 # Adding Numbers in Expanded Form – Definition, Facts, Examples | How to do Expanded Form Addition?

Adding Numbers in Expanded Form can make the addition process simple. While moving to the large number addition, students may get confused while calculating addition. But if the students use Adding Numbers in Expanded Form, then they can easily solve the addition problems for large and small problems within a short period of time with accurate calculation. Get to know what is meant by expanded form, how to add numbers in expanded form,  examples of expanded form addition in the later sections of the article.

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## How to Add Numbers in Expanded Form?

Adding Numbers in Expanded Form can possible as mentioned below. Carefully, read out the below process and follow it to find the Addition of Expanded Form of a Number.

(i) Note down the problems and write them in expanded form.
(ii) Write down the problem in columns.
(iii) Simplify the problem from the one’s column, ten’s column, and then hundred’s column.
(iv) If you get a carry while adding one’s column, then forward it to the ten’s column and add with the ten’s column digits.
(v) Similarly, if you get a carry while adding ten’s column, then forward it to the hundred’s column, and so on.
(vi) Finally, write down the answer.

Addition of 2-Digit Numbers in Expanded Form

Check out the below problems to know how to add 2-Digit Numbers in Expanded Form. We have given different examples on the Addition of 2-Digit Numbers in Expanded Form.

Example 1.
Solution:
Given numbers are 43 and 36.
Now, numbers are written in column form. Explanation:
Firstly, add ones: 3 ones + 6 ones = 9 ones.
There is no carry. Therefore, now add tens.
Add Tens: 4 tens + 3 tens = 7 tens.
Write the 9 ones in one’s column and write the 7 tens in the tens column.

Example 2.
Add the expanded form of the numbers 23 + 16
Solution:
The given numbers are 23 and 16.
Write 23 in an expanded form. 23 = 20 + 3
Write 16 in an expanded form. 16 = 10 + 6
Now, add the digits of one’s place.
3 ones + 6 ones = 9 ones.
Again add the numbers of ten’s place
20 + 10 = 30

Therefore, the total sum = 30 + 9 = 39.

Example 3.
Add 52 and 24 in long form?
Solution:
The given numbers are 52 and 24. Explanation:
Write 52 in an expanded form. 52 = 50 + 2
Write 24 in an expanded form. 24 = 20 + 4
Now, add the digits of one’s place.
Sum of digit of one’s place = 2 ones + 4 ones = 6 ones.
Again add the numbers of ten’s place.
Sum of digit of ten’s place = 5 ten’s + 2 ten’s = 7 ten’s

Therefore, the total sum = 70 + 6 = 76.

Example 4.
Add 27 and 50 in short form.
Solution:
The given numbers are 27 and 50. Explanation:
Write 27 in an expanded form. 27 = 20 + 7
Write 50 in an expanded form. 50 = 50 +0
Now, add the digits of one’s place.
Sum of digit of one’s place = 7 ones + 0 ones = 7 ones.
Again add the numbers of ten’s place.
Sum of digit of ten’s place = 2 ten’s + 5 ten’s = 7 ten’s

Therefore, the total sum = 70 + 7 = 77.

Example 5.
Add the expanded form of the numbers 47 + 25
Solution:
The given numbers are 47 and 25. Explanation:
Write 47 in an expanded form. 47 = 40 + 7
Write 25 in an expanded form. 25 = 20 + 5
Now, add the digits of one’s place.
Sum of digit of one’s place = 7 ones + 5 ones = 12 ones.
12 ones = 10 ones + 2 ones
10 ones = 1 ten.
Sum of digit of ten’s place = 4 ten’s + 2 ten’s = 6 ten’s.
6 ten’s + 1 ten = 7 ten’s

Therefore, the total sum = 60 + 10 + 2 = 72.

Addition of 3-Digit Numbers in Expanded Form:
Add 3-Digit Numbers in Expanded Form by following the below methods. Practice every problem given below to learn the addition of 3-Digit Numbers in Expanded Form.

Example 6.
Solution:
The given numbers are 425 and 341. Explanation:
Write 425 in an expanded form. 425 = 400 + 20 + 5
Write 341 in an expanded form. 341 = 300 + 40 + 1
Now, add the digits of one’s place.
Sum of digit of one’s place = 5 ones + 1 ones = 6 ones.
Again add the numbers of ten’s place.
Sum of digit of ten’s place = 2 ten’s + 4 ten’s = 6 ten’s.
Again add the numbers of hundred’s place.
Sum of digit of hundred’s place = 4 hundred’s + 3 hundred’s = 7 hundred.

Therefore, the total sum = 700 + 60 + 6 = 766.

Example 7.
Add 472 and 416 by arranging the numbers in expanded form.
Solution:
The given numbers are 472 and 416. Explanation:
Write 472 in an expanded form. 472 = 400 + 70 + 2
Write 416 in an expanded form. 416 = 400 + 10 + 6
Now, add the digits of one’s place.
Sum of digit of one’s place = 2 ones + 6 ones = 8 ones.
Again add the numbers of ten’s place.
Sum of digit of ten’s place = 7 ten’s + 1 ten’s = 8 ten’s.
Again add the numbers of hundred’s place.
Sum of digit of hundred’s place = 4 hundred’s + 4 hundred’s = 8 hundred.

Therefore, the total sum = 800 + 80 + 8 = 888.

Example 8.
Add 342, 513, and 466 by arranging the numbers in expanded form.
Solution:
The given numbers are 342, 513, and 466. Explanation:
Write 342 in an expanded form. 342 = 300 + 40 + 2
Write 513 in an expanded form. 513 = 500 + 10 + 3
Write 466 in an expanded form. 466 = 400 + 60 + 6
Now, add the digits of one’s place.
Sum of digit of one’s place = 2 ones + 3 ones + 6 ones = 11 ones.
11 ones = 10 ones + 1 ones
10 ones = 1 ten
There is one carry after adding one’s digits.
Add the carry to the ten’s digits.
Again add the numbers of ten’s place.
Sum of digit of ten’s place = 4 ten’s + 1 ten’s + 6 ten’s = 11 ten’s.
11 ten’s = 10 ten’s + 1 ten.
10 ten’s = 1 hundred
There is one carry after adding ten’s digits.
Add the carry to the hundred’s digits.
Again add the numbers of hundred’s place.
Sum of digit of hundred’s place = 3 hundred’s + 5 hundred’s + 4 hundred’s = 12 hundred.

Therefore, the total sum = 1200 + 110 + 11 = 1321.

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