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# Comparing decimals: 156.378 and 156.348

Sal compares 2 decimals using place value. Created by Sal Khan.

## Want to join the conversation?

• So after thousandths it is ten thousandths?
• Yes.Tenths,hundredths,thousandths and ten thousandths.:)
• Does the place value of the whole number effect it?
• what is bigger 3489 or 3469 can u make it in a video plss?
• Since your 2 numbers have the same number of digits, compare the digits from left to right until you find a digit that is different.
For example - which is smaller: 53,892 or 53,982
-- The 1st digits are both 5
-- The 2nd digits are both 3
-- The 3rd digits are different the 1st number has 8, the other has 9. 8 is smaller than 9. So, the 1st number (53,892) is the smallest of the 2 numbers.

Now, try the process with your 2 numbers. Comment back if you have questions.
• ok um this is hard can somebody help me
• There the same. It's just the four and six in the hundredths place. Comparing them is now easer.
• Why is there no oneths place? PLEASE explain that to me
• There is a "oneths" place, but it is not called that. It's called the units place. This is the place that is immediately before the decimal point.

Have a blessed, wonderful day!
• 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.
• Nevergiveup, yes, yes it does
• 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!