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### Course: Arithmetic (all content)>Unit 3

Lesson 9: Division intro

# Ways to represent division

Sal explains different ways to represent 18 divided by 2.  Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• this makes no sense i thought that there was only one way help
• All you need to no is your multiplication tables
• how to do two by two digit
• I don't get it, I've already been doing division for 2 years, and I'm in 6th grade this year,
why am i still watching videos on this subject?
• Pretend like you are a girl who counts brooms you need to divide some like this for example you have to know how many is half of 20 so you will get your number 20 and put one on your right and one on the left and do that until you are done then do that on the side of your paper on a test
• Can possible divided 352/2 from right side ?likly subtract first 2 and then 5 or 3
• how come I still don't get it. I barely know my multipucasion
• Where does the word division come from?
• "late 14c., from Old French division, from Latin divisionem (nominative divisio), from divid-, stem of dividere (see divide). Military sense is first recorded 1590s. Mathematical sense is from early 15c. The mathematical division sign supposedly was invented by British mathematician John Pell (1611-1685) who taught at Cambridge and Amsterdam."
• were does divishon come from
• Is there an easier way to do what you are doing with the drawing boxes? If you have 352 divided by 45 I don't think anybody would just draw out little boxes 352 times...It seems more complex for bigger numbers but I think it is great for small numbers.
• don't you know Vietnamese division is different than other countries.
(1 vote)

## Video transcript

What expression can be used to show dividing 18 boxes into two equals stacks? Find the expression three times using different ways to write division. Find the value of the expression. So let's just do this top part right here. We have 18 boxes, and we want to divide them into two equals stacks, so we want to divide 18 by 2. And the way we would write this, and we'll think a little bit more about what this means, we could write this as 18 over 2. This means 18 divided by 2. We could write it as 18 divided by 2, just like that, or we could write it as 18 divided by 2. Now before we evaluate it, they say find the value of the expression. Let's think about what this means. We have 18 boxes and we want to divide them into two equal stacks. Let me draw 18 boxes. So I have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12-- almost there-- 13, 14, 15, 16, 17, 18. So those are my 18 boxes, and I divide them into two equals stacks or two equal groups. So if I want to divide these into two different groups that have the same number of boxes, I could just eyeball it, and say, well, let's make these top ones one group. Let's make that one of the groups, and let's making these bottom ones another group. And these are equal groups. How many do we have in each group? Well, in the top one, we have one, two, three, four, five, six, seven, eight, nine, and in the bottom one we have one, two, three, four, five, six, seven, eight, nine. So we've split it into two groups of nine. So 18 divided into two equal groups is equal to 9, or 18 divided by 2 is equal to 9, or 2 goes into 18 nine times.