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Did you know the Mayans used a Base-20 Number System (Vigesimal)? Unlike our modern Decimal System (Base-10), the pre-Columbian Maya civilization calculated everything in groups of twenty.

In this lesson, you will learn how they could represent any number using just three simple symbols: a shell (0), a dot (1), and a bar (5). This system was one of the most advanced of its time!

O sistema de numeração maia adotado pela civilização pré-colombiana dos Maias é um sistema de numeração vigesimal, ou seja, tem base vinte.

Os maias desenvolveram um sistema de numeração que podia representar qualquer número com apenas três símbolos. Uma concha representava o zero, um ponto representava o número 1 e uma barrinha o número 5. Nós usamos um sistema decimal posicional de base 10, já os maias usavam um sistema vigesimal.
Transcrição
00:00Did you know that people who lived in Mexico and Guatemala developed a very advanced form of mathematics?
00:15Ingenious? Well then, follow along with this lesson as we get to know these people.
00:23In Central America and parts of North America, the Aztecs and the Mayans lived long before Christopher Columbus arrived in the new continent.
00:39Around the year 500 AD, they used a base-20 numbering system. This means they grouped quantities in tens.
00:52Numbers were represented by a combination of dots and dashes, as we will now show in this image.
01:01Notice in this image that we have the number 0, which is represented by an eye.
01:06The number 1 is one point, the number 2 is two points, the number 3 is three points, and the number 4 is four points.
01:15The number 5, however, is represented by a dash.
01:18So, if we now have the number 5 represented by a dash, then to represent 6, we add 1 plus 5.
01:27So, a dash plus a dot represents the number 6, as you can see in the image.
01:33And so it goes on, one after another.
01:36The 7 is a line with two dots, then there's the 8, the 9.
01:40For example, 10 is 5 plus 5, so we put two dashes.
01:46And now let's jump to number 19, for example.
01:49In the number 19, we have three dashes and four dots, which represents the number 19.
01:55By the number 20, we already have an eye with a dot.
01:59And so, the Maya represented their numbers.
02:02One of the most important creations of the Maya was the use of the eye-like symbol, as you can see in the image, to represent zero.
02:16Now let's look at how the Maya represented, for example, the numbers 151 and 260.
02:24They represented it that way.
02:26Now let's understand the mathematics behind this.
02:29To better understand how they represented it, and we've already seen that they group them in tens.
02:38So let's take 151 and divide it by 20.
02:42Thus we will have the quotient and we will have the remainder.
02:45And we'll also take the 260 and do the same thing.
02:50Therefore, we have 151 divided by 20.
02:54In other words, we have a quotient of 7 and a remainder of 11.
02:58Because 151 divided by 20 equals 7 with a remainder of 11.
03:04So what do we have?
03:057 times 20 plus 11 equals 151.
03:10Therefore, it is represented in this way.
03:14The number 151.
03:18Now we're going to number 260.
03:21So here we have 260 divided by 20.
03:26Therefore, we have a quotient of 13 and a remainder of 0.
03:30Why?
03:31Because 13 times 20 plus 0 equals 260.
03:37Below you can see how the number 260 is represented in the Mayan numbering system.
03:45So, everyone, this lesson is going to end here.
03:51And I ask that you subscribe to the channel, leave your like, and share our videos.
03:57Until next time!
03:58Transcription and subtitles by Dear Child of God.
04:02Transcription and subtitles by Dear Child of God.
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