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### Memorizing Multiplication Facts

```
Date: 02/25/2001 at 19:47:13
From: Kelsey Finchen
Subject: Memorizing Multiplication Facts

I can't remember my multiplication facts. I have flash cards, but they
don't work. Can you heip me?
```

```
Date: 02/27/2001 at 18:01:40
From: Doctor Ian
Subject: Re: Memorizing Multiplication Facts

Hi Kelsey,

Ultimately, memorization comes from familiarity, but it's usually a
good idea to avoid trying to learn too much at one time. So if I were

*   1   2   3
+------------
1 | 1   2   3
|
2 | 2   4   6
|
3 | 3   6   9

Make sure you know this table _cold_... and then add _one_ more number
to the table:

*   1   2   3   4
+---------------
1 | 1   2   3   4
|
2 | 2   4   6   8
|
3 | 3   6   9  12
|
4 | 4   8  12  16

The table looks a little more imposing, but you'll already know most
of it from the previous step, so you're really only learning a few
more facts.

When you know _this_ table cold, then add one more number, and keep
going. Before you know it, you'll be up to 10 by 10.

It might help to note that each row is the series of numbers that you
get when you 'count by 2', or 'count by 3', and so on:

*   1   2   3   4
+---------------
1 | 1   2   3   4    <-  Counting by 1's
|
2 | 2   4   6   8    <-  Counting by 2's
|
3 | 3   6   9  12    <-  Counting by 3's
|
4 | 4   8  12  16    <-  Counting by 4's

So if you practice counting 'by' various numbers, that will give you
some familiarity with the facts for that number, even though it may
not feel like you're really learning anything.

If the tables start looking too big, remember that the order in which
you multiply numbers doesn't matter, so you can really ignore almost
half the table:

*   1   2   3   4
+---------------
1 | 1   2   3   4
|
2 |     4   6   8
|
3 |         9  12
|
4 |            16

You can find more tips in the Dr. Math FAQ, at

http://mathforum.org/dr.math/faq/faq.learn.multiply.html

more, or if you have any other questions.

- Doctor Ian, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Elementary Multiplication

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