Before you understand this topic, you must known: How to find place value of digits in decimals ?
Now to understand how to write Decimals in expanded form, study the following examples:
Example 1: Write 1234.5 in expanded form.
Solution: Given decimals is 1234.5
And the place value of all the digits of decimal 1234.5 is as follows:
Digit 5 is at tenths place, so its numeric value =  5 10 
Digit 4 is at ones place, so its numeric value = 4
Digit 3 is at tens place, so its numeric value = 30
Digit 2 is at hundreds place, so its numeric value = 200
Digit 1 is at thousands place, so its numeric value =1000
Now as per the numeric values; given decimal 1234.5 can be written in expanded form as:
1000 + 200 + 30 + 4 +  5 10 
Example 2: Write 1234.56 in expanded form.
Solution: Given decimal is 1234.56
And the place value of all the digits of decimal 1234.56 is as follows:
Digit 5 is at tenths place, so its numeric value =  5 10 
Digit 6 is at hundredths place, so its numeric value =  6 100 
Digit 4 is at ones place, so its numeric value = 4
Digit 3 is at tens place, so its numeric value = 30
Digit 2 is at hundreds place, so its numeric value = 200
Digit 1 is at thousands place, so its numeric value =1000
Now as per the numeric values; given decimal 1234.56 can be written in expanded form:
1000 + 200 + 30 + 4 +  5 10  +  6 100 

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