Main content

### Course: 4th grade (2018 edition) > Unit 8

Lesson 1: Intro to place value# Creating the largest number

Sal arranges digits to make the largest possible number. Created by Sal Khan.

## Want to join the conversation?

- how would you make middle number?(24 votes)
- You would do that by using a decimal, like 1.5(28 votes)

- The digits 1 to 7 are used to create a four-digit code to enter a locked room. How many different codes are possible if the digits may not be repeated and the code must be an even number greater than 5000?(14 votes)
- its would be like a decima 900.038(0 votes)

- how do i create the largest number?(8 votes)
- Say you have the numbers 5 9 and 4 you would put 9 first then 5 and finally 4 so you have 954 Did this help?(14 votes)

- so it the highest form of 3219 9321?(8 votes)
- What is the biggest number? (Cannot be infinite or google-plex)(4 votes)
- There is no such thing as a biggest number because whatever you come up with, you can always add one to it which makes it that much bigger.(9 votes)

- Can you do place value in a zillion(8 votes)
- dude, i have no idea, try googling it.(0 votes)

- So if there is 1234 the biggest would 4321 and the smallest would be 1234(5 votes)
- yeah that is correct(5 votes)

- do you right one mileon five thousand four hundred and fiftey seven ? 1,5,457(5 votes)
- Arrange the digits 9,7,9,7,9, comma, 7, comma and 555 t(4 votes)
- I have a small doubt. That is when the least 4 - digit value (made by the numbers 2, 6, 0 and 1) was mentioned as 0126....

I think that this value is not true. Now that is because, if we place this value (0126) in the place value chart, the number would be considered as 126 that is One hundred twenty six. But the (optional) question states that you need to make the least 4 - digit value that is in the thousands place...

Can someone explain me why 0126 is the smallest 4 - digit number made?(4 votes)- Because 0 would count as a number even though it dosen't at the end of a decimal.So if you start with the smallest number, and carry on putting the smallest number, you would get it.(1 vote)

## Video transcript

Arrange the digits
2, 6, 0, and 1 so that you create the highest
possible four-digit number. So the way I like
to think about it is, if I'm trying to create as
large of a number as possible, I want to put the largest
numbers in the largest place value. So if it's a four-digit number--
so it's one, two, three, four-digit number--
whatever I put here, this is going to
represent thousands. Whatever I put here is
going to represent hundreds. Whatever I put here
represents tens. And whatever I put
here represents ones. So I want to maximize the
number of thousands I have. For example, the largest
number here is 6. I could make it 6,000. I could make it 600. I could make it 60,
or I could make it 6. Well if I want as large
a number as possible, I'm going to make it 6,000. Notice, if I put any other
number in that place value-- if I put a 0 there, I
would have no thousands. If I put 2 there,
I'd only have 2,000. If I put 1 there,
I'd only have 1,000. 6,000 is definitely
going to be bigger than any of the numbers
that could be constructed with the 2, 0, or 1 in
the thousands place. Now the exact same logic, we
want the next largest number in the hundreds place. So the next largest
number here is a 2. So I'm going to put
a 2 right over here. I'd rather have two hundreds
than zero hundreds or one hundreds. That's going to make it bigger. Then, same exact idea--
we want the next largest number in the tens place. I'd rather have one
10 than zero 10. And then we're just
left with the 0. So we're just going to
put the 0 right over here. So we can make 6,210. If I wanted to make the smallest
possible four-digit number, then I would
rearrange this, so I have the smallest possible
number in the thousands and the largest possible
number in the ones. So the smallest possible
number I could create is-- I'm going to be
careful-- 0, 1, 2, 6. So the smallest possible number,
if I just switch this around, would be 126 that I could
construct out of these digits. But this is what they asked for. So we'll give 6,210.