1.11 Partition larger numbers
Are you ready?
We have looked at how to break up four digit numbers and use a number expander to help us see the parts in our number.
Examples
Example 1
We have written the number 4050 in a number expander.
Fill in the boxes to make the sentences correct.
We can break up this number into ⬚ thousands and 5 tens.
We can break up 4050 into ⬚ hundreds and 50 units.
Another word that we can use to describe the ones place is 'units'.
Every number can be made in different ways, and it doesn't change the value of the number. The number 3800 has the same value as:
3 thousands and 8 hundreds
38 hundreds
380 tens, or
3800 ones
Partition and build larger numbers
Let's look at how we can break up larger numbers using place value.
Examples
Example 2
We're going to write 56\,713 in expanded form.
Fill in the number expander for 56\,713.
56\,713=⬚ \, \text{ Ten-Thousands }⬚ \, \text{ Thousands }⬚ \, \text{ Hundreds }⬚ \, \text{ Tens }⬚ \, \text{ Units}
56\,713=⬚+⬚+⬚+10+3
Example 3
We have written the number 21\,476 in the following number expander:
Fill in the boxes below to make the sentences correct.
We can break up this number into ⬚ ten thousands, ⬚ hundreds, and 76 units.
We can also break up 21\,476 into only hundreds and units.
Written in this way, the number is made up of ⬚ hundreds and 76 units.
Every number can be made in different ways, and it doesn't change the value of the number. The number 246\,000 has the same value as:
2 hundred thousands and 46 thousands
2 hundred thousands and 40 thousands and 6 thousands
246 thousands,
2460 hundreds,
24\,600 tens, or
246\,000 units.