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Ancient Egyptians were really good at Math - an easy way to multiply two numbers by davidnx

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· @davidnx ·
$0.23
Ancient Egyptians were really good at Math - an easy way to multiply two numbers
Did you know that the Ancient Egyptians were really good at Math?

Here, I'll show you one very clever trick they used for multiplication.
There's also a video from youtube at the end, so you can watch that if you feel the instructions here are not good enough.

![](https://steemitimages.com/DQmd2g8BL8ugg6ss5sf7kJzfGZcAN8QtAErFNxz92NYf4Be/image.png)
(pixabay.com)

## Instructions
Take two numbers to be multiplied - I will use 17 and 25 as those are the numbers used in the accompanying video.

So, we have,

17 x 25

## Step 1
With the first number (17) we need a list of numbers, starting at the number one, which doubles each time:

1
2
4
8
16
32
etc.

Next, we find the numbers in that list which, when added together will equal the number, i.e. 17.

1 + 16 = 17, so we have

**(1)**
2
4
8
**(16)**
32


## Step 2
With the second number for our multiplication (25), we make a list which doubles each time, but this time using 25 as the starting number:

25
50
100
200
400
800
etc.

We now put the two lists side by side:

**(1)**.....................25
2.......................50
4.......................100
8.......................200
**(16)**...................400
32......................800

## Step 3
Finally, we see which numbers in the second list correspond with the ones which we 'found' from the first list in Step 1 - that is the numbers in the second list which correspond to the numbers 1 and 16.

25 corresponds to 1, and 
400 corresponds to 16

We get the answer by adding these two numbers, 25 and 400 = 425

Therefore,

17 x 25 = 425

Here's the link to the youtube video:

https://youtu.be/B-Xo2SHJiYE?t=1m37s

<p><center>---------------------------------------------------------</center></p>
 
Thanks for looking at my post and..

<p><center>https://steemitimages.com/DQmTvw4CcGnxEBtR1xnT32ocdh3YhgB6fRYjPYYZsTei78f/image.png</center></p>
<p><center>(pixabay.com)</center></p>

<p>... be happy!</p>
<p><center>---------------------------------------------------------</center></p>


 

<p><center>https://steemitimages.com/DQmTrQMoAja9duug1cBcDu8Tfrb79kyVhqVW51RBjr5E2Y1/image.png</p>
<p><center>https://steemitimages.com/DQmad1rgqq3kQ59KmEfsjLtPZR2CsEibc8yWXWL9DWXQ32w/image.png</center></p>
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@analealsuarez ·
$0.02
Ilustrativo e interesante. Estas actividades nos dan idea de como brota la matemática en las diferentes culturas, para el mismo fin. El objetivo es multiplicar. Por ejemplo, los mayas también tenían su propio procedimiento, los chinos, en fin.  Esto es un indicio de que la matemática está en nuestro cerebro y evoluciona con nosotros.
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@cudavenguyen ·
Pretty cool trick. Just wondering if you have the proof for this method? Just curious. Thank you.
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@davidnx ·
I haven't done any real math in a long time, but I think this one should be pretty simple to prove. I'll see if I can do it. Or maybe you could try.
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@davidnx ·
Ok, I've now worked it out. At first, I couldn't figure it out, but a couple of glasses of wine (Don't worry! It's late evening here in Europe) helped me see that it's really quite simple.

We need to look at the second column:
25
50
100
200
...

What is this telling us?

It's just saying that:
1 x 25 = 25
2 x 25 = 50
4 x 25 = 100
8 x 25 = 200
16 x 26 = 400

The first column just tells us that:

17 = 16 + 1

So,

17 x 25 = (16 + 1) x 25
= (16 x 25) + (1 x 25)

Matching up the columns allows us to see that:
16 x 25 = 400
1 x 25 = 25

So,

17 x 25 = (16 + 1) x 25
= (16 x 25) + (1 x 25)
=400 + 25
=425
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@hauntedbrain ·
Damn 
Why i am seeing it now 
Thanks for sharing
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@math-trail ·
$0.03
Hi, I'd like to include a link to this article in the next math-trail magazine. I hope that's fine with you.

!-=o0o=-!

To follow curated math content follow @math-trail.
If you wish @math-trail to follow *you* then [read this article](https://steemit.com/mathematics/@math-trail/call-to-content-creators-with-mathematical-topics-math-trail-wants-to-follow-you-v-2).
Click here for [Mathematics forum on chainBB](https://beta.chainbb.com/forum/math)
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@davidnx ·
Yes, that's fine by me.
properties (22)
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@neilcrabbe ·
$0.10
That is quite clever for smaller numbers, say two digit numbers, but I think it gets hard quite quickly with larger numbers.

For example I tried 633 x 323. 633 is harder to work out on the numberline:

(1)
2
4
(8)
(16)
(32)
(64)
128
256
(512)

Then the 323 doubling each time gets tricky to do quite quickly:

323
646
1292
2584
5168
10336
20672
41344
82688
165376

Does it work? Yes it does, but even adding up all of the numbers is fairly complicated:

|633|323|
|---|---|
|(1)|_323_|
|2|646|
|4|1292|
|(8)|_2584_|
|(16)|_5168_|
|(32)|_10336_|
|(64)|_20672_|
|128|41344|
|256|82688|
|(512)|_165376_|

323 + 2,584 + 5,168 + 10,336 + 20,672 + 165,376 = _204,459_
633 x 323 = _204,459_

I think I'll stick with long multiplication.

Thanks for sharing, that was very interesting as you can probably tell by the fact I tried it myself.
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@davidnx ·
Yes, you are right. (Most of my posts are just for a bit of fun, though.)

Your reply has more content than the whole of my post. :)
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@neilcrabbe ·
Sorry, I have been known to waffle!
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@roop ·
This is how computers add up.
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@davidnx ·
Yes, it says that in the video.
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@roop ·
I was just perusing the comments without watching the video. How dumb do i feel now :-)
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@sami88 ·
Wow!
If they had mind for this.
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