Addition of Numbers Using Partial Sum (Definition, Types and Examples) – BYJUS

# Addition of Numbers Using Partial Sum

Addition using partial sums is one of the many strategies that we use for adding two numbers. Adding numbers using partial sum helps us add two numbers in the decreasing order of the place value. We start by splitting the number into hundreds, tens, and ones. And then we find the sum of the hundreds, sum of the tens, and sum of the ones. This method of adding two numbers helps us avoid accidental mistakes....Read MoreRead Less ## What is meant by a Partial Sum in math?

When adding large numbers, addition of partial sums helps in breaking the calculation apart and putting the numbers together in accordance with their place valuesThe partial sum method in math involves calculating the partial sums of one place value column at a time and then adding all the partial sums together to find the total sum. Usually, partial sums are added from left to right.

## How do we add using the Partial Sums method?

The partial sums method begins by adding up the numbers in the hundreds place (if it’s a three-digit number), then adding up the numbers in the tens place, and then the numbers in the ones place. Finally, we add up all the partial sums.

## Helpful Resources for Kids

Revise Math formulas and important concepts using our Math worksheets! These worksheets help students to develop Math skills in a fun and interesting way. Click the link below to get all the easy-to-comprehend math calculators and worksheets.

## Solved Examples

Example 1: Find: 652 + 346 = ____

Solution: First, arrange the numbers as per their place values.

Hundreds

Tens

Ones

6

5

2

3

4

6

Now, find the partial sums. After adding the partial sums, the total sum is 998.

Example 2: Find the sum of 362 and 453 using the partial sum method.

Solution: Let us first arrange the numbers as per their place values.

Hundreds

Tens

Ones

3

6

2

4

5

3

Next, we will find the partial sums. Once the partial sums are added together to get the total sum, the answer will be 815.

Example 3: What is the sum of 442 and 216?

Solution: To find the sum of the above problem, first arrange the numbers as per their place values.

Hundreds

Tens

Ones

4

4

2

2

1

6

Let us now add the partial sums. Once the partial sums are found, add them up to find the total sum.

The answer is 658

Example 4: There are 266 books in a library. After a week, another 156 books were added to the library. Find the total number of books in the library.

Solution: Let us arrange the numbers according to their place values.

Hundreds

Tens

Ones

2

6

6

1

5

6

Now, we will add the partial sums. The sum is 422.

Hence, the total number of books in the library is 422.

Example 5: Jim bought 34 comic books. His mother gifted him 28 more. How many comic books does Jim have in total?

Solution: Let us first arrange the numbers according to their place values.

Tens

Ones

3

4

2

8

Now, we will add the partial sums. The sum is 62.

Jim has a total of 62 comic books.

## Math Curriculum for all Grades

Our online math classes are specially designed keeping in mind your child’s age and academic level needs. Click the links below to know more details regarding our grades 1 to 8 online math classes.