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### Course: 5th grade > 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?(280 votes)
- Decimals were created by the Chinese at the end of 4th century BCE(118 votes)

- can you get points for doing good work

:\(96 votes)- Do you mean Khan Academy's energy points? If so, yes! You'll get energy points for doing practice problems and watching videos. :)(91 votes)

- when was decimals first used in history?🤔(40 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.(61 votes)

- why are decimals called decimals and also how were numbers made?(22 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(23 votes)

- Why were decimals created?(8 votes)
- Hi addie! Decimals were created to show that there is a total less than 1. For example, let's say that you had a cookie. Then, maybe your friend eats 0.3 or 3/10 of that cookie. That's basically why decimals were created. Also, they are essential when you do percentages later. If you had 75% of 1 cookie, it's the same as saying you had 0.75 of a cookie. Hope this helps. Have an amazing day! 😁(13 votes)

- why are decimals needed?(8 votes)
- For money, measurements, and lots more thats just a few. You use decimals for measurements so you can get the exact measurement. And you use it for money when you have change.(5 votes)

- hi people howya doin?(8 votes)
- I'm doing good,you?(2 votes)

- If I converted
**23/100**into**decimals**, would it look like this?**0.023**(5 votes)- that is a great question but I think that the right way to write 23/100 would be 0.23 hope you have an a amazing day!(3 votes)

- can u go farther than thousanths(3 votes)
- Yes. Decimal place values can go as far as we like. After thousandths, the next decimal place values are ten-thousandths, hundred-thousandths, millionths, ten-millionths, hundred-millionths, billionths, and so on. Some decimals even have an infinite number of digits. For example 1/3 = 0.3333… with the 3’s repeating forever.(6 votes)

- Why did people add letters to math? I don't get how it will help you in life.(5 votes)