Division tables are designed to be completed in a very specific way for the best possible results. Do division tables with help from an MIT Masters Candidate in Aero/Astro Engineering in this free video clip.

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Division tables are designed to be completed in a very specific way for the best possible results. Do division tables with help from an MIT Masters Candidate in Aero/Astro Engineering in this free video clip.

Part of the Video Series: Mathematics: Division & More

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Hi there. This is Ryan Malloy here at the Worldwide Center of Mathematics. In this video, we're going to discuss how to do division tables. And here we have a division table from one through nine, let's say that the top numbers represent the dividends and the numbers along the side are the divisors. And of course, the numbers in the squares will represent the quotients. So, for example if we were to do four and two, corresponding answer will be two because four divided by two is two. Rather than go through each one of these one by one, it's helpful to find patterns. First off, any number divided by one will give the original number again. So, we can simply fill in this row like this. Now, any number divided by itself just gives one. So, this diagonal can be filled in right away. Okay. One divided by any of these numbers will give a fraction with that number on the bottom, with 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8 and 1/9. Great. So, let's look at the even numbers and divide them by two. Six divided by two is three, eight divided by two is four. Okay. Let's look for some other numbers that might be easy. We know that eight divided by four is two; we know that, let's see here, nine divided by three is three. Great. Now, a lot of these will end up just being fractions; so, let's go ahead and compute some. Some, if three divided by two will not reduce at all; 3/4, 3/5; but 3/6 can reduce to 1/2; 2/7, 3/8 and 3/9 can reduce to 1/3. Let's do this column; 2/3, 2/4 becomes 1/2, 2/5, 2/6 becomes 2/3 or sorry, 1/3, 2/7 stays as it is. You notice that every other entry simplifies here; 2/8 becomes 1/4 and 2/9 stays as it is. Let's do the four's; 4/3, 4/5, 4/6 can simplify, 2/3, 4/7, 4/8 can simplify to 1/2 and 4/9 and so on and so forth. Simply compute the fractions and then if they can be reduced, reduce them. My name is Ryan Malloy, and we've just discussed how to do division tables.