Expanded notation is a way to write a number as the
sum of the value of each digit based on its place value.
First, use place value to find the value of each digit in the number.
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, write the values as a sum to write the number in expanded form.
800 + 70 + 4
In expanded form, the number is separated into a sum of the values of each digit.
The 900 means the number has a 9 in the hundreds place.
The 70 means the number has a 7 in the tens place.
The 2 means the number has a 2 in the ones place.
So, 900 + 70 + 2 written as a number is 972.