Main content

## 4th grade (Eureka Math/EngageNY)

### Unit 1: Lesson 1

Topic A: Place value of multi-digit whole numbers- Place value blocks
- Place value blocks
- Place value tables
- Place value tables
- Comparing with multiplication
- Comparing with multiplication and addition: giraffe
- Compare with multiplication
- Finding place value
- Identify value of a digit
- Creating the largest number
- Creating largest or smallest number
- Multiplying whole numbers by 10
- Multiply whole numbers by 10
- Dividing whole numbers by 10
- Divide whole numbers by 10
- Multiply and divide by 10
- Understanding place value
- Place value when multiplying and dividing by 10
- Place value when multiplying and dividing by 10
- Writing numbers in words and standard form
- Writing a number in expanded form
- Write whole numbers in expanded form
- Whole numbers in expanded form review
- Write numbers in written form
- Whole numbers in written form review
- Regrouping numbers into various place values
- Regrouping whole number place values
- Adding whole numbers by their place values
- Regroup whole numbers

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# Creating the largest number

CCSS.Math:

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

## Want to join the conversation?

- if you have a number like this, one million, two hundred thirty-four thousand, five hundred seven, will you write it like this? 1,234,507?(7 votes)
- how would you make middle number?(5 votes)
- You would do that by using a decimal, like 1.5(7 votes)

- VictorD

8 days ago

Posted 8 days ago. Direct link to VictorD's post “Arrange the digits 2, 6, ...”

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.

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Video on YouTube(6 votes) - 10000000000000 times 2000000000000(4 votes)
- what collor is the sky?(3 votes)
- what do you mean creating the largest possible number?(3 votes)
- Hi,

Can you guys tell me what i should do when there is two number which is the same what should i do.please.^^(2 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?(2 votes)
- HMM MABYE IS a billion(1 vote)

- at2:10he give away the answer(2 votes)
- how can you put 300,99 together?(2 votes)

## 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.