**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 8 in the hundred thousands place represents 8 hundred thousands.

So, the value of the 8 in the hundred thousands place is 800,000.

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, write the values as a sum to write the number in expanded notation.

800,000 + 50,000 + 5,000 + 800 + 70 + 4

Find the sum to write the number in standard notation.

20,000 + 1,000 + 900 + 70 + 2 = 21,972

Multiply each digit by its place value.

The value of the 1 in the hundreds place is 1 × 100.

The value of the 1 in the tens place is 1 × 10.

The value of the 8 in the ones place is 8 × 1.

The value of the 4 in the tenths place is 4 × $\frac{1}{10}$.

The value of the 4 in the hundredths place is 4 × $\frac{1}{100}$.

So, the number in expanded notation is

1 × 100 + 1 × 10 + 8 × 1 + 4 × $\frac{1}{10}$ + 4 × $\frac{1}{100}$.