Main content

## Arithmetic (all content)

### Course: Arithmetic (all content) > Unit 1

Lesson 7: Intro to place value- Finding place value
- Use place value blocks to show numbers within 1,000
- Place value blocks within 1,000
- Place value tables within 1,000
- Place value tables within 1,000
- Identifying value in digits
- Identify value of a digit
- Creating the largest number
- Create the largest number
- Creating largest or smallest number
- Place value blocks
- Place value blocks
- Place value: comparing same digit in different places
- Whole number place value review

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# Whole number place value review

Review whole number place value, and try some practice problems.

## Place value chart

The number 7, comma, 654, comma, 321 can be placed on a place value chart as follows:

Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones |
---|---|---|---|---|---|---|

7 | 6 | 5 | 4 | 3 | 2 | 1 |

## Whole number place value

In a whole number, the digit farthest to the right is always in the ones place. The next farthest to the right is in the tens place. The remaining digits continue to fill in the place values until there are no digits left.

**Example: 459**

The number start color #11accd, 4, end color #11accd, start color #1fab54, 5, end color #1fab54, start color #e07d10, 9, end color #e07d10 is made up of start color #11accd, 4, end color #11accd hundreds, start color #1fab54, 5, end color #1fab54 tens, and start color #e07d10, 9, end color #e07d10 ones.

We can also write this as: start color #11accd, 4, end color #11accd, start color #1fab54, 5, end color #1fab54, start color #e07d10, 9, end color #e07d10, equals, start color #11accd, 400, end color #11accd, plus, start color #1fab54, 50, end color #1fab54, plus, start color #e07d10, 9, end color #e07d10.

Or we can use a place value chart:

Thousands | Hundreds | Tens | Ones |
---|---|---|---|

start color #11accd, 4, end color #11accd | start color #1fab54, 5, end color #1fab54 | start color #e07d10, 9, end color #e07d10 |

**Note:**The farther the digit is to the left, the greater its place value. For example, 6 hundreds is greater than 6 ones because hundreds are farther to the left.

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

## Practice

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

Intro to place value

Creating the largest or smallest number

Place value blocks

## Want to join the conversation?

- Wait, How would you divide 10 by 22....22 doesn't go into 10(56 votes)
- you cannot because hen you divide the divisor has to be larger than the dividend unless you do fractions or decimals(24 votes)

- Why is place value useful?(10 votes)
- There's a concept in higher sciences like chemistry and biology called significant figures. It's complicated, but it is based on place value.(11 votes)

- if you have a two 4 digit number and two numbers are the same,they must be different because they are on different place values.(8 votes)
- What happens to a number when the digits move to the right?(3 votes)
- I have hit the correct answer of 5000 but it doesnt register(6 votes)
- you have to put a comma between the 5 and zero. 5,000(1 vote)

- what will it be if there was more unknown numbers(6 votes)
- How do you divide 100 by 90?(5 votes)
- why does 9 hundreds divided by 10 = 90 tens?(3 votes)
- 900/10 = 90 which is actually 9 tens not 90 tens. Good luck in attempting.(4 votes)

- That was easy😁but,I don't know how to finish😕(4 votes)
- 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.(3 votes)