Question #ae3be
2 Answers
where the
Explanation:
It is difficult to explain the traditional approach with just writing so I am going to use a variant on it. It is unlikely that you have seen this before. Really it is the same thing. It just looks different.
It uses an accumulated adjustment approach.
For example
2 is the same as
20 is the same as
200 is the same as
combining this we have
This concept is applied every time we wish to divide 11 into a number that is less than 11.
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Write 2 as
Write 9 as
Write 2 as
Write 9 as
From this there is a repeating pattern showing.
So we have
For the 'pink' colours we have
So for repeating cycle of numbers we have:
where the
Explanation:
Now, when a decimal goes on forever with a pattern, then you can use a bar on top of the pattern. (e.g.
Here is an interesting rule...
and so on.
For example,
Let's turn
Using our first rule, we see that