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## Arithmetic (all content)

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

Lesson 8: How 10 relates to place value

# Comparing place values

Sal compares numbers in different place values. Created by Sal Khan.

## Want to join the conversation?

• how does this help me in pre algebra
• Place values are important for understanding numbers in general. It matters less afterwards in algebra because the focus on numbers changes to a focus on functions, but while you're in pre algebra you're still looking at how numbers work with each other and how to do different operations.
• Compare the values of the underlined digits
6,300 (3)is underlined and 530 (3)is also underlined
Then the question is
The value of the 3 in ____ is ____ times the value of 3 in ____
• This is asking you to compare the place values.
The 3 in 6300 is in the hundreds place.
The 3 in 530 is in the tens place.
How does 300 compare to 30? That is what it is looking for. Try to figure it out. Comment back if you get stuck, but tell me what you tried to do or why you are stuck. And, I'll help.
• how high up can you go for the place value os a number?
• explain how to write twelve hundred-thousandths
• or did you mean .00012. good luck or did you mean 1.200
• so if i add 100 zeros to 9 what number will i get
(1 vote)
• is there a simpler method to do this
(1 vote)
• Hi sal I'm 7 th greade and I'm doing this because my goal it to master a topic and I am having hard times doing that
(1 vote)
• Explain the relationship between place values, and how the place values change as you go to the left and to the right. Use the numbers 10, 1, and 0.1 in your explanation.? what will it be
(1 vote)
• What is the value of digit 9 of 913,256.?
(1 vote)
• Write the value of the digit 913,256.
(1 vote)
• Its so easy its 9,00,000+10,000+3,000+200+50+6
Alexzander Malalaying America
(1 vote)

## Video transcript

We have the number 43,249. Now, what I want you to think about is what these two 4's actually represent and how much more value is represented by this first 4, this 4 on the left, than this 4 on the right. And I encourage you to pause this video and think about that. So let's just think about what each of these digits represent. So the 9 is in the ones place. So it literally represents 9 ones. This 4 on the right, I should say, is in the tens place so it literally represents 4 tens, or 4 times 10, or 40. This 2 is in the hundreds place, so it literally represents 2 hundreds, or 200. This 3 is in the thousands place, so it represents 3 thousands. And then the 4 on the left is in the ten thousands place. So it literally represents 4 times 10,000, or 4 ten thousands, or 40,000. So let's actually compare the value that we're getting here versus here. So what's the difference between 40,000 and 40? Well, 40,000 has four zeroes while 40 only has one. So if you wanted to go from 40 to 40,000, you would have to add three more zeroes. And we already know how to do that. You could add three more zeroes by multiplying by 1,000. So 40,000 is equal to 1,000 times 40. Or we could say the 4 on the left here, this blue circled 4 represents 1,000 times the value as the yellow circled 4. Now, another way of thinking about it is every time you move place values to the left, as you see here-- this is tens, hundreds, thousands, ten thousands-- you're increasing what those place values represent by a factor of 10. So if you're going from this 4 to this 4, times 10 times 10 times 10, you multiply by 10 the place value. And you see that with the place values right over here, the place values increase by a factor of 10 each time. So if you're going from this place to this place, and you have the exact same digit there, multiplying by 10 three times is the same thing as multiplying by 1,000. So whatever this represents, multiply it by 1,000, and you're going to get what this represents.