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Lesson 6: Comparing decimals

# Comparing decimals: 156.378 and 156.348

This video is all about comparing decimals. Learn how to determine which decimal is greater by comparing each place value, starting from the left and moving right, until a difference is found. Created by Sal Khan.

## Want to join the conversation?

• in the number 2,145,857 how does the digit 5 in the thousands place compare to the digit 5 in the tens place?
• Well, first of all, since the 5 in the thousands place is in a higher place value than the 5 in the tens place. Using this information, we can convert each of these 5s into numbers based on their place value, which will give us 5000 and 50. 5000 is evidently larger than 50. IT would be 100 times larger which you can figure out by dividing 5000 by 50.
• I understaned but its cofusing can you explain a littel diffrently?
• If you watch the video again, you may understand it better.
• I still don't get why you would ignore the 8ths place.
• Because there is no chance the number could be bigger since the place before it is larger.
• So after thousandths it is ten thousandths?
• Yes.Tenths,hundredths,thousandths and ten thousandths.:)
• Does the place value of the whole number effect it?
• At ,what does Sal mean by saying "because in the more significant place.."?And isn't the 8 in the thousandths place significant?
• When he says "significant place", Sal means that the place has a larger impact on the value of the number. For example, let's take 10.2.
If we change the 0.2 to maybe 0.3, the number's value only increases by 0.1. However, if we take a more significant place, such as the 10 and change it to 20, the number's value practically doubles! So, the tens place has more impact, or is more significant than the tenths place.
As you leftwards in a number, the places get more and more significant. As you go rightwards, they get more and more precise.
• ok now i feel dumb for not knowing this

First, line up the decimal points. This is an important step! If there are any missing digits, you can write 0’s for them.

The idea is that columns to the left are more important than columns to the right. Start at the column farthest to the left and compare the digits. Larger digits in this column mean larger decimals.

Only if there’s a tie, go to the next column to the right and compare those digits. Larger digits in that column mean larger decimals. Continue this process until there are either no more ties or no more digits.

Have a blessed, wonderful day!