want to do the math:

$ 5 \; + \; 5 \; + \; 5 \; + \; 5 \; + \; 5 \; + \; 5 \; + \; 5 \; $ we get $ 35 $.

So we add $ 7 times the $ 5 together. That's exactly what it is **approach** for the **multiplication**.

$ 7 \; \ cdot \; 5 \; = \; $ 35

So we see that the **multiplication** a **short form** the **addition** is. You could also write out the $ 5 and add it to yourself to get that **solution** receive.

Let's take a look **further examples** at:

$ 3 \; \ cdot \; 4 \; = \; $ 12

$ 6 \; \ cdot \; 5 \; = \; $ 30

$ 2 \; \ cdot \; 12 \; = \; $ 24

$ 9 \; \ cdot \; 8th \; = \; $ 72

$ 1 \; \ cdot \; 3 \; = \; $ 3

### Multiply in writing

If you have large numbers and need to multiply them together, you can use written multiplication. We have used these in the following figure.

In the **written****multiplication** so you have to write the numbers that you want to multiply together next to each other. Then you calculate the numbers individually. Here is an example:

$ \ textcolor {green} {23} \ cdot \ textcolor {blue} {36} $

So you go step by step and do the math **first** the $ \ textcolor {blue} {30} $ times the $ \ textcolor {green} {3} $. You get $ \ textcolor {brown} {90} $. Add to this come from **step****two**:

$ \ textcolor {green} {20} \ cdot \ textcolor {blue} {30} $. The result is $ \ textcolor {brown} {600} $. You add these two values and you get $ \ textcolor {brown} {690} $.

**Step three** is $ \ textcolor {blue} {6} \ cdot \ textcolor {green} {3} $. The result is $ \ textcolor {brown} {18} $.

The **next****step** is the multiplication of $ \ textcolor {blue} {6} $ by $ \ textcolor {green} {20} $. The result is $ \ textcolor {brown} {120} $. Now you add the two results $ \ textcolor {brown} {18} $ and $ \ textcolor {brown} {120} $ and you get $ \ textcolor {brown} {138} $.

The **last step** is the addition of the two values, i.e. $ \ textcolor {brown} {690} + \ textcolor {brown} {138} $. We get $ \ textcolor {brown} {828} $. We write this number under one line so that we can see what the bill and what the **solution** is.

You do the same with them **further examples** in front.

*To find out more about this topic, have a look at the Exercises!*

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