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Lesson 5: Comparing decimal place values

# Comparing decimal place values

Explore the concept of place value in multi-digit numbers, emphasizing how a digit's value changes based on its position. Understand how a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Created by Sal Khan.

## Want to join the conversation?

• Im a little confused. Would it be okay to say that Each place value to the right is 10x smaller than the left place value. For example .02 is 10x smaller than .2 Can 10x smaller mean division by 10.
• Simply put, any decimal x 10 would add one more zero to the right - or would shift the decimal place one time to the right. So, if x 10 moves it ONE step to the right, then x 100 would move it TWO steps to the right and x 1000 would move it THREE steps (and so on)...
Division by 10 works the same way, only the decimal place moves to the left with every greater value of 10.
• I really don't get how to compare place values. It's just very difficult and confusing for me. I viewed a couple of films but none seemed to be right. Could you leave a comment explaining it to me or remake a new video with an easier understanding of things?
• if your dividing with it move the decimal to the left
• Your maths is great Sal! Who taught you this stuff??
• I'm not sure but he started Khan Academy when he was trying to teach some kids in another country, that's what my parents say.
• Is there a term for the numbers on the left of the decimal number and the numbers to the right?
• I would call the numbers on the left the whole number part and those on the right the decimal part.
• Using the number 439,607, give the number that is one-tenth as much as the value of the hundred thousands place
• 4 is the number in the hundred thousands place, so what is one-tenth of 4?

1 4
-- x -- = 4/10 or 2/5
10 1
• ok great we know how much bigger one number is than the other.... what does this accomplish? what is this going to build into? how does this help me understand a tougher subject? or an important one? from what I have seen from this type of math it wont build into anything. they will just move on leaving you with a pointless extra thing in your head.
• I don't understand how they do the math to get the answer.The video is really confusing.And it's really confusing with the place value.I don't understand how they multiply the whole numbers by decimals.And I thought it was confusing with the fractions.