Multiplication Table Question

AI Thread Summary
Multiplication tables for grade school students typically extend to 12x12 due to the significance of the dozen as a common unit, making calculations like 11 and 12 times quicker to recall than using addition. The inclusion of 12 helps facilitate mental and written multiplication skills, although students can memorize higher numbers if desired. Beyond 12, some multiplication facts can be useful based on experience, such as squares of numbers or practical applications like card games. The historical context of the dozen is also noted, particularly in relation to the UK’s currency system prior to 1972. Understanding these factors highlights the rationale behind the structure of multiplication tables.
Thecla
Messages
136
Reaction score
10
Why do many multiplication tables for grade school students go up to 12x12, when a table up to 9x9 is sufficient for any multiplication problem?
 
Mathematics news on Phys.org
Quickest guess is that DOZEN is a common or frequently used denomination or set of increments.
 
Because knowing "11 times" and "12 times" by heart is a little faster than doing it as 10+ 1 and 10+ 2. And, as symbolipoint said, dozens are used often enough to make that useful. (11 just gets in the way!)
 
Twelves is just a little bit beyond the basic multiplication facts necessary for both mental and manually written competence with performing multiplication computations. Nothing really stops a person from memorizing up to 13 or up to 16 or 17, or whatever one wants to know or memorize. Beyond twelves, knowing a few facts can be convenient or can come through experience: 13 squared is 169; 14 squared is 196; 15 squared is 225; 52 is the typical amount of cards in a set of playing-cards, and from this one may know 13*4=52.
 
Thanks for the help. I forgot about the dozen
 
In the UK it goes back to before 1972 when our currency had 12 pennies to 1 shilling.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

Similar threads

Replies
4
Views
1K
Replies
5
Views
2K
Replies
50
Views
5K
Replies
14
Views
2K
Replies
3
Views
1K
Replies
15
Views
3K
Back
Top