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### Course: Arithmetic (all content) > Unit 1

Lesson 7: Intro to place value- Finding place value
- Use place value blocks to show numbers within 1,000
- Place value blocks within 1,000
- Place value tables within 1,000
- Place value tables within 1,000
- Identifying value in digits
- Identify value of a digit
- Creating the largest number
- Create the largest number
- Creating largest or smallest number
- Place value blocks
- Place value blocks
- Place value: comparing same digit in different places
- Whole number place value review

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# Place value: comparing same digit in different places

Learn the relationship between a "4" in the hundreds place and a "4" in the thousands place. Created by Sal Khan.

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- In my own words the place value relationship when the same two digits are next to each other in a multi digit number(6 votes)
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Zophia Swirsky out(2 votes) - this help me! big. big big(2 votes)
- so the place value is correct?(2 votes)
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- Relate the value of the red digit to the value of the blue digit in 709,946,107

(The red number is 9,000,000 and the blue number is 900,000)(1 vote) - THX for the help really apprisat it(1 vote)

## Video transcript

I've written out two numbers
here, and they both contain 4. They each have 4
as a digit, and I want to think about what
the values of these 4's are and to actually compare them. So I encourage you
to pause the video and try that out on your own. So let's look at
the two 4's here. So in 110,413, I have
a 4 right over here. And what does that
actually represent? Well, this is the ones place. You have three 1's. You have one 10's. And the 4 is in
the hundreds place. You have four 100's. So this 4 literally represents
4 times 100, or 400. Now, what about this 4? Well, once again,
you have zero 1's. You have five 10's. You have three 100's. And you have four 1,000's. So this literally represents
4 times 1,000, which is 4,000. So we can now compare the two. The 4 in 110,413 is 1/10 the
value of the 4 in 54,350. And it makes complete sense. This 4 is one place to
the right of this 4. This 4 is in the thousands. The magenta-circled
4 is in the hundreds. So every time we move a
place value to the right, each increment
represents 1/10 as much, assuming we have the same digit. So a 4 in thousands is 4,000. A 4 in hundreds would
be 1/10 as much. A 4 in the tens would
be 1/10 as much as that. So we could write a sentence. Let me write it this way. The value of the
4 in this number is 1/10 the value of
the 4 in this number. I know it's a little
bit weird sentence. The value of the 4 in 110,413
is 1/10 the value of the 4 in 54,350.