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Lesson 9: Comparing decimals visually

# Comparing decimal numbers on a number line

Sal compares decimals on a number line. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• why would we need them in a line
• Hi, Edwin!

Just like how you count 1 to 2 to 3 to 4, we are also increasing our values as we go right and decrease them as we go down.

The number line is to help us evaluate the location of a number or fraction on a scale. it is also a pointer that if we add, subtract, multiple, or divide said numbers into each other, where they would end up or be on said number line.

It's not crucial to use a number line in order to do these problems. the number line is mostly a visual representation and a helpful reminder for people who have trouble spotting where their numbers should be.

Thank you so much for the question! have a nice day! :)
• he said lumber line it's ok though
• i keep getting them wrong. can you please explain this more clearly?
• You may want to watch the video again if you haven't already. Concepts take time to sink in. If you are still struggling, you can get help another person.
• \o/
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this is dave. be nice to dave
• ⚫-⚫ ⚈-⚈ ⛣
like what is the mening of life
• Tatum, there is no in this video. the video only goes up to
(1 vote)
• my number line starts with 5.1 and goes to 5.2 can you help me find the 9 missing number in between
• There are actually infinitely many numbers in between those two numbers. There are infinitely many numbers in between any two numbers. However, what I think you're looking for is: `5.11, 5.12, 5.13, 5.14, 5.15, 5.16, 5.17, 5.18, 5.19`
• i understand this problem very much
• why do we have decimals?
• Can their be different types of questions
• Can you make a fraction number line, too? How would you do that?
(1 vote)
• You would have your starting number, and then you would have fractions like 1/8, 1/4 etc. and go up to you ending number.

## Video transcript

Use a number line to compare 11.5 and 11.7. So let's draw a number line here. And I'm going to focus between 11 and 12, because that's where our two numbers are sitting. They're 11, and then something else, some number of 10ths. So this right here is 11. And this right here would be 12. And then let me draw the 10ths. So this would be smack dab in between. So that would be 11 and 5/10, or that would be 11.5. Well, I've already done the first part. I've figured out where 11.5 is. It's smack dab in between 11 and 12. It's 11 and 5/10. But let me find everything else. Let me mark everything else on this number line. So that's 1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10, and then 10/10, right on the 12. It's not completely drawn to scale. I'm hand-drawing it as good as I can. So where is 11.7 going to be? Well, this is 11.5, this is 11.6, this is 11.7. 11 and 7/10. 1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10. This is 11.7. And the way we've drawn our number line, we are increasing as we go to the right. 11.7 is to the right of 11.5. It's clearly greater than 11.5. 11.7 is greater than 11.5. And really, seriously, you didn't have to draw a number line to figure that out. They're both 11 and something else. This is 11 and 5/10. This is 11 and 7/10. So clearly, this one is going to be greater. You both have 11, but this has 7/10, as opposed to 5/10.