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What significance is there to the multiplication table of "Nines"?
10 Answers
- 1 decade agoFavorite Answer
If you look at each result the sum of the digits always will equal 9.
- S. B.Lv 61 decade ago
The digits of the multiples, other than multiples of 11, sum to 9. The digits sum to 18 for 9*11, 9*22, 9*33, ...
[Note: The digits of 9*101, 9*202, 9*303, etc. sum to 18, also. Check multiples of 110: 9*110, 9*220, etc. Patterns, abound.]
For multiples from 45 to 90, the digits are the reverse of lower multiples:
09,18, 27, 36, 45, 54, 63, 72, 81, 90.
- 1 decade ago
Nine is a magic number. If you multiply any number by nine and then add the digits of the resulting number, then you will get the nine itself. Little confusing? Well lets take an example. 9*4=36
add 3+6 = 9. Similarily - 9*7=63, 6+3 = 9.
- JimLv 71 decade ago
2 18
3 27
4 36
5 45
nope, don't see too much of a pattern. jk
8/9=.88888888888
7/9=.77777777777
etc. Now that's a pattern!
25 x 25 = 625
35 x 35 = 1225 etc
that's a beautiful pattern
2x3 = 6 'plus' 25 625
3x4 = 12 'plus' 25 is 1225
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up to 95 x 95 comes in very handy
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- gauchogirlLv 51 decade ago
Not only do the digits in the product always equal nine, but a handy trick is to use your fingers to find the product.
Pick any one of the equations. say 7x9=63.
Starting with your pinky on your left hand count seven to the right (you will end up at the pointer finger of your right hand).
Fold that finger down, and you will have the answer to the problem--63 (6 fingers to the left of the pointer; three to the right)
It works with all of them to 10x9
- Tenn GalLv 61 decade ago
If you add the numbers together in the answer they will always equal time.
Example: 2x9=18 1+8=9
12x9=108 1+8=9
The rule is in multiplying by 9, the sum of the digits (answer) is always 9.
- HelmutLv 71 decade ago
starting with 9*1, the left digit counts up from 0 to 9, while the right digit counts down from 9 to 0
- Anonymous1 decade ago
the product of any number multiplied by 9 will also have the sum of 9
9X2= (18) 1+8=9
9X3=(27) 2+7=9
9X14=(126) 1+2+6=9
- Anonymous1 decade ago
none