PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: Very high Entry average rating: Very high
[parent] table of multiplication up to 12 (Data Structure)

Because of the commutative property of multiplication, it does not matter if the row or the column gives the first operand.

$ \times$ 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144

Obviously the longest northwest to southeast diagonal contains numbers of the form $ n^2$.



"table of multiplication up to 12" is owned by PrimeFan.
(view preamble)

View style:


This object's parent.

Attachments:
how to use a table (Example) by rspuzio
Log in to rate this entry.
(view current ratings)

Cross-references: contains, diagonal, column, row, multiplication, property, commutative

This is version 3 of table of multiplication up to 12, born on 2007-01-19, modified 2007-04-18.
Object id is 8799, canonical name is TableOfMultiplicationUpTo12.
Accessed 1741 times total.

Classification:
AMS MSC11B25 (Number theory :: Sequences and sets :: Arithmetic progressions)
 00A05 (General :: General and miscellaneous specific topics :: General mathematics)
 00A06 (General :: General and miscellaneous specific topics :: Mathematics for nonmathematicians )

Pending Errata and Addenda
None.
[ View all 2 ]
Discussion
Style: Expand: Order:
forum policy
Foreseeable comments for the basic arithmetic tables up to 12 by PrimeFan on 2007-01-19 18:34:25
Q: Why go up to 12? Why not stop at 10?
A: I suppose it just goes to show how old I am.

Q: Why put rows and columns for 1 in the multiplication and division tables? Aren't they just duplicates of the 'zeroeth' rows and columns?
A: They are in fact almost the same thing. But I wanted those tables to look to be about the same size as those for addition and subtraction.

Q: May I suggest a better way for handling precision in the division table while not making the table too much larger?
A: Please do. I'll be grateful for it.

Q: May I point out a mistake in the x operator y cell?
A: Please. I'll also be grateful for it. I did all these tables without the aid of a calculator, so it's possible I've screwed up somewhere.

Q: What about those examples for Conway's game of life?
A: Postponed another day.
[ reply | up ]

Interact
post | correct | update request | add example | add (any)