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### Course: Arithmetic > Unit 5

Lesson 5: How 10 relates to place value# Understanding place value

Sal discusses how a digit in one place represents ten times what it represents in the place to its right. Created by Sal Khan.

## Want to join the conversation?

- I don't understand the question which involve LEFT.

someone here to assist me.(14 votes)- hey imagin theres 1 arrow going left and another one facing right and there a number like this one here 450 add that number with this one here 390 add them from right to left bc the anwser is gonno be 840(8 votes)

- Im struggling with understanding place value and place value multiplying and dividing by 10(8 votes)
- Let's say you have a number 0001.0000 (the zeroes before and after the one don't hold any value) if you were to multiply this number by 10 you would move the decimal to the right once so the new number would be 00010.00 multiply it by 10 again and you get 000100.0(6 votes)

- how do you know it could be ten times the value even if

you can times by any number.(5 votes) - So the 25430 can be more than 2543 although they're almost the same numbers?(3 votes)
- Yes, 25430 will always be more, Cause they have a number in a high place value, and the other number doesnt have a number in that place value,

5 numbers > 4 numbers

The additional 0 makes it more(4 votes)

- Why wasn't the second 7 100 times less than the first?

To get from 70,000 to 700,000 you must multiply that by 100 to get 700,00. SO why is it 10 and not 100?(4 votes) - What is the place value of '0' in this number 60942(2 votes)
- It is the thousands place, and the number would be written like this: 60,942.(3 votes)

- Why can a number like 221,300 become a smaller number when divided by ten?(3 votes)
- what i dont get is one of he examples where it says, for example, change 31 to represent it in four different ways. you have to put certain numbers in the tens and units place value. can anyone help me? :((3 votes)
- I'm in 4th grade and... um I still don't understand this even after learning all this but thank you khan academy for helping me know this. :) :) :) :) :) :) :) :)(3 votes)
- Thanks for posting this it is helpful. But can you tell me another video that might hep some more?(2 votes)
- finding a numbers place value might help,it'll tell how to find place value,so you'll know which is which,i hope this helps.(2 votes)

## Video transcript

The 4 in the number
5,634 is blank times blank than the 4 in
the number 12,749. So let's think about
what they're saying. So the 4 in the number 5,634,
that's literally in the ones place. It literally just represents 4. Now, the 4 in the number 12,749,
that 4 is in the tens place. It represents 40. So this 4, it's a 10 times
smaller value than this 4. Or this 4, I should say. This 4 right over
here represents 4, while this represents 40. So it is 10 times smaller
than the 4 in 12,749. 4 by itself is 10
times smaller than 40. Make sure I got
the right answer. Let's do another one. In the number 3,779,264,
how many times less is the value of the second 7
than the value of the first 7? How many times less is
the value of the second 7 than the value of the first 7? So the second 7 right over here,
that's in the ten thousands place. It literally represents 70,000,
7 ten thousands, or 70,000, while this represents 700
thousands, or 700,000. So the second 7 is 1/10
the value of the first 7. Or another way of thinking,
it's 10 times less. This is 70,000, and
this is 700,000. So the value of the
second 7 is 10 times less than the value of the first 7. Let's do one more. This is fun. Fill in the following
blanks to complete the relationships
between 25,430 and 2,543. All right, so 25,430 is 10
times larger than 2,543. Literally, you take this,
you multiply it by 10, you're going to get 25,430. The digits in
25,430 are one place to the blank of the digits
in the number 2,543. Well, let's think about it. Here you have a 2 in
the thousands place. Here you have a 2 in
the ten thousands place. Here you have a 5 in
the hundreds place. Here you have a 5 in
the thousands place. And we could keep going. But what we see is a
corresponding digit. In 25,430, they're one place
to the left of the digits right over here. Now, finally, we're
going to take 25,430 and divide it by 2,543. Well, we already know that the
first number is 10 times larger than this number
right over here. So literally, if you divide the
smaller number into the larger one, you're going to get 10. This right over here is
10 times larger than this. So that was the first part of
the question, and we are done.