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#286495 01/02/07 05:52 PM
Joined: Nov 2006
Posts: 27
aleish Offline OP
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Joined: Nov 2006
Posts: 27
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321


1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111



9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888


Brilliant, isn't it?
And finally, take a look at this symmetry:

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111=123456789 87654321


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Wolf
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Wolf
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Posts: 5,004
talking of 9, multiply 9 by any number and add numerals. It will be 9.

Joined: Feb 2007
Posts: 52
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Amoeba
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Amoeba
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Posts: 52
Thats really cool. Have you ever heard of this math joke.

A boy who is in elementry school is taking a test on his multiplacation facts, but he forgot to study. This is what his paper looked like....He starts out saying, " o, ofcourse I know what 9x1 is, its 9. So then he writes it.

1.) 1x9= 9
2.) 2x9=
3.) 3x9=
4.) 4x9=
5.) 5x9=
6.) 6x9=
7.) 7x9=
8.) 8x9=
9.) 9x9=

But then he says, "hmmmm...I don't know what the rest are so I am going count all of the problems that I don't know.

1.) 1x9= 9
2.) 2x9= 1
3.) 3x9= 2
4.) 4x9= 3
5.) 5x9= 4
6.) 6x9= 5
7.) 7x9= 6
8.) 8x9= 7
9.) 9x9= 8

Then, the boy says, "O, Wait! I think I counted that wrong. Let me count that again. This time he starts counting from the bottom up.

1.) 1x9= 9
2.) 2x9= 18
3.) 3x9= 27
4.) 4x9= 36
5.) 5x9= 45
6.) 6x9= 54
7.) 7x9= 63
8.) 8x9= 72
9.) 9x9= 81

The boy starting to get frustrated says to himself, "O, well, I guess that I will just turn in my paper and hope that I do ok. I hope that my mom won't get too mad at me for not studing".

Joined: Feb 2007
Posts: 10
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Newbie
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Did you ever multiply by 9 using your fingers? If anyone's interested I'll tell you how.

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Posts: 52
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Amoeba
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Amoeba
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Posts: 52
I would love to learn. Someone taught that to me a while back, but I forgot it.

-Laura-

Joined: Feb 2007
Posts: 10
L
Newbie
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Posts: 10
Okay, place your hands in front of you and number your fingers from left to right as 1 through 10.

If you want to multiply 9 x 6, place your 6th finger (your right thumb) underneath your palm. You're left with 5 fingers on the left of the missing finger and 4 on the right...54.

Multiply 9 x 2. Bend your 2nd finger (ring finger on left hand) under. You're left with 1 finger to the left of the missing finger and 8 to the right...18.

Cool huh? Helps me remember.

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Posts: 52
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Amoeba
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Posts: 52
Thats is so cool.


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