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### Course: Get ready for 5th grade>Unit 4

Lesson 4: Multi-digit division: place value and area models

# Division using place value

Sal uses an understanding of place value to divide 5600÷8 and 846÷2.

## Want to join the conversation?

• How Sal could divide before multiply. According to PEMDAS multiplying come first?
• PEMDAS, Parenthases, exponents, multiplication, division, addition, subtraction.

This order is correct, but you sometimes also see BEDMAS, brackets, exponents... and so on. This is because +- can be done in either order, the same is also true for */
• This is off topic but can you divide by 0?
• This is a very good question, and the answer is important to understand.

Division by 0 is not a well-defined operation. There are two situations to consider when dividing by 0. If you take calculus later on, you will need to be able to tell the difference between these two situations.

Situation 1: If we divide 0 by 0, then this is the same as asking what number times 0 is 0. Any number times 0 is 0, so 0/0 can have any value. So 0/0 is called indeterminate.

Situation 2: Let x be any nonzero number (a number other than 0). If we divide x by 0, this is the same as asking what number times 0 is x. No number times 0 can be the nonzero number x, so x/0 cannot have a value. So x/0 is called undefined. Also x/0 can be thought of as positively or negatively infinite, because if we divide the nonzero number x by a number that is very near 0, the answer would be very far from 0.

(Note well: dividing a number by 0 is generally not the same as dividing 0 by a number. Zero divided by any nonzero number is just 0.)
• Talks about Long Division before even bringing up what it is? Why not introduce it first?
• You won't understand how to do it if you tried to do it first, the Estimation, Area Models and these Division place value questions are there to help prepare your brain and create the right connections it needs to understand by breaking up the numbers, every Concept you do Addition, Subtraction, Multiplication, Division... always require you to see it quite differently so it's worth going through this so you can understand what to do when you get to doing it using Carrying/Regrouping, which is when you'll see it all coming together nicely :)

Each Unit always starts off with this Estimation, Area Model stuff or whatever other stuff it has to get you to break up the numbers first and also encourages you to check your work, THEN the other bit is to start learning to do it as Carrying/Regrouping, with Division however because there's also Remainders involved you've got a bit more preparation to do but it's worth it in the end.
• so if its missing numbers in divison ? divided by 2=8 we can do 8 times 2 that is 16 and 16 is the missing number can it be true.
• what if you still don't get the video and the problem it is asking and there is no one there to help you and you cant go look for someone to help you?
• at what is long division
and how do I do it
• Long division is a method of solving division problems on written paper. (it might be kind of hard to show, but I'll try)
For the sake of time and space, I'm going to use the example 440 divided by 2. Now, there are other ways of solving this, but hopefully, this will show you the long division version.
So first, you want to set up your "box" (the one he draws at ) Since 440 is being divided by 2, 2 goes on the outside of the "box" (where 8 is) and 440 will go inside.
Now, we're kind of going to split this up to make it easier. We're going to read it left to right and divide by each digit. So we'll start with 4 divided by 2 (the 4 came from the first digit in 440) Hopefully, you know that equals 2. So you will put a 2 above the 4 (the first digit in 440 again) and on top of the line.
Now you have to ask yourself what 2 times 2 is. (basically what number you came out with) It is important to know that the number will not always go exactly into the number inside the box exactly. In that scenario, you will get as close as you can without "going over" and then decide what the product of that number and the number outside the box is. In this case, it is 4.
So now, we put a 4 under the first 4 to represent that and subtract those two numbers to get 0. Basically, we're checking for anything leftover. Now, we "bring down" the next number that comes from 440 which is the second 4. (I usually draw arrows to show this) So if you bring it down, it becomes 04.
Now, you do the same thing you did at first but with 04 (which is the same anyways). So 2 goes into 4 twice. You would put a 2 next to your other 2 on the top of the line and then subtract 4-4 (to check for extras again) Lastly, you bring down the 0 and because 2 goes into 0 "zero" times, you add a 0 to the twos. Your answer should be 220.
I know it can seem like a lot at first, but you'll get used to it, and eventually, you might even enjoy it. I'm not sure this really made much sense, but I'm sure you could find a visual explanation somewhere.
• does it work the same as dividing with decimals?
• yes pretty much. only difference is you add the decimal point based on the number of decimal places in the two numbers. example : 2.5/ 2 = 1.25
• It is a little hard for me.
• Look at allisonm's comment section
(1 vote)
• i stell dont not under stand