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In the previous video we learned about the Mayan number system,
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which has the characteristic of functioning in base 20 instead of base 10, like our decimal system does.
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Now it's time to apply the number system with arithmetic.
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Let's learn how to do addition.
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For example, 85+123.
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Now let's write these quantities in the Mayan number system and arrange them in a matrix.
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We know the result of this addition is 208,
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and the technique to apply addition within the matrix is very simple.
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You just put together the symbols contained in the cells in each row,
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rewrite if necessary and see if you are not exceeding the last
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Mayan number system symbol available, which in this example we are not.
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Let's see another case, for example 15+5.
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We know that the result will be 20
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but how will this work within our matrix?
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Let's write the Mayan number symbols for each quantity.
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Now put them together in one cell.
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In this example, we exceed the last Mayan number system symbol available.
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So we need to using rewrite the next digit position.
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Now it's time to analyze substraction.
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Let's do 101-2,
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which we know the result is 99.
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But on the matrix something very interesting is going to happen.
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The key to solve this subtraction is by breaking the Mayan number system symbols whenever it's necessary.
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The 5'th Mayan symbol on the 2'nd row which is a line, can be broken into 5 dots.
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At the same time, one of the dots can be broken into
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4 lines but in the 1st cell of the 1st row.
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Now let's break one of those lines into 5 dots.
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Next, we just eliminate the same amount of dots for both cells in the 1st
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row and finally move the remaining symbols to the result column.
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Now, let's learn multiplication.
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For example, 28 x 2. We know the result is 56.
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In this case, we need to write 2 times the symbols contained in each of the cells.
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But, you still have to rewrite correctly when necessary.
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Finally, we're going to see an example of division.
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For instance, 40 divided by 5,
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which we know the result is 8.
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In this case, we have to break the symbol contained in the 1st cell of the 2nd row
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and pair it with the 2nd cell of the 1st row.
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Now we have to find how many times does the line symbol appear?
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which we already know is 8.
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So far, we have seen the basics of the Mayan number system and its arithmetic.
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We encourage you to practice by doing other examples
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and read more about this amazing meso-american culture.