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.

written multiplication of $ 23 $ and $ 36 $

In the writtenmultiplication 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 steptwo:

$ \ 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 nextstep 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!