Let us recall the multiples of 9.

Do you notice any pattern of the multiples? That is of course aside from the pattern of having 9 added to previous entries. To make it easier for us to look for patterns, let us separate the digits of the multiples.

Now, let us look at the leftmost digit of the multiple. Do you see any pattern now? Have you notice of any relation of the digits from the topmost until the bottom?

If you notice, the digits are in ascending order from 1 - 9. A very simple pattern.

Let us look at the rightmost digits. Do you see any pattern?

I know you have noticed that the rightmost digits are arranged in descending order from 0 - 9.

If we combine the patterns:

This applies to the next multiples of 9. A very simple patter that you could teach your students, friends, brother or sister. Hope you like it.

Your comments and suggestions are welcome here. Just write them in the comment box below. Thank you!

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