Multiplication Table Question

In summary, the conversation discusses the reasoning behind why multiplication tables for grade school students often go up to 12x12 instead of just 9x9. The main reasons mentioned are that the number 12 is a common and frequently used denomination, and that knowing multiples of 11 and 12 by heart can be faster than calculating them as 10+1 and 10+2. It is also noted that knowing some facts beyond 12 can be convenient or come from experience. The historical context of the dozen and its relation to the UK currency is also mentioned.
  • #1
Thecla
132
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?
 
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  • #2
Quickest guess is that DOZEN is a common or frequently used denomination or set of increments.
 
  • #3
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!)
 
  • #4
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.
 
  • #5
Thanks for the help. I forgot about the dozen
 
  • #6
In the UK it goes back to before 1972 when our currency had 12 pennies to 1 shilling.
 

1. What is a multiplication table?

A multiplication table is a mathematical chart that displays the products of two numbers. It is used to help with multiplication calculations and memorization.

2. How do you read a multiplication table?

To read a multiplication table, find the two numbers you want to multiply on the left and top of the table. Then, follow the corresponding row and column until they intersect. The number at the intersection is the product of the two numbers.

3. Why is learning the multiplication table important?

Learning the multiplication table is important because it helps with basic math skills and builds a foundation for more advanced mathematical concepts. It also saves time and effort when solving multiplication problems.

4. Are there any tricks to memorize the multiplication table?

Yes, there are various tricks and techniques that can help with memorizing the multiplication table. Some examples include using patterns, mnemonic devices, and practicing regularly.

5. Can a multiplication table be used for division?

Yes, a multiplication table can be used for division. The inverse operation of multiplication is division, so by using the numbers in the table, you can find the quotients for division problems.

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