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Surprising Number Patterns Part III – Pola Bilangan Menakjubkan Bag. III

Here are some more charmers of mathematics that depend on the surprising
nature of its number system. Again, not many words are needed to
demonstrate the charm, for it is obvious at first sight. Just look, enjoy,
and spread these amazing properties to your students. Let them appreciate
the patterns and, if possible, try to look for an “explanation” for this. You
might ask them why multiplying by 9 might give such unusual results.
Once they see that 9 is one less than the base 10, they might get other
ideas to develop multiplication patterns. A clue might be to have them
consider multiplying by 11 (one greater than the base) to search for a
pattern.
0 . 9 + 1 = 1
1 . 9 + 2 = 11
12 . 9 + 3 = 111
123 . 9 + 4 = 1111
1234 . 9 + 5 = 11111
12345 . 9 + 6 = 111111
123456 . 9 + 7 = 1111111
1234567 . 9 + 8 = 11111111
12345678 . 9 + 9 = 111111111

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Surprising Number Patterns Part II – Pola Bilangan Menakjubkan Bag. II

Here are some more charmers of mathematics that depend on the surprising
nature of its number system. Again, not many words are needed to
demonstrate the charm, for it is obvious at first sight. Just look, enjoy, and
share these amazing properties with your students. Let them appreciate
the patterns and, if possible, try to look for an “explanation” for this.
12345679 . 9 = 111111111
12345679 . 18 = 222222222
12345679 . 27 = 333333333
12345679 . 36 = 444444444
12345679 . 45 = 555555555
12345679 . 54 = 666666666
12345679 . 63 = 777777777
12345679 . 72 = 888888888
12345679 . 81 = 999999999

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Surprising Number Patterns Part I – Pola Bilangan Menakjubkan Bag. I

There are times when the charm of mathematics lies in the surprising
nature of its number system. There are not many words needed to demonstrate
this charm. It is obvious from the patterns attained. Look, enjoy, and
spread these amazing properties to your students. Let them appreciate the
patterns and, if possible, try to look for an “explanation” for this. Most
important is that the students can get an appreciation for the beauty in
these number patterns.
1 . 1 = 1
11 . 11 = 121
111 . 111 = 12321
1111 . 1111 = 1234321
11111 . 11111 = 123454321
111111 . 111111 = 12345654321
1111111 . 1111111 = 1234567654321
11111111 . 11111111 = 123456787654321
111111111 . 111111111 = 12345678987654321

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