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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, point, 654 can be placed on a place value chart as follows:
TensOnes.TenthsHundredthsThousandths
87point654

## 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, point, 81
The number 0, point, start color #11accd, 8, end color #11accd, start color #1fab54, 1, end color #1fab54 is made up of start color #11accd, 8, end color #11accd tenths and start color #1fab54, 1, end color #1fab54 hundredth.
We can also write this as:
0, point, start color #11accd, 8, end color #11accd, start color #1fab54, 1, end color #1fab54, equals, start color #11accd, 0, point, 8, end color #11accd, plus, start color #1fab54, 0, point, 01, end color #1fab54
or
0, point, start color #11accd, 8, end color #11accd, start color #1fab54, 1, end color #1fab54, equals, start color #11accd, start fraction, 8, divided by, 10, end fraction, end color #11accd, plus, start color #1fab54, start fraction, 1, divided by, 100, end fraction, end color #1fab54
Or we can use a place value chart:
Ones.TenthsHundredths
0pointstart color #11accd, 8, end color #11accdstart color #1fab54, 1, end color #1fab54
Want to learn more about decimal place value? Check out this video.
Want to review whole number place value? Check out this article.

## Practice

Problem 1
• Current
The digit start color #1fab54, 9, end color #1fab54 in which number represents a value of 0, point, 009?

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?
• According to Google, a Scottish mathematician named John Napier created them. I wish he hadn't, they're so BORING!
• how do you get this down so fast i cant understand a bit!
• Keep trying and you will get it down...like they always say ¨Practice makes perfect:)¨
• These seem really easy... am I missing something? If not, I look forward to the unit test! Can you make these a bit harder?
• I say don't push your luck. unit tests can get harder and if you do decimals with heart or, as a matter of fact, you do anything with heart it becomes easy.
• can you get points for doing good work
:\
• Do you mean Khan Academy's energy points? If so, yes! You'll get energy points for doing practice problems and watching videos. :)
• when was decimals first used in history?🤔
• 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.
• i put in 6 tenths but it says WRONG
• For real tho
• how do i spend energy points?
• You cannot spend energy points, however, if you get enough of them, you can earn some neat badges!