What are Place Values?
Place values are the values of each digit in a number based on its position. Starting from the right, each place value gets bigger by 10 times. The place values are:
- Ones (1)
- Tens (10)
- Hundreds (100)
How to Write Numbers in Expanded Form
Let’s take the number 456. To write this number in expanded form, we break it down into its place values:
- 400 (hundreds)
- 50 (tens)
- 6 (ones)
So, the expanded form of 456 is:
400 + 50 + 6
Why is Expanded Form Important?
Writing numbers in expanded form helps us understand the value of each digit and how they contribute to the total number. It’s like breaking down a big puzzle into smaller pieces!
Example
Let’s try another example. The number 279 can be broken down into:
- 200 (hundreds)
- 70 (tens)
- 9 (ones)
So, the expanded form of 279 is:
200 + 70 + 9
Conclusion
In conclusion, expanded form is a powerful tool that helps us understand numbers better. By breaking down numbers into their place values, we can see how each digit contributes to the total number. So, next time you see a big number, try breaking it down into its expanded form!