Are you ready?
Can you partition numbers up to the thousands (4 digits)?
Examples
Example 1
We have written a number in the number expander.
What is the value of the tens?
What is the value of the hundreds?
Numbers can be described using any place value such as thousands, hundreds, tens and units.
Expanded notation of 5 digit numbers
Let's see how to break up a 5 digit number, and then put it back together. We'll start with a 4 digit number to warm up.
Exploration
Enter a five digit number into the applet and drag the number tiles around to see what amount each digit represents.
Any five digit number can be expanded by their ten thousands, thousands, hundreds, tens, and units value.
Examples
Example 2
Fill in the number expander for 60\,908.
| 60\,908 | = | ⬚ | \text{ten thousands} | ⬚ | \text{thousands} | ⬚ | \text{hundreds} | 0 | \text{tens} | 8 | \text{units} |
|---|
Write 60\,908 as a number sentence.
⬚+⬚+⬚
Example 3
Write the following as a single number: 10\,000+7000+90.
Except for the far left digit of our number, every place must have a number in it. If we don't have any of a place, we must put a zero in that place. The number twenty eight thousand and forty nine has no hundreds, so we would write it like this 28\,049.