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### Course: Numbers & Operations - The Real & Complex Number Systems 211-217 > Unit 1

Lesson 1: Decimal place value intro# Decimal place value review

Review decimal place value, and try some practice problems.

## Place value chart

The number $87.654$ can be placed on a place value chart as follows:

Tens | Ones | . | Tenths | Hundredths | Thousandths | |
---|---|---|---|---|---|---|

## Decimal place value

The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

**Example:**$0.81$

The number $0.{8}{1}$ is made up of ${8}$ tenths and ${1}$ hundredth.

We can also write this as:

or

Or we can use a place value chart:

Ones | . | Tenths | Hundredths |
---|---|---|---|

*Want to learn more about decimal place value? Check out this video.*

*Want to review whole number place value? Check out this article.*

## Practice

*Want to try more problems like this? Check out these exercises:*

Decimal place value names

Value of a decimal digit

## Want to join the conversation?

- who created decimals?(232 votes)
- Decimals were created by the Chinese at the end of 4th century BCE(76 votes)

- can you get points for doing good work

:\(76 votes)- Do you mean Khan Academy's energy points? If so, yes! You'll get energy points for doing practice problems and watching videos. :)(69 votes)

- when was decimals first used in history?🤔(25 votes)
**4th Century BC**

The first decimal system was introduced in the 4th Century BC by the Sumerians of Mesopotamia, to whom the invention of writing is credited. They based their numerical system on powers of 60 subdivided into multiples of 10.(48 votes)

- why are decimals called decimals and also how were numbers made?(19 votes)
- numbers were made in the pristoric times when people used them in the caves on the wall and desimals were made in china and then it got to the middle east and then boom here we are doing desimals(16 votes)

- i dont under stand(15 votes)
- You do 0.008 instead of 9.038(10 votes)

- Will one of us someday be the new Albert Einstein?(10 votes)
- It's possible! If you study hard, maybe you'll be able to figure out some of the problems that Einstein had difficulty with.(11 votes)

- It's hard but it got easier and easier and easier(13 votes)
- Hi guys I don’t get place value with decimals. can u help me(9 votes)
- sure.

if you have 2 dollars and 50 cents your total is 2.50 the .5 in this is going to be your fifty cents.

if you has just got something and got .05 of a dollar back that is five cents.

do you get it now?(11 votes)

- who created math's

why do he create maths(10 votes)- man, I don't know but I think he hated peoples(5 votes)

- This app is not for messing around it's for helping one another, and please be more kind with the words you use on the internet. That will follow you for the rest of your life and if you don't take this request seriously then I will assure you that there is a digital footprint. Yes, the name may sound funny but it's real, this message I sent will go to my digital footprint.

Thank you(4 votes)