Expanded notation is a way to write a number as the
sum of the value of each digit based on its place value.
First, identify the value of each digit in the number based on its place value.
The 5 in the ten thousands place represents 5 ten thousands.
So, the value of the 5 in the ten thousands place is 50,000.
The 5 in the thousands place represents 5 thousands.
So, the value of the 5 in the thousands place is 5,000.
The 8 in the hundreds place represents 8 hundreds.
So, the value of the 8 in the hundreds place is 800.
The 7 in the tens place represents 7 tens.
So, the value of the 7 in the tens place is 70.
The 4 in the ones place represents 4 ones.
So, the value of the 4 in the ones place is 4.
Then, to write the number in expanded notation, write the values as a sum.
50,000 + 5,000 + 800 + 70 + 4
In expanded form, the number is separated into a sum of the values of each digit.
This number has a 2 in the ten thousands place, a 1 in the thousands place, a 9 in the hundreds place, a 7 in the tens place, and a 2 in the ones place.
So, 20,000 + 1,000 + 900 + 70 + 2 written in standard notation is 21,972.