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Course: Arithmetic > Unit 11
Lesson 4: Decimal place value introDecimal place value review
Review decimal place value, and try some practice problems.
Place value chart
The number 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:
The number is made up of tenths and 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
Decimal place value names
Value of a decimal digit
Want to join the conversation?
- who created decimals?(252 votes)
- Decimals were created by the Chinese at the end of 4th century BCE(93 votes)
- can you get points for doing good work
:\(83 votes)- Do you mean Khan Academy's energy points? If so, yes! You'll get energy points for doing practice problems and watching videos. :)(76 votes)
- when was decimals first used in history?🤔(30 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.(55 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(18 votes)
- Why were decimals created?(4 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! 😁(2 votes)
- why are decimals needed?(4 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.(2 votes)
- Why are decimals so important?(3 votes)
- We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.(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.(3 votes)
- Why did they make math(4 votes)
- Do decimals only go up to thousandths?(3 votes)
- No, but you can believe, it's endless actually!
Thank You, have a nice day!(2 votes)